High-Order Embedded Finite Difference Schemes for Initial Boundary Value Problems on Time Dependent Irregular Domains

被引：0
作者：
Adi Ditkowski
Yuval Harness
机构：
[1] Tel Aviv University,School of Mathematical Sciences
来源：
Journal of Scientific Computing | 2009年 / 39卷
关键词：
Initial boundary value problems; Moving boundaries; Embedded finite difference; Complex geometry; Heat equation; Diffusion equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers a family of spatially discrete approximations, including boundary treatment, to initial boundary value problems in evolving bounded domains. The presented method is based on the Cartesian grid embedded Finite-Difference method, which was initially introduced by Abarbanel and Ditkowski (ICASE Report No. 96-8, 1996; and J. Comput. Phys. 133(2), 1997) and Ditkowski (Ph.D. thesis, Tel Aviv University, 1997), for initial boundary value problems on constant irregular domains.
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页码：394 / 440
页数：46
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