期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 228, 期 5, 页码 1347-1364出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2008.10.026
关键词
Compressible flow; Direct numerical simulation; Large-eddy simulation; Non-dissipative; Kinetic energy; Implicit time integration; Fully discrete
资金
- Air Force Office of Scientific Research (AFOSR) [FA9550-0401-0341]
- NASA Fundamental Aeronautics Program
A robust, implicit, low-dissipation method suitable for LES/DNS of compressible turbulent flows is discussed. The scheme is designed such that the discrete flux of kinetic energy and its rate of change are consistent with those predicted by the momentum and continuity equations. The resulting spatial fluxes are similar to those derived using the so-called skew-symmetric formulation of the convective terms. Enforcing consistency for the time derivative results in a novel density weighted Crank-Nicolson type scheme. The method is stable without the addition of any explicit dissipation terms at very high Reynolds numbers for flows without shocks. Shock capturing is achieved by switching on a dissipative flux term which tends to zero in smooth regions of the flow. Numerical examples include a one-dimensional shock tube problem, the Taylor-Green problem, simulations of isotropic turbulence, hypersonic flow over a double-cone geometry, and compressible turbulent channel flow. (c) 2008 Elsevier Inc. All rights reserved.
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