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Numerical methods of higher order of accuracy for incompressible flows
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SYSNO ASEP 0343632 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Numerical methods of higher order of accuracy for incompressible flows Author(s) Kozel, K. (CZ)
Louda, Petr (UT-L) RID, ORCID
Příhoda, Jaromír (UT-L) RID, ORCIDNumber of authors 3 Source Title Mathematics and Computers in Simulation. - : Elsevier - ISSN 0378-4754
Roč. 80, č. 8 (2010), s. 1734-1745Number of pages 12 s. Language eng - English Country GB - United Kingdom Keywords higher order methods ; upwind methods ; backward-facing step Subject RIV BK - Fluid Dynamics CEZ AV0Z20760514 - UT-L (2005-2011) UT WOS 000278820500017 DOI 10.1016/j.matcom.2009.06.032 Annotation The work deals with numerical solution of the Navier-Stokes equations for incompressible fluid using finite volume and finite difference methods. The first method is based on artificial compressibility where continuity equation is changed by adding pressure time derivative. The second method is based on solving momentum equations and the Poisson equation for pressure instead of continuity equation. The numerical solution using both methods is compared for backward facing step flows. The equations are discretized on orthogonal grids with second, fourth and sixth orders of accuracy as well as third order accurate upwind approximation for convective terms. Not only laminar but also turbulent flows solved by two-equation turbulence models are presented. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2011
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