Godunov-type large time step scheme for shallow water equations with bed-slope source term
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Publication:2072348
DOI10.1016/j.compfluid.2021.105222OpenAlexW3217544986MaRDI QIDQ2072348
Bo Xu, Hongbo Ma, Renyi Xu, Alistair G. L. Borthwick
Publication date: 26 January 2022
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2021.105222
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Cites Work
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- A 2D extension of a large time step explicit scheme \((\mathrm{CFL}>1)\) for unsteady problems with wet/dry boundaries
- A class of large time step Godunov schemes for hyperbolic conservation laws and applications
- Weak solutions for partial differential equations with source terms: application to the shallow water equations
- High resolution finite volume methods on arbitrary grids via wave propagation
- A new flux splitting scheme
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint)
- On numerical treatment of the source terms in the shallow water equations
- Application of compact schemes in the CUSP framework for strong shock-vortex interaction
- A large time step 1D upwind explicit scheme (CFL\(>1\)): application to shallow water equations
- Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry
- The Riemann problem for the one-dimensional, free-surface shallow water equations with a bed step: theoretical analysis and numerical simulations
- Large Time Step TVD Schemes for Hyperbolic Conservation Laws
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- On a Large Time-Step High Resolution Scheme
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- Group Velocity in Finite Difference Schemes
- Large Time Step Shock-Capturing Techniques for Scalar Conservation Laws
- Performance of numerical methods on the non‐unique solution to the Riemann problem for the shallow water equations
- Extension of an explicit finite volume method to large time steps (CFL>1): application to shallow water flows
- Exact solutions to the Riemann problem of the shallow water equations with a bottom step