Comparison of a least-square weighted residual method and the Taylor–Galerkin method based on level set formulation for interface capturing
by Hyoung Gwon Choi
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 11, No. 3/4, 2011

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.

Online publication date: Tue, 28-Jun-2011

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