MODERN FINITE VOLUME METHODS SOLVING INTERNAL FLOW PROBLEMS

The paper deals with explicit and implicit finite difference and mainly finite volume schemes that have been commonly used in last years for compressible and incompressible fluid flow problems. Mainly we mention schemes used for transonic flow computation (inviscid as well as viscous models) in int...

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Main Authors: KAREL KOZEL, JAROSLAV FORT
Format: Article
Language:English
Published: Gdańsk University of Technology 2002-01-01
Series:TASK Quarterly
Subjects:
Online Access:https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2265
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author KAREL KOZEL
JAROSLAV FORT
author_facet KAREL KOZEL
JAROSLAV FORT
author_sort KAREL KOZEL
collection DOAJ
description The paper deals with explicit and implicit finite difference and mainly finite volume schemes that have been commonly used in last years for compressible and incompressible fluid flow problems. Mainly we mention schemes used for transonic flow computation (inviscid as well as viscous models) in internal and also external aerodynamics. We prefer modern schemes like RK multistage schemes, TVD and ENO schemes, implicit schemes or higher order schemes. Some results of numerical computation or numerical simulation are presented in the second part of the paper, including 2D and 3D transonic flow through a channel and a cascade (mainly of turbine type), 2D and 3D backward facing step flow (laminar and turbulent), 2D and 3D impinging jet flow (comparisons of some turbulent models). The last two cases have been computed only for incompressible viscous flows. Some tests for the efficiency of higher order scheme (4th–6th order) are presented for the backward facing step problem. In many examples we also present a comparison of numerical and experimental results.
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spelling doaj.art-23917e2f11d44c4c9485ae41aadab28c2022-12-22T00:14:20ZengGdańsk University of TechnologyTASK Quarterly1428-63942002-01-0161MODERN FINITE VOLUME METHODS SOLVING INTERNAL FLOW PROBLEMSKAREL KOZEL0JAROSLAV FORT1CTU Prague, Department of Technical MathematicsCTU Prague, Department of Technical Mathematics The paper deals with explicit and implicit finite difference and mainly finite volume schemes that have been commonly used in last years for compressible and incompressible fluid flow problems. Mainly we mention schemes used for transonic flow computation (inviscid as well as viscous models) in internal and also external aerodynamics. We prefer modern schemes like RK multistage schemes, TVD and ENO schemes, implicit schemes or higher order schemes. Some results of numerical computation or numerical simulation are presented in the second part of the paper, including 2D and 3D transonic flow through a channel and a cascade (mainly of turbine type), 2D and 3D backward facing step flow (laminar and turbulent), 2D and 3D impinging jet flow (comparisons of some turbulent models). The last two cases have been computed only for incompressible viscous flows. Some tests for the efficiency of higher order scheme (4th–6th order) are presented for the backward facing step problem. In many examples we also present a comparison of numerical and experimental results. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2265finite volumesmodern numerical schemesinternal aerodynamics
spellingShingle KAREL KOZEL
JAROSLAV FORT
MODERN FINITE VOLUME METHODS SOLVING INTERNAL FLOW PROBLEMS
TASK Quarterly
finite volumes
modern numerical schemes
internal aerodynamics
title MODERN FINITE VOLUME METHODS SOLVING INTERNAL FLOW PROBLEMS
title_full MODERN FINITE VOLUME METHODS SOLVING INTERNAL FLOW PROBLEMS
title_fullStr MODERN FINITE VOLUME METHODS SOLVING INTERNAL FLOW PROBLEMS
title_full_unstemmed MODERN FINITE VOLUME METHODS SOLVING INTERNAL FLOW PROBLEMS
title_short MODERN FINITE VOLUME METHODS SOLVING INTERNAL FLOW PROBLEMS
title_sort modern finite volume methods solving internal flow problems
topic finite volumes
modern numerical schemes
internal aerodynamics
url https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2265
work_keys_str_mv AT karelkozel modernfinitevolumemethodssolvinginternalflowproblems
AT jaroslavfort modernfinitevolumemethodssolvinginternalflowproblems