Convergence improved Lax-Friedrichs scheme based numerical schemes and their applications in solving the one-layer and two-layer shallow-water equations
DOI10.1155/2015/379281zbMath1394.65076OpenAlexW2172748664WikidataQ59118232 ScholiaQ59118232MaRDI QIDQ1665532
Bingjiang Dong, Bing Mao, Xiaofeng Zhang, Xin-Hua Lu
Publication date: 27 August 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/379281
PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
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- Solution properties and approximate Riemann solvers for two-layer shallow flow models
- Non-oscillatory central differencing for hyperbolic conservation laws
- A robust well-balanced scheme for multi-layer shallow water equations
- FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A level set approach for computing solutions to incompressible two-phase flow
- Upwind methods for hyperbolic conservation laws with source terms
- Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems
- Shock-capturing approach and nonevolutionary solutions in magnetohydrodynamics
- Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Centred TVD schemes for hyperbolic conservation laws
- Systems of conservation laws
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
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