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

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

Oldenziel, G.
Gerritsma, M.I.

Aerospace Engineering

2006-09-08

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.

Least-Squares Spectral Element Methods
hyperbolic equations
hp-convergence

http://resolver.tudelft.nl/uuid:74a8a8be-6cf7-4a2d-bd8d-1874597ac2e1

Delft University of Technology; European Community on Computational Methods in Applied Sciences (ECCOMAS)

90-9020970-0

ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, September 5-8, 2006

Institutional Repository

conference paper

(c) 2006 The Author(s)