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A simple hybrid finite volume solver for compressible turbulence
Author(s) -
Chakravarthy V. Kalyana,
Arora K.,
Chakraborty D.
Publication year - 2015
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4000
Subject(s) - finite volume method , turbulence , solver , supersonic speed , compressible flow , dissipative system , discontinuity (linguistics) , mechanics , classification of discontinuities , physics , compressibility , control volume , mathematics , advection , upwind scheme , shock (circulatory) , mathematical analysis , mathematical optimization , medicine , quantum mechanics , discretization , thermodynamics
Summary A simple, explicit, hybrid finite volume method for simulating compressible turbulence is developed by combining a fourth‐order central scheme and a shock‐capturing simple low‐dissipation advection upstream splitting method. The total flux on each of the cell faces is computed as a weighted average of central/nondissipative and upwind/dissipative fluxes. The weights are determined using an unphysical oscillation sensor in addition to a more traditional discontinuity sensor used in earlier studies. Shocks are well captured, but overshoots in density are predicted around contact discontinuities that are normal to the flow. The use of the latter sensor effectively prevents these overshoots from generating spurious oscillations that travel away from the contact lines. The efficacy of the proposed method for direct or large‐eddy simulations of supersonic turbulence is established using several canonical test problems. Copyright © 2015 John Wiley & Sons, Ltd.