A closure-independent generalized Roe solver for free-surface, two-phase flows over mobile bed

DOI10.1016/J.JCP.2013.08.020zbMath1349.76525OpenAlexW2090772759MaRDI QIDQ348240

Lorenzo Begnudelli, Giorgio Rosatti

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.08.020

zbMATH Keywords

Riemann problemclosure equationsgeneralized Roe solvermobile-bedMultiple Averagesnonconservative equationstwo-phase flowswell-balancing

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Multiphase and multicomponent flows (76Txx) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Modelling the transition between fixed and mobile bed conditions in two-phase free-surface flows: the composite Riemann problem and its numerical solution

Cites Work

• Unnamed Item
• Sediment transport models in shallow water equations and numerical approach by high order finite volume methods
• Hyperconcentrated 1D shallow flows on fixed bed with geometrical source term due to a bottom step
• An Exner-based coupled model for two-dimensional transient flow over erodible bed
• A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers
• Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes
• A well-balanced approach for flows over mobile-bed with high sediment-transport
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Definition and weak stability of nonconservative products
• Linearized implicit time advancing and defect correction applied to sediment transport simulations
• Two-dimensional simulation of debris flows over mobile bed: enhancing the TRENT2D model by using a well-balanced generalized Roe-type solver
• Generalized Roe schemes for 1D two-phase, free-surface flows over a mobile bed
• The Riemann problem for the one-dimensional, free-surface shallow water equations with a bed step: theoretical analysis and numerical simulations
• A Roe-type scheme for two-phase shallow granular flows over variable topography
• A two-dimensional finite volume morphodynamic model on unstructured triangular grids
• Solution of the Sediment Transport Equations Using a Finite Volume Method Based on Sign Matrix
• Averaged equations for inviscid disperse two-phase flow
• A Godunov method for the computation of erosional shallow water transients
• Riemann wave description of erosional dam-break flows
• Performance of numerical methods on the non‐unique solution to the Riemann problem for the shallow water equations
• Ensemble averaged and mixture theory equations for incompressible fluid—particle suspensions
• A two-fluid model for avalanche and debris flows
• On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
• Rheological stratification in experimental free-surface flows of granular–liquid mixtures

This page was built for publication: A closure-independent generalized Roe solver for free-surface, two-phase flows over mobile bed