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AUSM-Based High-Order Solution for Euler Equations

Published online by Cambridge University Press:  20 August 2015

Angelo L. Scandaliato  and
Meng-Sing Liou
Angelo L. Scandaliato*
Affiliation:
Ohio Aerospace Institute, Cleveland, OH, 44142, USA
Meng-Sing Liou*
Affiliation:
NASA Glenn Research Center, Cleveland, OH, 44135, USA
*
Email:ascandal@ucsd.edu
Corresponding author.Email:meng-sing.liou@nasa.gov
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Abstract

In this paper we demonstrate the accuracy and robustness of combining the advection upwind splitting method (AUSM), specifically AUSM+-UP, with high-order upwind-biased interpolation procedures, the weighted essentially non-oscillatory (WENO-JS) scheme and its variations, and the monotonicity preserving (MP) scheme, for solving the Euler equations. MP is found to be more effective than the three WENO variations studied. AUSM+-UP is also shown to be free of the so-called “carbuncle” phenomenon with the high-order interpolation. The characteristic variables are preferred for interpolation after comparing the results using primitive and conservative variables, even though they require additional matrix-vector operations. Results using the Roe flux with an entropy fix and the Lax-Friedrichs approximate Riemann solvers are also included for comparison. In addition, four reflective boundary condition implementations are compared for their effects on residual convergence and solution accuracy. Finally, a measure for quantifying the efficiency of obtaining high order solutions is proposed; the measure reveals that a maximum return is reached after which no improvement in accuracy is possible for a given grid size.

Keywords

6576Shock capturingadvection upwind splittingEuler equationsweighted essentially non-oscillatorymonotonicity preserving
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 4 , October 2012 , pp. 1096 - 1120
Copyright
Copyright © Global Science Press Limited 2012

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