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On the implicit time integration of semi‐discrete viscous fluxes on unstructured dynamic meshes
Authors:Bruno Koobus  Charbel Farhat
Abstract:Numerical simulations of viscous flow problems with complex moving and/or deforming boundaries commonly require the solution of the corresponding fluid equations of motion on unstructured dynamic meshes. In this paper, a systematic investigation of the importance of the choice of the mesh configuration for evaluating the viscous fluxes is performed when the semi‐discrete Navier–Stokes equations are time‐integrated using the popular second‐order implicit backward difference algorithm. The findings are illustrated with the simulation of a laminar viscous flow problem around an oscillating airfoil. Copyright © 1999 John Wiley & Sons, Ltd.
Keywords:dynamic mesh  Navier–  Stokes equations  unsteady viscous flow
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