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A parallel adaptive projection method for low Mach number flows
Author(s) -
Bell J. B.,
Day M. S.,
Almgren A. S.,
Lijewski M. J.,
Rendleman C. A.
Publication year - 2002
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.310
Subject(s) - mach number , projection (relational algebra) , divergence (linguistics) , projection method , constraint (computer aided design) , computer science , mathematical optimization , mathematics , hierarchy , algorithm , dykstra's projection algorithm , geometry , physics , mechanics , linguistics , philosophy , economics , market economy
We describe an adaptive projection method for numerically simulating low Mach number flows. The projection method formulation enforces the velocity divergence constraint resulting from the low Mach number approximation. It is implemented on an adaptive hierarchy of logically rectangular grids, where each finer level is refined in space and in time. The adaptive algorithm has been shown in previous papers to be robust and second‐order accurate, and to satisfy the principles of conservation and free‐stream preservation as applicable. Here, the parallelization is described in some detail, and the methodology is demonstrated on two examples from premixed, low Mach number combustion. Published in 2002 by John Wiley & Sons, Ltd.