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Exact Riemann Solver: Dry Bed,r the case of pollutant transport models. A computer-programme listing is given in Chap. ., for the complete exact Riemann solver that can deal with both wet and dry bed conditions. Useful background is found in Chaps. .–..物种起源 发表于 2025-3-22 07:20:17
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Approximate Riemann Solvers,n non-conservative form. These methods do not require the explicit solution of the Riemann problem and may be placed at the bottom of the hierarchy of Riemann solvers. All the methods studied give directly a first-order accurate method of the Godunov type and can be extended to construct non-linear谦虚的人 发表于 2025-3-22 14:16:29
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ADER High-Order Methods,tensions, but we also identify specific applications to the shallow water equations of interest in this book. The chapter is concluded with two examples that highlight the key point of very high-order methods; that is, for small errors high-order ADER methods are orders-of-magnitude more efficient tligature 发表于 2025-3-22 22:06:41
DAM-BREAK Modelling,t case concerns a circular dam (2D) for which a radial reference 1D solution is available for rigorous assessment of the performance of the numerical methods. High-resolution numerical computations using methods from this book capture the physical aspects of wave propagation combining the primary ou不能平静 发表于 2025-3-23 02:22:01
The Civil Rights Movement of the GDR in 1989 from conservative formulations of the shallow water equations in terms of physical variables, rather than conserved variables. It is found that such shocks are slower than those from the conserved formulation using the conserved variables. The Chapter is concluded with a list of suggested exercisesCOKE 发表于 2025-3-23 05:46:41
https://doi.org/10.1007/978-3-531-92462-5which includes identifying the type of waves present and a solution sampling procedure to determine the vector .(., .) at any point (., .) in the .-. half plane. The solution will be used in successive chapters for constructing upwind numerical methods for the general initial-boundary value problem,