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Time‐dependent solutions of viscous incompressible flows in moving co‐ordinates
Author(s) -
Rosenfeld Moshe,
Kwak Dochan
Publication year - 1991
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.1650131008
Subject(s) - discretization , mathematics , pressure correction method , compressibility , finite volume method , solver , convergence (economics) , poisson's equation , mathematical analysis , navier–stokes equations , computational fluid dynamics , incompressible flow , geometry , mathematical optimization , flow (mathematics) , physics , mechanics , economics , economic growth
A time‐accurate solution method for the incompressible Navier‐Stokes equations in generalized moving coordinates is presented. A finite volume discretization method that satisfies the geometric conservation laws for time‐varying computational cells is used. The discrete equations are solved by a fractional step solution procedure. The solution is second‐order‐accurate in space and first‐order‐accurate in time. The pressure and the volume fluxes are chosen as the unknowns to facilitate the formulation of a consistent Poisson equation and thus to obtain a robust Poisson solver with favourable convergence properties. The method is validated by comparing the solutions with other numerical and experimental results. Good agreement is obtained in all cases.