Comparison of a least-square weighted residual method and the Taylor?Galerkin method based on level set formulation for interface capturing. (29th June 2011)

• Record Type: Journal Article
• Authors: Choi, Hyoung Gwon
• Is Part Of: Progress in computational fluid dynamics. Volume 11:Number 3/4(2011)
• Page Start: 169
• Page End: 174
• Publication Date: 2011-06-29
• Subjects: least-squares weighted residual method -- Taylor?Galerkin method -- level set method -- advection -- reinitialisation -- time-reversed vortex flow -- 3D broken dam flows -- finite element method -- FEM -- incompressible Navier?Stokes equations -- direct numerical simulation -- DNS -- free surface flow; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

Abstract

In this study, a least-square weighted residual method and the Taylor?Galerkin method have been adopted for the discretisation of the two hyperbolic-type equations of level set method: advection and reinitialisation equations. The accuracy and efficiency of the two methods were compared by solving a time-reversed vortex flow and a three-dimensional broken dam flows. A four-step splitting P1P1 finite element method was used for the solution of the incompressible Navier?Stokes equations. These numerical experiments showed that both the least-square weighted residual method and the Taylor?Galerkin method were first-order accurate in space and that the least-square method was more accurate and conservative than Taylor?Galerkin method in terms of mass error.