Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs

DOI10.1016/J.COMPFLUID.2016.04.032zbMath1390.76906OpenAlexW2345637934MaRDI QIDQ1646982

Li Yuan, Wei Liu, Jian Zhai

Publication date: 26 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2016.04.032

zbMATH Keywords

two-phasewell-balanced propertymulti-GPUNOCshallow granular flow

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Granular flows (76T25) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (4)

A scalable well-balanced numerical scheme for the modeling of two-phase shallow granular landslide consolidation ⋮ A High Order Central DG method of the Two-Layer Shallow Water Equations ⋮ A discrete Boltzmann equation model for two-phase shallow granular flows ⋮ A predictor-corrector scheme for simulation of two-phase granular flows over a moved bed with a variable topography

Uses Software

• CUDA
• PVM

Cites Work

• Unnamed Item
• Unnamed Item
• A kinetic flux-vector splitting method for single-phase and two-phase shallow flows
• Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system
• A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers
• Non-oscillatory central differencing for hyperbolic conservation laws
• ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• Upwind methods for hyperbolic conservation laws with source terms
• Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.
• The space-time CE/SE method for solving single and two-phase shallow flow models
• Computational and experimental studies of rapid free-surface granular flows around obstacles
• A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
• Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves
• High order finite difference WENO schemes with the exact conservation property for the shallow water equations
• Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
• A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
• A Roe-type scheme for two-phase shallow granular flows over variable topography
• The motion of a finite mass of granular material down a rough incline
• High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws
• Gravity-driven free surface flow of granular avalanches over complex basal topography
• A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
• The Savage-Hutter theory: A system of partial differential equations for avalanche flows of snow, debris, and mud
• Channelized free-surface flow of cohesionless granular avalanches in a chute with shallow lateral curvature
• A two-fluid model for avalanche and debris flows
• Shock-capturing and front-tracking methods for granular avalanches.

This page was built for publication: Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs