Mapped Tent Pitching Schemes for Hyperbolic Systems

Authors

Jay Gopalakrishnan, Portland State UniversityFollow
Joachim Schöberl, TU WienFollow
C. Wintersteiger, Portland State University

Sponsor

This work was supported in part by the NSF under DMS-1318916 and DMS-1624776.

Document Type

Pre-Print

Publication Date

10-2016

Subjects

Mathematical statistics, Entropy

Abstract

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.

Description

This is the pre-print version of the article.

Persistent Identifier

http://archives.pdx.edu/ds/psu/20537

Citation Details

Gopalakrishnan, Jay; Schöberl, Joachim; and Wintersteiger, C., "Mapped Tent Pitching Schemes for Hyperbolic Systems" (2016). Portland Institute for Computational Science Publications. 1.
http://archives.pdx.edu/ds/psu/20537