한국전산유체공학회:학술대회논문집
- 2009.11a
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- Pages.223-227
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- 2009
FINITE ELEMENT ANALYSIS OF LEVEL SET FORMULATION
유한요소법을 이용한 level set 공식화의 해석
Abstract
In the present study, a least square weighted residual method and Taylor-Galerkin method were formulated and tested for the discretization of the two hyperbolic type equations of level set method; advection and reinitialization equations. The two approaches were compared by solving a time reversed vortex flow and three-dimensional broken dam flow by employing a four-step splitting finite element method for the solution of the incompressible Navier-Stokes equations. From the numerical experiments, it was shown that the least square method is more accurate and conservative than Taylor-Galerkin method and both methods are approximately first order accurate when both advection and reinitialization phase are involved in the evolution of free surface.
Keywords
- Level Set Method;
- Advetion Equation;
- Reinitialization;
- Least Square Weight Residual Method;
- Taylor-Galerkin Method
- 레벨셋 방법;
- 이송방정식;
- 재초기화;
- 최소자승가중잔류법;
- 테일러-갤러킨 방법;