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

Zhu You-lan, Chen Bing-mu, Zhong Xi-chang and Zhang Zuo-min
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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

Chapter Chapter 2 in Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies, 1988, pp 171-193 from Springer

Abstract: 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.

Date: 1988
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DOI: 10.1007/978-3-662-06707-9_2

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