Semi-analytical solutions of shallow water waves with idealised bottom topographies
From MaRDI portal
Publication:6097791
DOI10.1080/03091929.2023.2169283arXiv2301.02957OpenAlexW4319301807MaRDI QIDQ6097791
Publication date: 7 June 2023
Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.02957
Related Items (1)
Cites Work
- Properties and exact solutions of the equations of motion of shallow water in a spinning paraboloid
- Locally limited and fully conserved RKDG2 shallow water solutions with wetting and drying
- An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography
- Regular and chaotic flows in paraboloidal basins and eddies.
- Some new exact solutions to the nonlinear shallow-water wave equations via group analysis
- An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs
- A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations
- Complete group classification of the two-dimensional shallow water equations with constant Coriolis parameter in Lagrangian coordinates
- Group classification of the two-dimensional shallow water equations with the beta-plane approximation of Coriolis parameter in Lagrangian coordinates
- On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
- Group theoretical analysis of a rotating shallow liquid in a rigid container
- Symmetry group analysis of the shallow water and semi-geostrophic equations
- New similarity reductions of the Boussinesq equation
- A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying
- Symmetries and exact solutions of the rotating shallow-water equations
- Some exact solutions to the nonlinear shallow-water wave equations
- Nonlinear shallow-water oscillations in a parabolic channel: exact solutions and trajectory analyses
- Atmospheric and Oceanic Fluid Dynamics
- SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies
- Exact solutions of shallow water equations for the water oscillation problem in a simulated basin and their implementation in verifying numerical algorithms
- Balanced ellipsoidal vortex at finite Rossby number
- Lie symmetries of two-dimensional shallow water equations with variable bottom topography
- The effect of rotation on the simpler modes of motion of a liquid in an elliptic paraboloid
- Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
- Some general theorems concerning the finite motion of a shallow rotating liquid lying on a paraboloid
- Some analytical solutions for validation of free surface flow computational codes
- Improved bounds on linear instability of barotropic zonal flow within the shallow water equations
- A review of the decomposition method and some recent results for nonlinear equations
This page was built for publication: Semi-analytical solutions of shallow water waves with idealised bottom topographies