Isogeometric analysis for fluid flow problems

Bastl, Bohumír; Brandner, Marek; Egermaier, Jiří; Michálková, Kristýna; Turnerová, Eva

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 23-31

Abstract

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The article is devoted to the simulation of viscous incompressible fluid flow based on solving the Navier-Stokes equations. As a numerical model we chose isogeometrical approach. Primary goal of using isogemetric analysis is to be always geometrically exact, independently of the discretization, and to avoid a time-consuming generation of meshes of computational domains. For higher Reynolds numbers, we use stabilization techniques SUPG and PSPG. All methods mentioned in the paper are demonstrated on a standard test example -- flow in a lid-driven cavity.

How to cite

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Bastl, Bohumír, et al. "Isogeometric analysis for fluid flow problems." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 23-31. <http://eudml.org/doc/269909>.

@inProceedings{Bastl2015,
abstract = {The article is devoted to the simulation of viscous incompressible fluid flow based on solving the Navier-Stokes equations. As a numerical model we chose isogeometrical approach. Primary goal of using isogemetric analysis is to be always geometrically exact, independently of the discretization, and to avoid a time-consuming generation of meshes of computational domains. For higher Reynolds numbers, we use stabilization techniques SUPG and PSPG. All methods mentioned in the paper are demonstrated on a standard test example -- flow in a lid-driven cavity.},
author = {Bastl, Bohumír, Brandner, Marek, Egermaier, Jiří, Michálková, Kristýna, Turnerová, Eva},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {isogeometric analysis; Navier-Stokes equations; lid driven cavity},
location = {Prague},
pages = {23-31},
publisher = {Institute of Mathematics AS CR},
title = {Isogeometric analysis for fluid flow problems},
url = {http://eudml.org/doc/269909},
year = {2015},
}

TY - CLSWK
AU - Bastl, Bohumír
AU - Brandner, Marek
AU - Egermaier, Jiří
AU - Michálková, Kristýna
AU - Turnerová, Eva
TI - Isogeometric analysis for fluid flow problems
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 23
EP - 31
AB - The article is devoted to the simulation of viscous incompressible fluid flow based on solving the Navier-Stokes equations. As a numerical model we chose isogeometrical approach. Primary goal of using isogemetric analysis is to be always geometrically exact, independently of the discretization, and to avoid a time-consuming generation of meshes of computational domains. For higher Reynolds numbers, we use stabilization techniques SUPG and PSPG. All methods mentioned in the paper are demonstrated on a standard test example -- flow in a lid-driven cavity.
KW - isogeometric analysis; Navier-Stokes equations; lid driven cavity
UR - http://eudml.org/doc/269909
ER -

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