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A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

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  • J. A. S. Witteveen

    (Delft University of Technology, Faculty of Aerospace Engineering)

Abstract

Front tracking methods can be used to accurately resolve discontinuities in numerical simulations of Euler flows. They usually result in first-order error convergence due to their piecewise constant approximation of the flow conditions. In this chapter, a piecewise linear reconstruction of the solution is proposed based on wave types which track the physical phenomena that the fronts represent. It is demonstrated numerically that this approach results in second-order error convergence. A verification and validation study is performed by comparing the results with those of the Godunov method and experimental data.

Suggested Citation

  • J. A. S. Witteveen, 2008. "A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 1077-1084, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_115
    DOI: 10.1007/978-3-540-75712-2_115
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