scientific article; zbMATH DE number 1552914
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Publication:4525125
zbMath1010.76061MaRDI QIDQ4525125
Publication date: 5 July 2001
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finite volume schemesRiemann problemshock wavesRiemann invariantsRiemann solverGodunov schemewater hammerjump relationshipssystem of hyperbolic partial differential equations
Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)
Related Items (4)
Unnamed Item ⋮ An approximate-state Riemann solver for the two-dimensional shallow water equations with porosity ⋮ New Godunov-type method for simulation of weakly compressible pipeline flows with allowance for elastic deformation of the walls ⋮ The spectral element method as an efficient tool for transient simulations of hydraulic systems
Cites Work
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- A second-order Godunov-type scheme for compressible fluid dynamics
- A general, non-iterative Riemann solver for Godunov's method
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Boundary condition treatment in 2×2 systems of propagation equations
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