Chapter 12: Numerical treatment of compressible turbulent flows
Krishnan Mahesh Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI, United States
Abstract
DNS/LES of compressible turbulent flows is challenged by the nonlinear numerical instabilities that arise at high Reynolds number, the existence of supersonic and highly subsonic regions, and unsteady shock waves. This chapter discusses solutions to these challenges from the author's perspective to simulate complex flows with fidelity comparable to that of canonical flows. A numerical algorithm for compressible turbulence is discussed in which the discrete equations reduce to the incompressible equations at low Mach numbers, and the discretization ...
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