Finite-volume upwind schemes for inviscid gas dynamics 13; 13;

Ravichandran, KS (1994) Finite-volume upwind schemes for inviscid gas dynamics 13; 13;. In: CFD: Advances and Applications, 1994, India.

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In the present notes we shall describe in detail a finite-volume formulation of Osher's upwind scheme for 2-D flow governed by the unsteady compressible Euler equations. The material to be presented has the added advantage of almost being in an algorithm i.e form so that coding of the same for test problems is relatively straightforward. The justification for our choice of Osher scheme for presentation in these lectures is (1) unlike schemes based on linearized approximate Riemann solvers, such as that of Roe, Osher scheme is known to be entropy consistent and not susceptible to some of the defects mentioned above (2) an unified approach to the interior scheme and boundary scheme is possible, and (3) the resulting algorithm therefore is expected to be more robust than other comparable upwind schemes.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Euler equations of motion;Finite volume method;Gas dynamics; Hyperbolic Functions;Inviscid flow;Unsteady flow;Boundary conditions;Entropy
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Depositing User: Mrs Manoranjitha M D
Date Deposited: 12 Oct 2006
Last Modified: 24 May 2010 04:21

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