Approximate solutions of generalized Riemann problems: The toro-titarev solver and the lefloch-raviart expansion

Link:
Autor/in:
Beteiligte Person:
  • Vázquez-Cendón, Elena
Verlag/Körperschaft:
CRC Press/Taylor & Francis
Erscheinungsjahr:
2013
Medientyp:
Text
Beschreibung:
  • This work concerns the solution of generalized Riemann problems. To this end, we consider the ADER scheme of Titarev & Toro (2002), which relies on a generalization of the classical Godunov scheme. Another solution method is the power series expansion of LeFloch & Raviart (1988). We analyze the two resulting approximation schemes, where we show that for scalar Id problems the ToroTitarev solver and the LeFloch-Raviart expansion yield the same Taylor series expansions in time. The full analysis for the Burgers equation is finally provided. © 2013 Taylor & Francis Group, London.
Lizenz:
  • info:eu-repo/semantics/closedAccess
Quellsystem:
Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/5d795004-8c7d-47dd-b261-578b81a22b36