Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
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DOI：
10.1137/s0036142997315974
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发表时间：
1998-10
影响因子：
2.9
通讯作者：
M. Berger;R. LeVeque
中科院分区：
文献类型：
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作者：
M. Berger;R. LeVeque
为气体动力学欧拉方程开发的自适应网格细化算法已经扩展到在更一般的框架中使用高分辨率波传播算法。这允许它在各种新问题上使用，包括非守恒形式的双曲方程，有源项或容量函数的问题，以及逻辑上的矩形曲线网格。该框架需要一种改进的方法来维护网格接口的一致性和守恒性，详细描述了这一点。该算法在AMRCLAW包中实现，该包是免费提供的。
An adaptive mesh refinement algorithm developed for the Euler equations of gas dynamics has been extended to employ high-resolution wave-propagation algorithms in a more general framework. This allows its use on a variety of new problems, including hyperbolic equations not in conservation form, problems with source terms or capacity functions, and logically rectangular curvilinear grids. This framework requires a modified approach to maintaining consistency and conservation at grid interfaces, which is described in detail. The algorithm is implemented in the AMRCLAW package, which is freely available.