Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 50, Issue 12, Pages 1369-1379Publisher
WILEY
DOI: 10.1002/fld.1093
Keywords
DGCL; GCL; time discretization; ALE; deforming domain; second-order time accuracy
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This note revisits the derivation of the ALE form of the incompressible Navier-Stokes equations in order to retain insight into the nature of geometric conservation. It is shown that the flow equations can be written such that time derivatives of integrals over moving domains are avoided prior to discretization. The geometric conservation law is introduced into the equations and the resulting formulation is discretized in time and space without loss of stability and accuracy compared to the fixed grid version. Them is no need for temporal averaging remaining. The formulation applies equally to different time integration schemes within a finite element context. Copyright (c) 2005 John Wiley & Sons, Ltd.
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