Higher entropy conservation and numerical stability of compressible turbulence simulations

By A. Honein, Parviz Moin. 2004

243 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/eaabf4b4e6e8a2848f401f68be4d74e12adbbafc

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Citations in the corpus

Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations (2012, methodology): “Schemes which satisfy entropy condition are found to lead to stable density fluctuations in compressible isotropic turbulence simulations, while schemes which do not have this property can be unstable with respect to density fluctuations [8, 18].”
A posteriori study using a DNS database describing fluid disintegration and binary-species mixing under supercritical pressure: heptane and nitrogen (2010, methodology): “…only is this information of scientific interest, as the dissipation has special characteristics uniquely related to the flow (Okong’o & Bellan 2002b, 2004a), but this information also has practical applications in that numerical methods have been based on entropy conservation (Honein & Moin 2004).”
Numerical Methods for High-Speed Flows (2011, methodology): “In the former case, the ‘exact’ solution, computed by means of a dealiased spectral method (Honein & Moin, 2004), has nearly constant total kinetic energy (K = ∫ ρu2 dV ), constant total entropy (S = ∫ ρsdV ), and the r.m.s. density levels off to ρ′/ρ0/Mt 2 0 ≈ 0.35, after an initial transient.”
A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows (2009, methodology): “A discussion on the use of skew-symmetric forms for incompressible flows, and relevant references, can be found in the review paper by Moin and Mahesh [15].”
Generalized conservative approximations of split convective derivative operators (2010, methodology): “The low Mach number test case is identical to that considered by Honein and Moin [16], who showed that the ‘exact’ solution (computed by means of a de-aliased spectral method), has nearly constant total kinetic energy ðT 1⁄4 R qu2 dVÞ, and the r.”
Large-eddy simulation and multiscale modelling of a Richtmyer–Meshkov instability with reshock (2006, unknown): “…form is used for the convective terms in the momentum, scalar and energy equation (cast in the internal energy variance conserving form suggested by Honein & Moin 2004), that reads ∂(ρũiũj ) ∂xj → 1 2 ∂(ρũiũj ) ∂xj + ρũj 2 ∂(ũi) ∂xj + ũi 2 ∂(ρũj ) ∂xj , (4.6a) ∂(ρψ̃ũj ) ∂xj → 1 2 ∂(ρψ̃ũj…”