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Open boundary condition symposium benchmark solution: Stratified flow over a backward‐facing step
Author(s) -
Leone John M.
Publication year - 1990
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.1650110705
Subject(s) - richardson extrapolation , reynolds number , mathematics , froude number , prandtl number , extrapolation , benchmark (surveying) , flow (mathematics) , boundary value problem , mechanics , mathematical analysis , geometry , physics , geology , convection , geodesy , turbulence
This paper presents a detailed numerical solution to a simplified version of two‐dimensional stratified flow over a backward‐facing step with a Froude number of 16/9, a Reynolds number of 800 and a Prandtl number of 1—one of the Open Boundary Condition Symposium test problems. The steady state solution was derived by integrating the time‐dependent Boussinesq equations forward in time using a semi‐implicit finite‐element‐based model on a 38400‐element mesh. In addition to presenting the results derived on this grid, the paper also presents the results of a Richardson extrapolation calculation for a set of ‘key’ parameters. It is hoped that this solution can be used as a baseline to compare the performance of the various techniques discussed at the Open Boundary Condition Symposium.