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Least-squares spectral element method with implicit time integration for the inviscid Burgers equation:

Authors
  • Oldenziel, G.
  • Gerritsma, M.I.
Publication Date
Sep 08, 2006
Source
TU Delft Repository
Keywords
License
Unknown
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Abstract

This paper describes the use of the Least-Squares Spectral Element Method for non-linear hyperbolic equations. The one-dimensional inviscid Burgers equation is specifically subject of investigation. A second order backward difference method is used for time stepping. The behaviour of this formulation is examined by application to a testcase where a moving shock develops. For this testcase an hp-convergence study is performed.

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