Mapped Tent Pitching Schemes for Hyperbolic SystemsPortland Institute for Computational Science Publications
SponsorThis work was supported in part by the NSF under DMS-1318916 and DMS-1624776.
- Mathematical statistics,
AbstractA 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.
Citation InformationJay Gopalakrishnan, Joachim Schöberl and C. Wintersteiger. "Mapped Tent Pitching Schemes for Hyperbolic Systems" (2016)
Available at: http://works.bepress.com/jay-gopalakrishnan/104/