A level set moving mesh method in static form for one dimensional PDEs

Document Type : Research Article

Author

• Maryam Arab Ameri

Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.

10.22067/ijnao.v3i1.18813

Abstract

In this paper, we propose an adaptive mesh approach for time dependent parial differential equations, based on a so-called moving mesh PDE(MMPDE) and level set method. It means that the velocity of mesh nodes is calculated by MMPDE and is employed as veocity in the level set equation. Then, at each time level, the mesh points are considered as the level contours of the level set function. Finally the method is merged with local time step technique.

Keywords

• Adaptive grid
• Level set function
• Level contours
• Moving mesh
• Local time stepping refinement
• MMPDE

20.1001.1.24236977.2013.3.1.3.4

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