ILES of shock waves and turbulent mixing using high-resolution Riemann solvers and TVD methods

ILES of shock waves and turbulent mixing using high-resolution Riemann solvers and TVD methods

Thornber, B.
Drikakis, D.

2006-09-07

This paper derives the implicit model for high-resolution MUSCL reconstruction-based upwind Godunov schemes for turbulent flows. A Mach number expansion of the numerical scheme allows analysis of the theoretical behaviour of the implicit subgrid model as the Mach number becomes small. This shows that different limiting methods within the same reconstruction technique have significantly different behaviour at low Mach numbers. For some methods the dissipation due to the Riemann solver dominates at low Mach, whereas for others the dominant terms are due to the averaging of the two limited quantities. Additionally it is shown that there are several terms which are identical in the implicit subgrid model as in the leading order of the Taylor series expansion of the large eddy simulations (LES) equations. Finally, results gained for three-dimensional shock-induced turbulent mixing of two different gases using the van Leer limiter is compared to the experimental results of Holder and Barton (IWPCTM 9, 2004).

LES
implicit
shock
turbulent mixing
MUSCL
theoretical analysis

http://resolver.tudelft.nl/uuid:21fc2689-91db-4d8c-9953-2a1153395694

Conference proceedings

conference paper

(c) 2006 Thornber, B.; Drikakis, D.