Borthwick, Alistair

Chaabelasri, Elmiloud

Elmahi, Imad

Salhi, Najim

English

A balanced adaptive scheme is proposed for the numerical solution of the coupled non-linear shallow water equations and depth-averaged advection-diffusion pollutant transport equation. The scheme uses the Roe approximate Riemann solver with centred discretization for advection terms and the Vazquez scheme for source terms. It is designed to handle non-uniform bed topography on triangular unstructured meshes, while satisfying the conservation property. Dynamic mesh adaptation criteria are based on the local pollutant concentration gradients. The model is validated for steady flow over irregular bed topography, recirculation due to a sidewall expansion in a frictionless channel, and pollution advection in a flat-bottomed channel. An idealised application to the simulation of pollution dispersion in the Bay of Tangier, Morocco is presented, which demonstrates the capability of the dynamically adaptive grid model to represent water quality scenarios in a bay of non-uniform bed topography and complicated shoreline

Edinburgh Research Explorer

A high resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations.

Approximate Riemann solutions of the shallow-water equations.

Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm,

Balancing source terms and flux gradients in highresolution Godunov methods.

Efficient implementation of non-oscillatory schemes of free surface flows.

Flux difference splitting and the balancing of source terms and flux gradients.

Flux difference splitting for 1D open channel flow equations.

Ignition of fuel issuing from a porous cylinder located adjacent to a heated wall: a numerical study,

Improved treatment of source terms in TVD scheme for shallow water equations,

Improved treatment of source terms in upwind schemes for shallow water equations in channels with irregular geometry.

Jean-Paul Caltagiron and Aldo Sottolichio, A novel implicit method for coastal hydrodynamics modeling: application to the Arcachon lagoon,

Numerical Computation of internal and external flows: the fundamentals of computational fluid dynamics,

Positivity preserving finite volume Roe schemes for transport diffusion equations&quot;,

Procedings of the 2 nd workshop on dam-break wave simulation, Laboratoire national d’hydraulique, Groupe Hydraulique Fluviale Electricité de France,

Schémas volumes finis pour la simulation numérique de problèmes à fronts raides en maillages non structurés adaptatifs, Ph.D, thesis,

Un Modelo Numérico en Elementos Finitos para la Corriente Inducida por la Marea. Aplicaciones al Estrecho de Gibraltar, Revista Internacional de Métodos Numéricos para Calculo y Diseño en Ingenieria.

Upwind methods for hyperbolic conservation laws with source terms.

Upwind methods for hyperbolic conservation laws with source terms. Computers and Fluids

Upwind schemes for the towdimensional shallow water equations with variable depth using unstructured meshes, Computer methods in applied mechanics engenering,

Weighted essentially non-oscillatory schemes,

Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes,

Balanced adaptive simulation of pollutant transport in Bay of Tangier

Balanced adaptive simulation of pollutant transport in Bay of Tangier

Abstract

Similar works

Full text

Available Versions

Edinburgh Research Explorer