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Title: Numerical solution of inviscid and viscous flows using modern schemes and quadrilateral or triangular mesh (English)
Author: Fürst, J.
Author: Kozel, K.
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 126
Issue: 2
Year: 2001
Pages: 379-393
Summary lang: English
Category: math
Summary: This contribution deals with the modern finite volume schemes solving the Euler and Navier-Stokes equations for transonic flow problems. We will mention the TVD theory for first order schemes and some numerical examples obtained by 2D central and upwind schemes for 2D transonic flows in the GAMM channel or through the SE 1050 turbine of Škoda Plzeň. The TVD MacCormack method is extended to a 3D method for solving flows through turbine cascades. Numerical examples of unsteady transonic viscous (laminar) flows through the DCA 8% cascade are also presented for $\text{Re}=4600$. Next, a new finite volume implicit scheme is presented for the case of unstructured meshes (with both triangular and quadrilateral cells) and inviscid compressible flows through the GAMM channel as well as the SE 1050 turbine cascade. (English)
Keyword: transonic flow
Keyword: Euler equations
Keyword: Navier-Stokes equations
Keyword: numerical solution
Keyword: TVD
Keyword: ENO
Keyword: finite volume schemes
MSC: 65C20
MSC: 65M06
MSC: 65N30
MSC: 76H05
MSC: 76M12
idZBL: Zbl 1064.76070
idMR: MR1844276
DOI: 10.21136/MB.2001.134010
Date available: 2009-09-24T21:51:42Z
Last updated: 2020-07-29
Stable URL:
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