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Titlebook: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies; Zhu You-lan,Chen Bing-mu,Zhang Zuo-min Book 1988 Springer-V

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Inviscid Steady Flowe gas will also be neglected. Under these conditions we can derive the basic flow equations in the integral form as follows.: .. Here . is any closed surface in space; . is the velocity vector of the moving gas, . the pressure, . the density, . the specific internal energy (i.e., the internal energy
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Solution of Supersonic Regions of Flow around Combined Bodiess the steady in viscid, non-heat-conducting flow of a perfect gas or air in chemical equilibrium. If the initial data are given on a space-like surface near the nose of a body, and if the flow in the downstream region of the initial surface is supersonic, then the flow in the supersonic region can b
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equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a
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Optimizing Reduction to Familiar Conceptson in the .-direction. Because a periodicity condition is given in the .-direction, the way of discretization for the pure-initial-value problems can be used in the .-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.
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https://doi.org/10.1007/978-94-017-2823-2e near the nose of a body, and if the flow in the downstream region of the initial surface is supersonic, then the flow in the supersonic region can be determined by solving an initial-boundary-value problem for hyperbolic systems.
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Numerical Methods for Initial-Boundary-Value Problems for First Order Quasilinear Hyperbolic Systemsnitial-value problems (PIVP) to the initial-boundary-value problems (IBVP), difficulties are encountered since we usually do not know how to calculate the bounday points and how to ascertain whether an algorithm for boundary points is reasonable.
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