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Article
Mapped Tent Pitching Schemes for Hyperbolic Systems
Portland Institute for Computational Science Publications
  • Jay Gopalakrishnan, Portland State University
  • Joachim Schöberl, TU Wien
  • C. Wintersteiger, Portland State University
Document Type
Pre-Print
Publication Date
10-1-2016
Subjects
  • Mathematical statistics,
  • Entropy
Disciplines
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 Information
Jay Gopalakrishnan, Joachim Schöberl and C. Wintersteiger. "Mapped Tent Pitching Schemes for Hyperbolic Systems" (2016)
Available at: http://works.bepress.com/jay-gopalakrishnan/104/