Numerical treatment of nonconservation forms of the equations of shallow water theory

DOI10.1016/0021-9991(81)90043-7zbMath0474.76030OpenAlexW2056051576MaRDI QIDQ1159033

Guillermo Marshall, Angel N. Menendez

Publication date: 1981

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90043-7

zbMATH Keywords

Riemann problemshallow water theoryrandom choice methodbreakdown of discontinuitiescartesian and cylindrical coordinatesdam-failure problemnonconservation formsnonlinearly interacting waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical integration (65D30) Probabilistic methods, stochastic differential equations (65C99)

Related Items

A generalized Riemann problem for quasi-one-dimensional gas flows

Cites Work

• A mathematical introduction to fluid mechanics
• Computational aspects of the random choice method for shallow water equations
• Random choice solution of hyperbolic systems
• Random choice methods with applications to reacting gas flow
• A numerical study of a converging cylindrical shock
• Solutions in the large for nonlinear hyperbolic systems of equations
• Unnamed Item
• Unnamed Item
• Unnamed Item