Mapped Tent Pitching Schemes for Hyperbolic Systems
Mapped Tent Pitching Schemes for Hyperbolic Systems
复制标题
双曲系统的映射帐篷搭建方案
DOI：
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发表时间：
2016
影响因子：
3.1
通讯作者：
C. Wintersteiger
中科院分区：
文献类型：
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作者：
Jay Gopalakrishnan;J. Schöberl;C. Wintersteiger
时空域可以通过帐篷形状的物体逐渐网格化。先前已经提出了使用这种帐篷网格及时推进来求解双曲系统的数值方法。此类方案能够在不同的空间位置及时推进不同的量。本文探讨了一种可以在帐篷形时空域内使用标准离散化（包括显式时间步进）的技术。该技术将时空帐篷内的方程转换为空间和时间可分离的域。在详细介绍基于此映射的技术之后，考虑了包括声波方程和欧拉系统在内的几个示例。
A spacetime domain can be progressively meshed by tent shaped objects. Numerical methods for solving hyperbolic systems using such tent meshes to advance in time have been proposed previously. Such schemes have the ability to advance in time by different amounts at different spatial locations. This paper explores a technique by which standard discretizations, including explicit time stepping, can be used within tent-shaped spacetime domains. The technique transforms the equations within a spacetime tent to a domain where space and time are separable. After detailing techniques based on this mapping, several examples including the acoustic wave equation and the Euler system are considered.
具有裂纹闭合和摩擦滑动的动态断裂时空模拟
DOI：
10.1186/s40323-018-0116-5
发表时间：
2018
影响因子：
--
作者：
Abedi, Reza;Haber, Robert B.
通讯作者：
Haber, Robert B.