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NUMERICAL SIMULATION OF UNSTEADY VISCOUS FLOWS USING AN IMPLICIT PROJECTION METHOD
Author(s) -
PENTARIS A.,
TSANGARIS S.
Publication year - 1996
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/(sici)1097-0363(19961115)23:9<897::aid-fld461>3.0.co;2-#
Subject(s) - computational fluid dynamics , projection (relational algebra) , mechanics , projection method , mathematics , computer science , classical mechanics , physics , mathematical optimization , algorithm , dykstra's projection algorithm
In this paper an implicit projection method for the solution of the two‐dimensional, time‐dependent, incompressible Navier– Stokes equations is presented. The basic principle of this method is that the evaluation of the time evolution is split into intermediate steps. The computational method is based on the approximate factorization technique. The coupled approach is used to link the equations of motion and the turbulence model equations. The standard k‐ϵ turbulence model is used. The current methodology, which has been tested extensively for steady problems, is now applied for the numerical simulation of unsteady flows. Several cases were tested, such as plane or axisymmetric channels, a backward‐facing step, a square cavity and an axisymmetric stenosis.