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Parameter‐uniform numerical methods for a laminar jet problem
Author(s) -
Ansari Ali R.,
Hegarty Alan F.,
Shishkin Grigori I.
Publication year - 2003
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.511
Subject(s) - laminar flow , mathematics , jet (fluid) , boundary layer , numerical analysis , piecewise , polygon mesh , convergence (economics) , incompressible flow , momentum (technical analysis) , boundary (topology) , compressibility , mathematical analysis , flow (mathematics) , mechanics , geometry , physics , finance , economics , economic growth
We consider the classical problem of a two‐dimensional laminar jet of incompressible fluid flowing into a stationary medium of the same fluid. The equations of motion are the same as the boundary layer equations for flow past an infinite flat plate, but with different boundary conditions. Numerical experiments show that, using appropriate piecewise‐uniform meshes, numerical solutions together with their scaled discrete derivatives are obtained which are parameter (i.e., viscosity ν) robust with respect to both the number of mesh nodes and the number of iterations required for convergence. While the method employed is non‐conservative, we show with the aid of numerical experiments that the loss in conservation of momentum is minimal. Copyright © 2003 John Wiley & Sons, Ltd.