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Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

Published online by Cambridge University Press:  20 August 2015

Ravi Kannan  and
Zhijian Wang
Ravi Kannan*
Affiliation:
CFD Research Corporation, 215 Wynn Drive, Huntsville, AL 35805, USA
Zhijian Wang*
Affiliation:
Iowa State University, Howe Hall, Ames, IA 50011, USA
*
Corresponding author.Email:sunshekar@gmail.com
Email:zjw@iastate.edu
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Abstract

The concept of diffusion regulation (DR) was originally proposed by Jaisankar for traditional second order finite volume Euler solvers. This was used to decrease the inherent dissipation associated with using approximate Riemann solvers. In this paper, the above concept is extended to the high order spectral volume (SV) method. The DR formulation was used in conjunction with the Rusanov flux to handle the inviscid flux terms. Numerical experiments were conducted to compare and contrast the original and the DR formulations. These experiments demonstrated (i) retention of high order accuracy for the new formulation, (ii) higher fidelity of the DR formulation, when compared to the original scheme for all orders and (iii) straightforward extension to Navier Stokes equations, since the DR does not interfere with the discretization of the viscous fluxes. In general, the 2D numerical results are very promising and indicate that the approach has a great potential for 3D flow problems.

Keywords

65Diffusion regulationspectral volumehigh-orderRusanov fluxNavier Stokes equations
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 1 , July 2012 , pp. 247 - 260
Copyright
Copyright © Global Science Press Limited 2012

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