The space-time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients

DOI10.1016/j.camwa.2017.10.021zbMath1409.76068OpenAlexW2768782514MaRDI QIDQ1732374

Ishtiaq Ali, Shamsul Qamar, Waqas Ashraf, M. Rehan Saleem, Saqib Zia

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.10.021

zbMATH Keywords

non-conservative systembottom topographyspace-time CESE methodcentral NT schemehorizontal temperature gradientssingle phase shallow flow model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Well-Balanced and Positivity-Preserving Surface Reconstruction Schemes Solving Ripa Systems With Nonflat Bottom Topography

Uses Software

• CESE

Cites Work

• Unnamed Item
• Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
• Application of central schemes for solving radiation hydrodynamical models
• Well-balanced central finite volume methods for the Ripa system
• A gas-kinetic scheme for shallow-water equations with source terms
• Finite-volume WENO scheme for viscous compressible multicomponent flows
• The dynamics of avalanches of granular materials from initiation to runout. I: Analysis
• Fourth-order balanced source term treatment in central WENO schemes for shallow water equations
• Non-oscillatory central differencing for hyperbolic conservation laws
• On the application of a variant CE/SE method for solving two-dimensional ideal MHD equations
• A multiphase Godunov method for compressible multifluid and multiphase flows
• Kinetic flux vector splitting for radiation hydrodynamical equations
• The space-time CE/SE method for solving single and two-phase shallow flow models
• A splitting scheme based on the space-time CE/SE method for solving multi-dimensional hydrodynamical models of semiconductor devices
• Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics
• A kinetic scheme for the Saint-Venant system with a source term
• Some approximate Godunov schemes to compute shallow-water equations with topography.
• The method of space-time conservation element and solution element -- a new approach for solving the Navier-Stokes and Euler equations
• The space-time conservation element and solution element method: A new high-resolution and genuinely multidimensional paradigm for solving conservation laws
• Modified shallow water equations for significantly varying seabeds
• A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
• Application of space-time CE/SE method to shallow water magnetohydrodynamic equations
• A steady-state capturing method for hyperbolic systems with geometrical source terms
• Well-balanced schemes to capture non-explicit steady states: Ripa model
• A SPACE–TIME CE/SE METHOD FOR SOLVING HYPERBOLIC HEAT CONDUCTION MODEL
• A model problem for a supersonic gas jet from a moon
• A Roe-type scheme for two-phase shallow granular flows over variable topography
• Common Hamiltonian structure of the shallow water equations with horizontal temperature gradients and magnetic fields
• The motion of a finite mass of granular material down a rough incline
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• Central-Upwind Schemes for the Saint-Venant System
• A Generalized Relaxation Method for Transport and Diffusion of Pollutant Models in Shallow Water
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• On improving a one-layer ocean model with thermodynamics
• Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography
• Application of the space-time conservation element and solution element method to one-dimensional convection-diffusion problems
• A space-time conservation element and solution element method for solving the two- and three-dimensional unsteady Euler equations using quadilateral and hexahedral meshes.

This page was built for publication: The space-time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients