کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
519029 | 867635 | 2011 | 20 صفحه PDF | دانلود رایگان |
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.
► The grid method based on Beltrami equations is applied to 3D problems.
► The grids are generated with the use of a spherical control metric.
► Singularly perturbed equations are calculated on adaptive grids.
► The adaptive grids are also used for numerical modeling of a two-phased problem.
Journal: Journal of Computational Physics - Volume 230, Issue 21, 1 September 2011, Pages 7755–7774