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Numerical Methods for a Certain Class of Initial-Boundary-Value Problems for the First Order Quasilinear Hyperbolic Systems in Three Independent Variables

In: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

Author

Listed:
  • Zhu You-lan

    (Chinese Academy of Sciences, Computing Center)

  • Chen Bing-mu

    (Chinese Academy of Sciences, Computing Center)

  • Zhong Xi-chang

    (Chinese Academy of Sciences, Computing Center)

  • Zhang Zuo-min

    (Chinese Academy of Sciences, Computing Center)

Abstract

In this chapter, we consider the following initial-boundary-value problem for hyperbolic systems with three independent variables x, φ, t. The initial conditions are given in the t-direction, the boundary conditions and the internal boundary conditions in the x-direction, and the periodicity condition in the φ-direction. Because a periodicity condition is given in the φ-direction, the way of discretization for the pure-initial-value problems can be used in the φ-direction. Therefore, it is not difficult to extend the method of Chapter 1 to this class of initial-boundary-value problems with three independent variables.

Suggested Citation

  • Zhu You-lan & Chen Bing-mu & Zhong Xi-chang & Zhang Zuo-min, 1988. "Numerical Methods for a Certain Class of Initial-Boundary-Value Problems for the First Order Quasilinear Hyperbolic Systems in Three Independent Variables," Springer Books, in: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies, chapter 0, pages 171-193, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-06707-9_2
    DOI: 10.1007/978-3-662-06707-9_2
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