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Dispersive Properties of High Order Finite Elements Read chapter Read first chapter

2003 | OriginalPaper | Chapter

Elimination of First Order Errors in Time Dependent Shock Calculations

Authors : Malin Siklosi, Gunilla Kreiss

Published in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

Publisher: Springer Berlin Heidelberg

Included in: Professional Book Archive

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First order errors downstream of shocks have been detected in computations with higher order shock capturing schemes in one and two dimensions. We use matched asymptotic expansions to analyze the phenomenon for one dimensional time dependent hyperbolic systems and show how to design the artificial viscosity term in order to avoid the first order error. Numerical computations verify that second order accurate solutions are obtained.

previous chapter A Finite Element Method for the Solution of a Time-Dependent Nonlinear Wave Propagation Equation
next chapter On the Numerical Simulation of the Constrained Wave Motion: a Penalty Approach
Metadata
Title
Elimination of First Order Errors in Time Dependent Shock Calculations
Authors
Malin Siklosi
Gunilla Kreiss
Copyright Year
2003
Publisher
Springer Berlin Heidelberg
Book
Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

Print ISBN: 978-3-642-62480-3

Electronic ISBN: 978-3-642-55856-6

Copyright Year: 2003

DOI
https://doi.org/10.1007/978-3-642-55856-6_111