Transport of pollutant in shallow flows: a space-time CE/SE scheme

DOI10.1016/j.camwa.2019.02.010zbMath1442.65174OpenAlexW2916121349WikidataQ128336439 ScholiaQ128336439MaRDI QIDQ2204036

Saqib Zia, Omar Rabbani, Munshoor Ahmed

Publication date: 2 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.02.010

zbMATH Keywords

hyperbolic systemscentral schemenon-conservative systemsCE/SE schemepollutant-transport shallow flow model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Ecology (92D40)

Related Items (2)

Propagation of diffusing pollutant by kinetic flux-vector splitting method ⋮ Numerical approximation of compressible two-phase six-equation model using CE/SE and RKDG schemes

Cites Work

• Unnamed Item
• Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
• Adaptive quadtree simulation of shallow flows with wet-dry fronts over complex topography
• Well-balanced central finite volume methods for the Ripa system
• Non-oscillatory central differencing for hyperbolic conservation laws
• On the application of a variant CE/SE method for solving two-dimensional ideal MHD equations
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• High order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equations
• The space-time CE/SE method for solving single and two-phase shallow flow models
• Well-balanced central WENO schemes for the sediment transport model in shallow water
• A relaxation scheme for the hydrodynamic equations for semiconductors
• 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
• Application of space-time CE/SE method to shallow water magnetohydrodynamic equations
• Finite-volume-particle methods for models of transport of pollutant in shallow water
• Well-balanced schemes to capture non-explicit steady states: Ripa model
• Central-Upwind Schemes for the Saint-Venant System
• Transport of Pollutant in Shallow Water A Two Time Steps Kinetic Method
• A Generalized Relaxation Method for Transport and Diffusion of Pollutant Models in Shallow Water
• A well‐balanced weighted essentially non‐oscillatory scheme for pollutant transport in shallow water
• On a hybrid finite-volume-particle method
• Application of the space-time conservation element and solution element method to one-dimensional convection-diffusion problems
• The surface gradient method for the treatment of source terms in the shallow-water equations
• A space-time conservation element and solution element method for solving the two- and three-dimensional unsteady Euler equations using quadilateral and hexahedral meshes.

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