Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Study on the Finite Element Discretization of the Level Set Redistancing Algorithm

Level Set Redistancing 알고리즘의 유한요소 이산화 기법에 대한 연구

  • 강성우 (서울대학교 대학원 기계항공공학부) ;
  • 유정열 (서울대학교 기계항공공학부) ;
  • 이윤표 (한국과학기술원 열-유동제어 연구센터) ;
  • 최형권 (서울산업대학교 기계공학과)
  • Published : 2005.06.01
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Abstract

A finite element discretization of the advection and redistancing equations of level set method has been studied. It has been shown that Galerkin spatial discretization combined with Crank-Nicolson temporal discretization of the advection equation of level set yields a good result and that consistent streamline upwind Petrov-Galerkin(CSUPG) discretization of the redistancing equation gives satisfactory solutions for two test problems while the solutions of streamline upwind Petrov-Galerkin(SUPG) discretization are dissipated by the numerical diffusion added for the stability of a hyperbolic system. Furthermore, it has been found that the solutions obtained by CSUPG method are comparable to those by second order ENO method.

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References

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