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A modified adaptive grid method for recirculating flows
Author(s) -
Lee D.,
Tsuei Y. M.
Publication year - 1992
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.1650140703
Subject(s) - laminar flow , grid , weight function , turbulence , mechanics , flow (mathematics) , mathematics , grid method multiplication , function (biology) , computational fluid dynamics , coupling (piping) , mathematical optimization , mathematical analysis , geometry , physics , materials science , evolutionary biology , biology , metallurgy
In this study a method of equidistribution of a weight function for grid adaption is modified to produce a smoother grid which yields a more accurate solution. In the original scheme the weight function was estimated on each grid independently and a large variation in the values of the, weight function could generate a highly skewed and non‐uniform grid which produced large errors. In this study the weight function is smoothed by coupling neighbouring weight functions. Abrupt changes in the weight function are alleviated and a smoother grid distribution is obtained. With relatively minor modifications of the original weight function it is demonstrated in this study that the solution can be improved. The test cases presented are the one‐dimensional convection‐diffusion equation, a laminar polar cavity flow, a laminar backwardfacing step flow and a turbulent reacting sudden expansion pipe flow. Numerical efficiencies ranging from factors of five to 10 are achieved over uniform grid methods.