Conservative numerical simulation of multi-component transport in two-dimensional unsteady shallow water flow
From MaRDI portal
Publication:834099
DOI10.1016/j.jcp.2009.04.039zbMath1280.76042OpenAlexW1986164246MaRDI QIDQ834099
Publication date: 19 August 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.04.039
turbulencecoupled systemshallow flowwell-balanced approachmulti-component transportvariable domain\(\kappa -\varepsilon \) modelreactive source termssolute constraints
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
A Roe type energy balanced solver for 1D arterial blood flow and transport, An Exner-based coupled model for two-dimensional transient flow over erodible bed, Wave Riemann description of friction terms in unsteady shallow flows: application to water and mud/debris floods, A Riemann solver for unsteady computation of 2D shallow flows with variable density, Augmented versions of the HLL and HLLC Riemann solvers including source terms in one and two dimensions for shallow flow applications, Improved Riemann solvers for complex transport in two-dimensional unsteady shallow flow, Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations, A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography, Weak solutions for partial differential equations with source terms: application to the shallow water equations, A stable 2D unstructured shallow flow model for simulations of wetting and drying over rough terrains, A second order residual based predictor-corrector approach for time dependent pollutant transport
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
- A new theoretically motivated higher order upwind scheme on unstructured grids of simplices
- Numerical approximation of hyperbolic systems of conservation laws
- Generalized Roe schemes for 1D two-phase, free-surface flows over a mobile bed
- Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes
- Efficient construction of high-resolution TVD conservative schemes for equations with source terms: application to shallow water flows
- Time step restrictions for well-balanced shallow water solutions in non-zero velocity steady states
- A conservative 2D model of inundation flow with solute transport over dry bed
- The influence of source terms on stability, accuracy and conservation in two-dimensional shallow flow simulation using triangular finite volumes
- Experimental validation of two depth-averaged turbulence models
- On the Accuracy of Stable Schemes for 2D Scalar Conservation Laws
- Some exact solutions to the nonlinear shallow-water wave equations
- A numerical model for the flooding and drying of irregular domains
- Finite Volume Methods for Hyperbolic Problems
- Analysis of a second‐order upwind method for the simulation of solute transport in 2D shallow water flow
- Preserving bounded and conservative solutions of transport in one‐dimensional shallow‐water flow with upwind numerical schemes: Application to fertigation and solute transport in rivers
- Coupling between shallow water and solute flow equations: analysis and management of source terms in 2D
- On the solution of nonlinear hyperbolic differential equations by finite differences
- Flux difference splitting and the balancing of source terms and flux gradients
