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High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing
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Year:    2015

Author:    Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen

Communications in Computational Physics, Vol. 17 (2015), Iss. 2 : pp. 317–336

Abstract

In this paper, we extend the high order finite-difference method with subcell resolution (SR) in [34] for two-species stiff one-reaction models to multispecies and multireaction inviscid chemical reactive flows, which are significantly more difficult because of the multiple scales generated by different reactions. For reaction problems, when the reaction time scale is very small, the reaction zone scale is also small and the governing equations become very stiff. Wrong propagation speed of discontinuity may occur due to the underresolved numerical solution in both space and time. The present SR method for reactive Euler system is a fractional step method. In the convection step, any high order shock-capturing method can be used. In the reaction step, an ODE solver is applied but with certain computed flow variables in the shock region modified by the Harten subcell resolution idea. Several numerical examples of multispecies and multireaction reactive flows are performed in both one and two dimensions. Studies demonstrate that the SR method can capture the correct propagation speed of discontinuities in very coarse meshes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.250214.130814a

Communications in Computational Physics, Vol. 17 (2015), Iss. 2 : pp. 317–336

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:   

Author Details

Wei Wang

Chi-Wang Shu

H. C. Yee

Dmitry V. Kotov

Björn Sjögreen

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