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A pressure‐correction algorithm with Mach‐uniform efficiency and accuracy
Author(s) -
Nerinckx Krista,
Vierendeels J.,
Dick E.
Publication year - 2005
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.920
Subject(s) - mach number , adiabatic process , discretization , mathematics , context (archaeology) , thermal conduction , adiabatic wall , mach wave , computational fluid dynamics , mechanics , mathematical analysis , mathematical optimization , physics , thermodynamics , paleontology , biology
We present a collocated Mach‐uniform pressure‐correction method. By using a low Mach adapted AUSM+ flux for the spatial discretization, we reach Mach‐uniform accuracy. Mach‐uniform efficiency is obtained by a pressure‐correction equation based on the energy equation. Furthermore, we take heat conduction into account, which as far as we know, has never been done before in the context of Mach‐uniform pressure‐correction methods. An explicit treatment of the conduction terms results in a diffusive limit on the time step. To avoid this, a coupled solution of the energy equation and the continuity equation is needed. The results for both the adiabatic and the non‐adiabatic algorithms are in full accordance with the developed theory. Copyright © 2005 John Wiley & Sons, Ltd.