Kinetic flux vector splitting method for numerical study of two-dimensional Ripa model
DOI10.1515/ijnsns-2018-0032zbMath1476.65203OpenAlexW2913658834WikidataQ128499652 ScholiaQ128499652MaRDI QIDQ2422281
Publication date: 19 June 2019
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0032
shallow water equationsnonlinear partial differential equationshyperbolic conservation lawskinetic flux vector splitting method
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
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- Well-balanced central finite volume methods for the Ripa system
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- Kinetic flux vector splitting for Euler equations
- A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
- Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics
- Numerical simulation of the MHD equations by a kinetic-type method
- Common Hamiltonian structure of the shallow water equations with horizontal temperature gradients and magnetic fields
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Arnol'd's second stability theorem for the equivalent barotropic model
- On improving a one-layer ocean model with thermodynamics
- A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
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