Open AccessNUMERICAL SIMULATION OF LID-DRIVEN CAVITY FLOW BY ISOGEOMETRIC ANALYSIS
Author(s) -
Bohumír Bastl,
Marek Brandner,
Jiří Egermaier,
Hana Horníková,
Kristýna Michálková,
Eva Turnerová
Publication year - 2021
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/ap.2021.61.0033
Subject(s) - solver , discretization , compressibility , isogeometric analysis , finite element method , incompressible flow , flow (mathematics) , mathematics , pressure correction method , stokes flow , mechanics , computer science , mathematical analysis , mathematical optimization , physics , geometry , thermodynamics
In this paper, we present numerical results obtained by an in-house incompressible fluid flow solver based on isogeometric analysis (IgA) for the standard benchmark problem for incompressible fluid flow simulation – lid-driven cavity flow. The steady Navier-Stokes equations are solved in their velocity-pressure formulation and we consider only inf-sup stable pairs of B-spline discretization spaces. The main aim of the paper is to compare the results from our IgA-based flow solver with the results obtained by a standard package based on finite element method with respect to degrees of freedom and stability of the solution. Further, the effectiveness of the recently introduced rIgA method for the steady Navier-Stokes equations is studied.The authors dedicate the paper to Professor K. Kozel on the occasion of his 80th birthday.