Applications of a comprehensive grid method to solution of three-dimensional boundary value problems

作者：Liseikin V D^*; Rychkov A D; Kofanov A V

来源：Journal of Computational Physics, 2011, 230(21): 7755-7774.

DOI：10.1016/j.jcp.2011.06.002

• Three-dimensional grid generation methods
• Numerical solution of Beltrami and diffusion equations
• Adaptive grids

This paper describes some applications to three-dimensional problems of a comprehensive grid generation method that relies on inverted Beltrami equations in control metrics. The method enables one to generate in a unified manner both fixed and adaptive grids in domains and on surfaces with complicated geometry and/or multi-scaled physical quantities. The applications are related to the solutions of singularly perturbed equations with interior and boundary layers and to the solution of the heat equation in a two-phased medium modelling heat transfer between a solid material and an embedded thermocouple.

• 出版日期2011-9-1