Gas Dynamics: The Riemann Problem and Discontinuous Solutions: Application to the Shock Tube Problem
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چکیده
The interest in studying the shock tube problem is threefold. From a fundamental point of view, it offers an interesting framework to introduce some basic notions about nonlinear hyperbolic systems of partial differential equations (PDEs). From a numerical point of view, this problem constitutes, since the exact solution is known, an inevitable and difficult test case for any numerical method dealing with discontinuous solutions. Finally, there is a practical interest, since this model is used to describe real shock tube experimental devices.1
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تاریخ انتشار 2007