Titlebook: Riemann Solvers and Numerical Methods for Fluid Dynamics; A Practical Introduc Eleuterio F. Toro Book 19971st edition Springer-Verlag Berli

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High-Order and TVD Schemes for Non-Linear Systems, space dimension . The upwind schemes are extensions of the Godunov first order upwind method of Chap. 6 and can be applied with any of the Riemann solvers presented in Chap. 4 (exact) and Chaps. 9 to 12 (approximate); they can also be used with the Flux Vector Splitting flux of Chap. 8. The centred

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Methods for Multi-Dimensional PDEs,etries one may write the equations of our interest here as.where . denotes time or a time-like variable and . are Cartesian coordinate directions. . is the vector of conserved variables and .(.), .(.), .(.) are vectors of fluxes in the . directions respectively. A prominent example are the time-depe

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Multidimensional Test Problems,d in practical computations, prior to their actual application, is of considerable importance and cannot be emphasised enough. There are four classes of test problems that can be used, namely (A) tests with exact solution, (B) tests with reliable numerical solution to equivalent one-dimensional equa

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