BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Reduced Order Models for Fluid Structure Interaction
DTSTART;VALUE=DATE-TIME:20190711T090000Z
DTEND;VALUE=DATE-TIME:20190711T094500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-237@indico.sissa.it
DESCRIPTION:Speakers: Gianluigi Rozza (Full professor)\nhttps://indico.sis
sa.it/event/34/contributions/237/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/237/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Non-Intrusive Reduced Order Models for CFD
DTSTART;VALUE=DATE-TIME:20190711T094500Z
DTEND;VALUE=DATE-TIME:20190711T103000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-242@indico.sissa.it
DESCRIPTION:Speakers: Marco Tezzele (SISSA)\nhttps://indico.sissa.it/event
/34/contributions/242/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/242/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Practical Session with ITHACA-FV
DTSTART;VALUE=DATE-TIME:20190711T120000Z
DTEND;VALUE=DATE-TIME:20190711T124500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-243@indico.sissa.it
DESCRIPTION:Speakers: Giovanni Stabile ()\nhttps://indico.sissa.it/event/3
4/contributions/243/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/243/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Spectral Element Method for Computational Fluid Dynamics
DTSTART;VALUE=DATE-TIME:20190711T070000Z
DTEND;VALUE=DATE-TIME:20190711T074500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-250@indico.sissa.it
DESCRIPTION:Speakers: Martin Hess (SISSA)\nhttps://indico.sissa.it/event/3
4/contributions/250/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/250/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced order modelling in bifurcating parametrised non-linear equ
ations
DTSTART;VALUE=DATE-TIME:20190709T153000Z
DTEND;VALUE=DATE-TIME:20190709T161500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-251@indico.sissa.it
DESCRIPTION:Speakers: Federico Pichi (Scuola Internazionale Superiore di S
tudi Avanzati - SISSA)\nhttps://indico.sissa.it/event/34/contributions/251
/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/251/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Best Practices in Programming
DTSTART;VALUE=DATE-TIME:20190710T120000Z
DTEND;VALUE=DATE-TIME:20190710T124500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-255@indico.sissa.it
DESCRIPTION:Speakers: Nicola Demo (MHPC)\nhttps://indico.sissa.it/event/34
/contributions/255/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/255/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Python Companion packages for preprocessing
DTSTART;VALUE=DATE-TIME:20190712T074500Z
DTEND;VALUE=DATE-TIME:20190712T083000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-260@indico.sissa.it
DESCRIPTION:Speakers: Nicola Demo (MHPC)\nhttps://indico.sissa.it/event/34
/contributions/260/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/260/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Model Reduction for Industrial Applications
DTSTART;VALUE=DATE-TIME:20190712T090000Z
DTEND;VALUE=DATE-TIME:20190712T094500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-258@indico.sissa.it
DESCRIPTION:Speakers: Andrea Mola (SISSA)\nhttps://indico.sissa.it/event/3
4/contributions/258/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/258/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Practical Session with ITHACA-FV
DTSTART;VALUE=DATE-TIME:20190711T124500Z
DTEND;VALUE=DATE-TIME:20190711T133000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-487@indico.sissa.it
DESCRIPTION:Speakers: Giovanni Stabile ()\nhttps://indico.sissa.it/event/3
4/contributions/487/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/487/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guest Lecture - Prof. Simona Perotto - HiMOD methods for Computati
onal Fluid Dynamics
DTSTART;VALUE=DATE-TIME:20190712T094500Z
DTEND;VALUE=DATE-TIME:20190712T103000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-489@indico.sissa.it
DESCRIPTION:Speakers: Simona Perotto (MOX\, Department of Mathematics\, Po
litecnico di Milano)\nhttps://indico.sissa.it/event/34/contributions/489/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/489/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction on Reduced Order Methods in CFD: State of the art and
Perspectives
DTSTART;VALUE=DATE-TIME:20190708T120000Z
DTEND;VALUE=DATE-TIME:20190708T124500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-248@indico.sissa.it
DESCRIPTION:Speakers: Gianluigi Rozza ()\nhttps://indico.sissa.it/event/34
/contributions/248/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/248/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stabilization for convection dominated problems
DTSTART;VALUE=DATE-TIME:20190711T140000Z
DTEND;VALUE=DATE-TIME:20190711T144500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-236@indico.sissa.it
DESCRIPTION:Speakers: Enrique Delgado (SISSA)\nhttps://indico.sissa.it/eve
nt/34/contributions/236/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/236/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A brief Technical Introduction on Reduced Order Methods based on G
alerkin Projection
DTSTART;VALUE=DATE-TIME:20190708T124500Z
DTEND;VALUE=DATE-TIME:20190708T133000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-482@indico.sissa.it
DESCRIPTION:Speakers: Gianluigi Rozza ()\nhttps://indico.sissa.it/event/34
/contributions/482/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/482/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Certified Smagorinsky reduced basis turbulence model
DTSTART;VALUE=DATE-TIME:20190709T124500Z
DTEND;VALUE=DATE-TIME:20190709T133000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-486@indico.sissa.it
DESCRIPTION:Speakers: Enrique Delgado ()\nhttps://indico.sissa.it/event/34
/contributions/486/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/486/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction on the Finite Volume Method and turbulence modelling
DTSTART;VALUE=DATE-TIME:20190710T070000Z
DTEND;VALUE=DATE-TIME:20190710T083000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-235@indico.sissa.it
DESCRIPTION:Speakers: Giovanni Stabile ()\, Michele Girfoglio ()\nhttps://
indico.sissa.it/event/34/contributions/235/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/235/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Computational reduction for CFD problems with turbulence
DTSTART;VALUE=DATE-TIME:20190710T090000Z
DTEND;VALUE=DATE-TIME:20190710T103000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-239@indico.sissa.it
DESCRIPTION:Speakers: Giovanni Stabile ()\nhttps://indico.sissa.it/event/3
4/contributions/239/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/239/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Introduction to the Discontinuous Galerkin Method and to compressi
ble flows
DTSTART;VALUE=DATE-TIME:20190711T144500Z
DTEND;VALUE=DATE-TIME:20190711T153000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-256@indico.sissa.it
DESCRIPTION:Speakers: Andrea Lario ()\nhttps://indico.sissa.it/event/34/co
ntributions/256/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/256/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduction in the parameter space
DTSTART;VALUE=DATE-TIME:20190712T070000Z
DTEND;VALUE=DATE-TIME:20190712T074500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-262@indico.sissa.it
DESCRIPTION:Speakers: Marco Tezzele (SISSA)\nhttps://indico.sissa.it/event
/34/contributions/262/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/262/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Installation of the software packages - Session 2
DTSTART;VALUE=DATE-TIME:20190709T090000Z
DTEND;VALUE=DATE-TIME:20190709T094500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-245@indico.sissa.it
DESCRIPTION:https://indico.sissa.it/event/34/contributions/245/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/245/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guest Lecture - Prof. Annalisa Quaini - Reduced-Order Modeling for
PDEs with bifurcating solutions: applications in CFD
DTSTART;VALUE=DATE-TIME:20190711T074500Z
DTEND;VALUE=DATE-TIME:20190711T083000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-257@indico.sissa.it
DESCRIPTION:Speakers: Annalisa Quaini ()\nhttps://indico.sissa.it/event/34
/contributions/257/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/257/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced Basis for Finite Element Problems
DTSTART;VALUE=DATE-TIME:20190708T144500Z
DTEND;VALUE=DATE-TIME:20190708T160000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-483@indico.sissa.it
DESCRIPTION:Speakers: Francesco Ballarin ()\nhttps://indico.sissa.it/event
/34/contributions/483/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/483/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A posteriori error estimation for certified reduced basis methods
DTSTART;VALUE=DATE-TIME:20190709T070000Z
DTEND;VALUE=DATE-TIME:20190709T074500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-246@indico.sissa.it
DESCRIPTION:Speakers: Francesco Ballarin (SISSA)\nhttps://indico.sissa.it/
event/34/contributions/246/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/246/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Non-affine (and nonlinear) problems
DTSTART;VALUE=DATE-TIME:20190709T074500Z
DTEND;VALUE=DATE-TIME:20190709T083000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-485@indico.sissa.it
DESCRIPTION:Speakers: Francesco Ballarin (SISSA)\nhttps://indico.sissa.it/
event/34/contributions/485/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/485/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Practical Session with RBniCS I : worked problems
DTSTART;VALUE=DATE-TIME:20190709T094500Z
DTEND;VALUE=DATE-TIME:20190709T103000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-252@indico.sissa.it
DESCRIPTION:Speakers: Francesco Ballarin et al. (SISSA)\nhttps://indico.si
ssa.it/event/34/contributions/252/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/252/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced Order Methods for Flow Control
DTSTART;VALUE=DATE-TIME:20190709T140000Z
DTEND;VALUE=DATE-TIME:20190709T150000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-254@indico.sissa.it
DESCRIPTION:Speakers: Maria Strazzullo (SISSA\, mathlab)\, Zakia Zainib (S
ISSA mathLab)\nhttps://indico.sissa.it/event/34/contributions/254/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/254/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hybrid ROMs for problems in computational fluid dynamics
DTSTART;VALUE=DATE-TIME:20190710T142400Z
DTEND;VALUE=DATE-TIME:20190710T142700Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-481@indico.sissa.it
DESCRIPTION:Speakers: Saddam N Y Hijazi (PhD student)\nIn this work\, we p
resent a hybrid approach for the reduction of fluid dynamics flows. The ap
proach proposed is based on mixing the traditional projection Galerkin met
hods with data-driven techniques. The goal is to reduce complex problems i
n CFD with special focus on turbulent flows. The data-driven techniques ar
e utilized in approximating certain fluid dynamics variables in the reduce
d dynamical system which resulted from a Galerkin projection.\n\nhttps://i
ndico.sissa.it/event/34/contributions/481/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/481/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Finite Volume Reduced Order Methods based on SIMPLE Algorithm
DTSTART;VALUE=DATE-TIME:20190710T142700Z
DTEND;VALUE=DATE-TIME:20190710T143000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-480@indico.sissa.it
DESCRIPTION:Speakers: Matteo Zancanaro (SISSA Mathlab)\nIn these last mont
hs we have been working on the resolution of the parametrized Navier Stoke
s problem. \nIn order to apply a reduction method\, we started from full o
rder solutions obtained by the use of the OpenFOAM package. \nWhat is new
in our work is the effort to follow the SIMPLE algorithm strategy\, used i
n the OpenFOAM full order solvers\, also for the reduced problem. The goal
is to have a reduced problem as consistent as possible with respect to th
e full order one.\nIn this poster the obtained results will be presented\,
giving a perspective also on future developments.\n\nhttps://indico.sissa
.it/event/34/contributions/480/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/480/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced Basis for Embedded Methods
DTSTART;VALUE=DATE-TIME:20190711T153000Z
DTEND;VALUE=DATE-TIME:20190711T161500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-261@indico.sissa.it
DESCRIPTION:Speakers: Efthymios Karatzas (SISSA)\nhttps://indico.sissa.it/
event/34/contributions/261/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/261/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Basics Of the Finite Element Method
DTSTART;VALUE=DATE-TIME:20190708T140000Z
DTEND;VALUE=DATE-TIME:20190708T144500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-247@indico.sissa.it
DESCRIPTION:Speakers: Francesco Ballarin ()\nhttps://indico.sissa.it/event
/34/contributions/247/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/247/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guest Lecture - Dr. Matteo Giacomini - The proper generalized deco
mposition: from low to high-order surrogate models in CFD
DTSTART;VALUE=DATE-TIME:20190712T103000Z
DTEND;VALUE=DATE-TIME:20190712T111500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-490@indico.sissa.it
DESCRIPTION:Speakers: Matteo Giacomini (Universitat Politècnica de Catalu
nya)\nhttps://indico.sissa.it/event/34/contributions/490/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/490/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Parametric reduced order methods for computational hemodynamics si
mulations
DTSTART;VALUE=DATE-TIME:20190709T150000Z
DTEND;VALUE=DATE-TIME:20190709T153000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-498@indico.sissa.it
DESCRIPTION:Speakers: Francesco Ballarin (SISSA mathLab)\, Zakia Zainib (m
athlab\, Mathematics area\, SISSA)\nhttps://indico.sissa.it/event/34/contr
ibutions/498/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/498/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced-Order Modeling (ROM) for MSR multiphysics simulations
DTSTART;VALUE=DATE-TIME:20190710T141800Z
DTEND;VALUE=DATE-TIME:20190710T142100Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-495@indico.sissa.it
DESCRIPTION:Speakers: Peter German (Texas A&M University)\nA Proper Orthog
onal Decomposition based Reduced-Order Model (POD-ROM) is presented for pa
rameterized multiphysics computations of the Molten Salt Fast Reactor (MSF
R) concept. The reduced-order model is created using the method of snapsho
ts where the training set is obtained by exercising a Full-Order Model (FO
M). The steady state model solves the multi-group diffusion k-eigenvalue e
quations with moving precursors together with the energy equation. A known
\, steady state velocity field is assumed throughout the computations. The
Discerete Empirical Interpolation Method (DEIM) is used for the efficient
coupling of the ROM solvers\, while the input parameter space is surveyed
using the Improved Distributed Latin Hypercube Sampling (IHS) algorithm.\
n\nhttps://indico.sissa.it/event/34/contributions/495/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/495/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Practical Session with RBniCS II : worked problems
DTSTART;VALUE=DATE-TIME:20190709T120000Z
DTEND;VALUE=DATE-TIME:20190709T124500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-496@indico.sissa.it
DESCRIPTION:Speakers: Francesco Ballarin et al. (SISSA)\nhttps://indico.si
ssa.it/event/34/contributions/496/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/496/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Model-Order Reduction for 3D Turbulent Mixing T-junction
DTSTART;VALUE=DATE-TIME:20190710T141200Z
DTEND;VALUE=DATE-TIME:20190710T141500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-472@indico.sissa.it
DESCRIPTION:Speakers: Kento Kaneko (University of Illinois at Urbana-Champ
aign)\, Ping-Hsuan Tsai (UIUC)\nWe consider a model-order reduction approa
ch to approximate scalar transport \nand mixing in a T-junction using spec
tral-element-based large-eddy simulation\n(LES) for the full-order model.
One such LES simulation of 100 convective-time\nunits can cost hundreds o
f thousands of core-hours on a supercomputer. For the\nreduced-order mode
l\, we apply Galerkin projection using POD-generated global\nbasis functio
ns to reproduce the quantity of interest\, the concentration\nprofile of t
he passive scalar. For turbulent flows\, the Galerkin formulation\napplied
to a small number of dominant POD modes may not be sufficient to remain\n
in the basin of attraction of the underlying dynamics. The reason that is
\ntypically cited for this behavior is the inability of this combination t
o\nsufficiently dissipate energy since the POD modes lack the small-scale\
nstructures found in such flows. By introducing a stabilization mechanism\
,\nsignificant improvement in accuracy can be achieved. Here\, we describ
e recent\nresults using POD-Galerkin projection with constrained optimizat
ion to ensure\nthat the flow evolves within the dynamical range observed i
n the full-order\nmodel. With this approach\, we address the turbulent fl
ow reproduction problem\,\nwhich is a first step towards parametric model
order reduction for turbulent\nthermal transport.\n\nhttps://indico.sissa.
it/event/34/contributions/472/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/472/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced Basis Method: The Smagorinsky Model
DTSTART;VALUE=DATE-TIME:20190710T143600Z
DTEND;VALUE=DATE-TIME:20190710T143900Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-477@indico.sissa.it
DESCRIPTION:Speakers: Cristina Caravaca García (Universidad de sevilla)\n
We are interested in the design of eco-efficient buildings. This involves
computing models for several parameters which could be geometrical or phys
ical. Sometimes\, each computation could take a long time and this situati
on is not the most desirable. This reason encourages us to consider the ba
sis reduced method that allow us to obtain a faster solution with a little
error.\n\nhttps://indico.sissa.it/event/34/contributions/477/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/477/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduction in parameter space with non linear active subspaces
DTSTART;VALUE=DATE-TIME:20190710T143900Z
DTEND;VALUE=DATE-TIME:20190710T144200Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-492@indico.sissa.it
DESCRIPTION:Speakers: Francesco Romor (SISSA)\nDimension reduction techniq
ues confer benefits to parametric studies in a great number of engineering
applications. Active subspaces proposed by Trent Russi and developed by P
aul Constantine have proven to be a versatile method in this matter for mo
dels with an underneath linear trend. Some efforts are directed to possibl
e non-linear extensions. The turning point may come from machine learning
non-linear supervised dimensionality reduction theory with a focus on supe
rvised kernel principal component analysis and its randomized variant with
Random Fourier Features. As testing ground for these possible improvement
s we present some test cases involving hypersurfaces of revolution with di
fferent generatrices.\n\nhttps://indico.sissa.it/event/34/contributions/49
2/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/492/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Finite volume POD-Galerkin Reduced Order Model of the Boussinesq a
pproximation for buoyancy-driven flow
DTSTART;VALUE=DATE-TIME:20190710T141500Z
DTEND;VALUE=DATE-TIME:20190710T141800Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-471@indico.sissa.it
DESCRIPTION:Speakers: Kelbij Star (SCK·CEN)\nTo model the complex dynamic
s of buoyancy for nuclear thermal-hydraulic studies and other similar indu
strial problems\, a two-way coupling between the momentum equations and th
e energy equation is required. To simplify the problem\, the Boussinesq ap
proximation is often applied by neglecting the effect of local density dif
ferences of the fluid\, induced by temperature\, except for the density va
riation in the gravitational body force term. \nHowever\, to model buoyanc
y-driven flows using a full numerical approach is completely unfeasibly fo
r many applications due to the excessive amount of computational time and
power needed\, especially when a large number of different system configu
rations are to be tested for control purposes\, sensitivity analyses or un
certainty quantification studies.\nTherefore\, a parametric Reduced Order
Model (ROM) of the Boussinesq approximation is developed for which the Ful
l Order Model (FOM) is based on the finite volume approximation. A Proper
Orthogonal Decomposition (POD) approach is used for the construction of a
reduced basis on which a Galerkin projection of the governing equations is
performed to obtain the Reduced Order Model. \nThe ROM is tested on a si
mple configuration that consists of a 2D square enclosed cavity with diffe
rentially heated walls opposite of each other. The wall temperature bound
ary conditions are parametrized using a control function method. For this
configuration\, the control functions are obtained by solving a Laplacian
function for temperature. The ROMs are stable\, except when the temperatur
e difference between the walls is larger than the case for which the full
order solutions\, used for the reduced basis construction\, are obtained.
The accuracy of the reduced order models is assessed against the full orde
r solutions and it is shown that the reduced order model can be used for s
ensitivity analysis by controlling the non-homogeneous Dirichlet boundary
conditions. Finally\, the ROM is about 20 times faster than the FOM on a s
ingle processor.\n\nhttps://indico.sissa.it/event/34/contributions/471/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/471/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced basis methods for parametric bifurcation problems in nonli
near PDEs
DTSTART;VALUE=DATE-TIME:20190710T140900Z
DTEND;VALUE=DATE-TIME:20190710T141200Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-469@indico.sissa.it
DESCRIPTION:Speakers: Federico Pichi (Scuola Internazionale Superiore di S
tudi Avanzati - SISSA)\nThe aim of this work is to show the applicability
of the reduced basis model reduction in non-linear systems undergoing bifu
rcations. Bifurcation analysis\, i.e.\, following the different bifurcatin
g branches\, as well as determining the bifurcation points themselves\, is
a complex computational task [1\, 4]. Reduced Order Models (ROM) can pote
ntially reduce the computational burden by several orders of magnitude.\nM
odels describing bifurcating phenomena arising in several fields with inte
resting applications\, from continuum to quantum mechanics passing through
fluid dynamics.\nWe first focus on non-linear structural mechanics [3]\,
and we show applications of ROM to Von Kármán plate equations and to an
hyperelastic 3D beam.\nThen we consider the incompressible Navier-Stokes e
quations in a channel [1] discretized with the spectral element method\, w
hich undergoes bifurcations with increasing Reynolds.\nFinally\, we show s
ome recent results of the bifurcating phenomena in Bose-Einstein condensat
es (BEC) varying the chemical parameter [2].\nSome of these studies are ca
rried out in collaboration with A.T. Patera at MIT\, A. Quaini at Universi
ty of Houston and F. Ballarin\, M. Hess at SISSA.\n\n**References**\n\n[1]
A. Alla\, M. Gunzburger\, M. W. Hess\, A. Quaini\, and G. Rozza. A locali
zed reduced-order modeling approach for pdes with bifurcating solutions. C
omputer Methods in Applied Mechanics and Engineering\, 351:379 – 403\, 2
019.\n[2] F. Pichi\, A. Quaini\, and G. Rozza. Reduced technique in bifurc
ating phenomena: application to the Gross-Pitaevskii equation. In preparat
ion\, 2019.\n[3] F. Pichi and G. Rozza. Reduced basis approaches for param
etrized bifurcation problems held by nonlinear Von Kármán equations. Sub
mitted\, https://arxiv.org/abs/1804.02014\, 2018.\n[4] G. Pitton\, A. Quai
ni\, and G. Rozza. Computational reduction strategies for the detection of
steady bifurcations in incompressible fluid-dynamics: applications to coa
nda effect in cardiology. Journal of Computational Physics\, 344:534–557
\, 2017.\n\nhttps://indico.sissa.it/event/34/contributions/469/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/469/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced order methods for parametric optimal flow control in patie
nt-specific coronary bypass grafts: geometrical reconstruction\, data assi
milation
DTSTART;VALUE=DATE-TIME:20190710T144800Z
DTEND;VALUE=DATE-TIME:20190710T145100Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-493@indico.sissa.it
DESCRIPTION:Speakers: Zakia Zainib (mathLab\, Mathematics Area\, SISSA Int
ernational School for Advanced Studies\, Trieste\, Italy)\nIn this work\,
we will present implementation of reduced order methods for parametrized p
roblems in computational fluid dynamics\, with a special attention to inve
rse problems\, such as optimal flow control problems and data assimilation
in biomedical sciences.\n\nOur focus will\, specifically\, be on minimizi
ng the misfit between clinical measurements acquired in coronary artery by
pass graft surgery and the related variables recovered through computation
al fluid dynamics. In this framework\, the unknown control provides an opp
ortunity to quantify the boundary conditions in computational hemodynamics
modeling\, specifically for hard-to-quantify outflow conditions. Furtherm
ore\, in this work\, we adjoin the parametrized optimal flow control parad
igm with reduced order methods (ROMs)\, such as proper orthogonal decompos
ition (POD)-Galerkin\, to solve such many-query parameter dependent proble
ms in a time-efficient manner.\n\nhttps://indico.sissa.it/event/34/contrib
utions/493/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/493/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduction of the Kolmogorov $n$-width for a transport dominated fl
uid-structure interaction problem
DTSTART;VALUE=DATE-TIME:20190710T140300Z
DTEND;VALUE=DATE-TIME:20190710T140600Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-478@indico.sissa.it
DESCRIPTION:Speakers: Monica Nonino (SISSA)\nThe aim of the work is to app
ly the reduced basis method to a two dimensional time dependent convection
dominated fluid-structure interaction (FSI) problem. \nOne basic assumpti
on of the reduced basis method is that the solution manifold $\\mathcal{M}
$ of the problem \ncan be well approximated by a sequence of finite dimens
ional spaces: this mathematical assumption translates in the fact that the
Kolmogorov n-width $D_n$ of $\\mathcal{M}$ decays fast.\nFor convection d
ominated problems this is not always the case\, meaning that $D_n$ can dec
ay quite slowly\, and this represents a great challenge for the reduced me
thod.\nWe will show how we tried to overcome this situation\, explaining t
he idea presented in [3]: the main feature of this new reduced method is t
he presence of a preprocessing phase\, which is performed right after the
offline step. Assume that $\\Omega$ is the physical domain of the problem
of interest: the preprocessing phase is based on the definition of a famil
y $\\mathcal{F}$ of smooth and invertible deformation maps of $\\Omega$\,
such that the ``preprocessed'' solution manifold $\\mathcal{M}_{\\mathcal{
F}}$ has a smaller Kolmogorov $n$-width\, where $\\mathcal{M}_{\\mathcal{F
}}$ is the manifold of the solutions on the deformed domain. We will expla
in how to construct this family of mappings\, once we have shown the behav
iour of the solution of the specific problem. \nAfter the POD on the prepr
ocessed solution manifold we obtain a set of preprocessed reduced bases $\
\{\\Phi_i\\}_{i=1}^N$\, with $N$ small. With these preprocessed basis func
tions we then try to construct an approximation of the high order solution
.\nIn our poster we will show the results we obtained so far\, and we will
also discuss some of the difficulties we encountered during this work: th
e attention that is required in handling the coupling conditions between \
nthe fluid equations and the structure equation\, the search for a suitabl
e family of deformation maps\, and also the very important aspect of how t
o interpret the rate of decay of the Kolmogorov $n$-width of the original
solution manifold for this particular problem.\n\n[1] Ballarin F. and Rozz
a G.\, POD-Galerking monolithic reduced order models for parametrized flui
d-structure interaction problems. *IJNMF*: **82**(12):1010--1034\, 2016.\n
[2] Ballarin F.\, Rozza G. and Maday Y.\, Reduced-order semi-implicit sche
mes for fluid-structure interaction problems. *MSA* vol.17: 149-167\, Spri
nger International Publishing\, 2017.\n[3] Cagniart N.\, Maday Y. and Stam
m B.\, Model order reduction for problems with large convection effects\,
2016.\n\nhttps://indico.sissa.it/event/34/contributions/478/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/478/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Enriched Galerkin Discretization for Mixed-Dimensional Modelling F
low in Fractured Porous Media
DTSTART;VALUE=DATE-TIME:20190710T144500Z
DTEND;VALUE=DATE-TIME:20190710T144800Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-494@indico.sissa.it
DESCRIPTION:Speakers: Teeratorn Kadeethum ()\nThis paper presents the enri
ched Galerkin discretization for modelling fluid flow in fractured porous
media using the mixed-dimensional approach. The block structure used to co
mpose this mixed-dimensional problem is presented. The proposed method has
been tested against published benchmarks. Moreover\, the heterogeneous ma
trix permeability setting is utilized to assess the enriched Galerkin perf
ormance in handling the discontinuity within the matrix domain and between
the matrix and fracture domains. Our results illustrate that the enriched
Galerkin method has the same advantages as discontinuous Galerkin method\
; for example\, conserves local and global fluid mass\, captures the press
ure discontinuity\, and provides the optimal error convergence rate. Howev
er\, the enriched Galerkin method requires much fewer degrees of freedom t
han the discontinuous Galerkin method. The pressure solutions produced by
both methods are approximately similar regardless of the conductive or non
-conductive fractures or heterogeneity in bulk matrix permeability input.\
n\nhttps://indico.sissa.it/event/34/contributions/494/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/494/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Using Lagrangian models in the simulation of water borne infectiou
s diseases
DTSTART;VALUE=DATE-TIME:20190710T142100Z
DTEND;VALUE=DATE-TIME:20190710T142400Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-499@indico.sissa.it
DESCRIPTION:Speakers: Meghan Kennealy (Stellenbosch University)\nFish farm
ing is increasingly important as the demand on food supplies grows with th
e world’s population. Limiting the spread of disease within such farms i
s vital\, as the detection of such diseases calls for immediate eradicatio
n of the infected farm. Optimal farm placement from the prediction of dise
ase spread could potentially limit the spread of infections within these f
arms. Previous attempts at the prediction of disease spread between farms
have not considered significant components of the problem. This study comb
ines a population model with a Lagrangian particle tracking model\, to sim
ulate the spread of disease particles as they are generated. The model als
o considers the influence of the cages on the velocity field\, which has b
een neglected by previous studies. An in-house developed code is used to m
odel the spread of the disease. This code incorporated flow fields generat
ed by OPENFoam\, taking into consideration the effect of porous fish farms
. The main aim of the study is to couple the disease model to data generat
ed by Delft3D-FLOW.\n\nhttps://indico.sissa.it/event/34/contributions/499/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/499/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Non-intrusive reduced order models for the shallow water equations
DTSTART;VALUE=DATE-TIME:20190710T140000Z
DTEND;VALUE=DATE-TIME:20190710T140300Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-473@indico.sissa.it
DESCRIPTION:Speakers: Sourav Dutta (US Army Engineer Research and Developm
ent Center)\nProper Orthogonal Decomposition (POD)-based model order reduc
tion techniques are a popular choice for multi-query and fast replay appli
cations in CFD\, which often require sophisticated extensions for efficien
t treatment of nonlinearities. Non-intrusive methods which treat the high
fidelity model as an external black-box offer a desirable alternative. \nW
e present a non-intrusive approach which replaces the projected reduced mo
del with a multidimensional radial basis function (RBF) interpolant. We ev
aluate several greedy strategies for the selection of optimal quadrature p
oints that can effectively capture the temporal dynamics.\n \nWe compar
e the performance of classical kernel-based non-intrusive techniques and t
emporally optimized quadrature points for shallow water flow applications
across a range of fluid regimes like riverine flows\, flow in estuaries as
well as large-scale geophysical flows. The accuracy\, computational expen
se\, and robustness of the RBF non-intrusive method are also evaluated in
comparison to a traditional nonlinear POD strategy.\n\nhttps://indico.siss
a.it/event/34/contributions/473/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/473/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced Order Methods Applied to Nonlinear Time Dependent Optimal
Flow Control Problems in Environmental Marine Sciences and Engineering
DTSTART;VALUE=DATE-TIME:20190710T144200Z
DTEND;VALUE=DATE-TIME:20190710T144500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-475@indico.sissa.it
DESCRIPTION:Speakers: Maria Strazzullo (SISSA\, mathlab)\nOptimal flow con
trol problems governed by parametrized partial differential equations are
a very powerful mathematical model. They are suitable to describe several
complex physical phenomena and they are quite spread in different applica
tions. Although\, the computational effort increases when one has to deal
with nonlinear and/or time dependent governing equations [3\,4\,5].\nWe pr
opose reduced order methods as an effective strategy to solve them in a fa
st and accurate way.\nWe applied our methodology in environmental marine s
ciences and engineering where parametrized optimal flow control is really
useful to describe different parametric configurations which reliably repr
oduce physical phenomena. Since these adaptive simulations are very demand
ing and costly.\nWe exploit a POD-Galerkin reduction of the optimality sys
tem both for the linear and for the nonlinear case in order to save comput
ational time. Two environmental applications are presented [3]: a pollutan
t control in the Gulf of Trieste\, Italy and a solution tracking governed
by nonlinear quasi-geostrophic equations describing nonlinear North Atlant
ic Ocean dynamic. Finally\, we propose a parametrized reduced version of t
ime dependent optimal control problems presented in [1\,2]: we will show h
ow reduce order methods are advantageous to this more complex context [4].
\n\n[1] M. Stoll and A. J. Wathen\, "All-at-once solution of time-depend
ent PDE-constrained optimization problems"\, Technical Report\, 2010.\n[2]
M. Stoll and A. J. Wathen\, "All-at-once solution of time-dependent Stoke
s control"\, *J. Comput. Phys.*\, **232(1)**\, pp. 498 - 515\, 2013.\n[3]
M. Strazzullo\, F. Ballarin\, R. Mosetti\, and G. Rozza\, “Model\nReduc
tion for Parametrized Optimal Control Problems in Environmental\nMarine Sc
iences and Engineering”\, *SIAM Journal on Scientific\nComputing*\, **40
(4)**\, pp. B1055-B1079\, 2018\n[4] M. Strazzullo\, F. Ballarin\, and G.
Rozza\, "POD-Galerkin based Model Order Reduction for Parametrized Time De
pendent Linear Quadratic Optimal Control Problems”. *In preparation*\,\n
[5] Z. Zainib\, M. Strazzullo\, F. Ballarin and G. Rozza\, "Reduced order
methods for parametrized nonlinear and time dependent optimal flow control
problems: applications in biomedical and environmental marine sciences".
*In preparation*.\n\nhttps://indico.sissa.it/event/34/contributions/475/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/475/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Multi-scale numerical modeling of sorption kinetics
DTSTART;VALUE=DATE-TIME:20190710T140600Z
DTEND;VALUE=DATE-TIME:20190710T140900Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-476@indico.sissa.it
DESCRIPTION:Speakers: Clarissa Astuto (University of Catania)\nThe trappin
g of diffusing particles by either a single or a distribution of moving tr
aps is an interesting topic that has been employed to model a variety of d
ifferent real problems in chemistry\, physics and biology. Here we study t
he dynamics of diffusing particles in a domain with an oscillating bubble.
Laboratory experiments provide evidence of a non monotone behavior in tim
e of the concentration of particles by a detector located behind the bubbl
e\, under suitable experimental condition. A comprehensive explanation of
the phenomenon is not yet fully available. \nThe particles are attracted a
nd trapped near the surface of the bubble. The basic mathematical model is
a drift-diffusion model\, where the particles diffuse and feel the potent
ial of the bubble when they are near its surface. The numerical simulation
of the system presents two multi-scale challenges. One is spatial: the ra
nge of the bubble potential is confined within a few microns at the bubble
surface\, while the bubble radius is of the order of a millimeter\, so a
fully resolved solution would be too expensive. The second challenge is on
the time scale: the bubble oscillates with a frequency of the order of 10
0 Hz\, while the diffusion time scale is of the order of 103 seconds\, thi
s requiring at least 106 time steps to fully resolve the problem in time.
\nA reduced model is derived to solve the multi-scale problem it space: th
e interaction with the bubble is modeled as a very thin layer\, with a par
ticle surface density proportional to the local density in the bulk\, near
the bubble. In the rest of the domain the particle density satisfies just
a diffusion equation\, with suitable boundary conditions on the bubble\,
deduced from conservation properties.\nThe model is carefully tested on p
roblems in 1D\, 2D planar and 3D axis-symmetric geometry. The equation is
discretized on a regular Cartesian mesh\, using a ghost-point approach\, a
nd solved by Crank-Nicolson scheme. The implicit step is efficiently solve
d by a suitably adapted multi-grid method. \nThe amplitude of the bubble o
scillations is small compared to the bubble radius. We take advantage of t
his fact by replacing the time dependent position by imposing a suitable t
ime dependent velocity at the bubble surface. Because of the low Reynolds
number\, the velocity distribution is computed by Stokes approximation. \n
The multi-scale challenge in time is still under investigation.\n\nhttps:/
/indico.sissa.it/event/34/contributions/476/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/476/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The polluted atmosphere as a shallow domain
DTSTART;VALUE=DATE-TIME:20190710T143000Z
DTEND;VALUE=DATE-TIME:20190710T143300Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-479@indico.sissa.it
DESCRIPTION:Speakers: Nora Juhasz (University of L'Aquila)\nConsidered as
a geophysical fluid\, the polluted atmosphere shares the shallow domain ch
aracteristics with other natural large-scale fluids such as seas and ocean
s. This means that its domain is excessively greater horizontally than in
the vertical dimension\, leading to the classic hydrostatic approximation
of the Navier-Stokes equations. We consider the so-called anisotropic mode
l as a starting point\, i.e. a set of equations that describe the atmosphe
re including the effects of pollution\, where the fluid velocity function
governed by the classical Navier-Stokes equations is combined with a conce
ntration function representing the pollution. We provide a convergence th
eorem for the weak solutions of the anisotropic model towards the hydrosta
tic system. Our results are valid on local domains where the use of Cartes
ian coordinates are legitimate and effects such as the curvature of the Ea
rth are negligible. The shallow domain concept of the atmosphere is graspe
d by the small variable $\\epsilon$ which stands for the aspect ratio\, i.
e. the ratio of the characteristic depth and characteristic width. We expl
icitly involve this aspect ratio in the coordinates and variables that des
cribe the phenomena\, then perform a rescaling process according to the "a
lmost two-dimensional" concept we use that makes the domain independent of
$\\epsilon$. The main two models between which we describe the convergenc
e result are the original anisotropic model and the hydrostatic limit mode
l. In the first one we use the Navier-Stokes equations in all three space
dimensions to describe the fluid velocity\, while in the latter model we a
rrive to a simpler equation in the vertical dimension\, namely we see the
hydrostatic approximation incorporated into the model. The main steps of t
he proof for the convergence result between the two models are *a)* using
the classical method of extracting a priori bounds from the energy inequal
ity\, *b)* passing to the limit in the linear terms\, and\, finally\, *c)*
using a compactness result that allows us to pass to the limit in the non
linear terms that require stronger regularities. The visualisation of this
convergence result using the finite element method is challenging as a re
sult of the disappearing control over the vertical velocity: the matrix of
the anisotropic system becomes more and more badly conditioned as the wei
ght of the vertical velocity is decreasing with $\\epsilon$ from the verti
cal momentum equation.\n\n**Joint work with:** D. Donatelli\, University o
f L'Aquila\n\nhttps://indico.sissa.it/event/34/contributions/479/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/479/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Software Installation Support (confirmed with appointment)
DTSTART;VALUE=DATE-TIME:20190708T083000Z
DTEND;VALUE=DATE-TIME:20190708T104500Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-500@indico.sissa.it
DESCRIPTION:https://indico.sissa.it/event/34/contributions/500/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/500/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Opening
DTSTART;VALUE=DATE-TIME:20190708T114500Z
DTEND;VALUE=DATE-TIME:20190708T120000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-501@indico.sissa.it
DESCRIPTION:https://indico.sissa.it/event/34/contributions/501/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/501/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Weighted Reduced Order approaches for Uncertainty Quantification
DTSTART;VALUE=DATE-TIME:20190710T124500Z
DTEND;VALUE=DATE-TIME:20190710T133000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-238@indico.sissa.it
DESCRIPTION:Speakers: Gianluigi Rozza (Full professor)\nhttps://indico.sis
sa.it/event/34/contributions/238/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/238/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conclusion
DTSTART;VALUE=DATE-TIME:20190712T111500Z
DTEND;VALUE=DATE-TIME:20190712T113000Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-502@indico.sissa.it
DESCRIPTION:https://indico.sissa.it/event/34/contributions/502/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/502/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reduced Order Methods for Boundary Conditions Estimation
DTSTART;VALUE=DATE-TIME:20190710T143300Z
DTEND;VALUE=DATE-TIME:20190710T143600Z
DTSTAMP;VALUE=DATE-TIME:20210308T215529Z
UID:indico-contribution-34-503@indico.sissa.it
DESCRIPTION:Speakers: Umberto Morelli (ITMATI)\nIn continuous casting mach
inery\, the molten metal solidifies in a mold. In order to control the cas
ting process\, a proper knowledge of the heat flux between the mold and th
e metal is crucial. This boundary condition can be estimated using thermoc
ouples measurements inside the mold and solving an inverse problem. In thi
s research we exploit model order reduction techniques to achieve an onlin
e solution of this problem.\n\nhttps://indico.sissa.it/event/34/contributi
ons/503/
LOCATION:SISSA\, International School for Advanced Studies\, Main Campus\,
Trieste\, Italy
URL:https://indico.sissa.it/event/34/contributions/503/
END:VEVENT
END:VCALENDAR