Efficient GPU implementation of multidimensional incomplete Riemann solvers for hyperbolic nonconservative systems: applications to shallow water systems with topography and dry areas
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Publication:2149512
DOI10.1007/s10915-022-01880-1zbMath1492.76086OpenAlexW4282973600WikidataQ114225559 ScholiaQ114225559MaRDI QIDQ2149512
Kleiton A. Schneider, José M. Gallardo, C. Escalante
Publication date: 29 June 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01880-1
numerical diffusionwell-balancingmultidimensional Riemann solvercircular dam-breakHLL finite volume schemenonconservative shallow water equationsnumerical viscosity matrix
Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)
Related Items (2)
A well-balanced finite volume scheme based on planar Riemann solutions for 2D shallow water equations with bathymetry ⋮ A general vertical decomposition of Euler equations: multilayer-moment models
Uses Software
Cites Work
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- Well-balanced schemes for the Euler equations with gravitation
- Multidimensional HLLC Riemann solver for unstructured meshes -- with application to Euler and MHD flows
- Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes
- A simple two-dimensional extension of the HLL Riemann solver for hyperbolic systems of conservation laws
- A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function
- Two-dimensional compact third-order polynomial reconstructions. Solving nonconservative hyperbolic systems using GPUs
- High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
- Wave propagation algorithms for multidimensional hyperbolic systems
- Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes
- A path conservative finite volume method for a shear shallow water model
- The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems
- Polynomial and rational matrices. Applications in dynamical systems theory
- 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
- Multidimensional upwinding. I: The method of transport for solving the Euler equations
- Multidimensional upwinding. II: Decomposition of the Euler equations into advection equations
- Upwind methods for hyperbolic conservation laws with source terms
- Multidimensional Riemann problem with self-similar internal structure. Part III: A multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems
- Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics
- Semi-implicit finite difference methods for the two-dimensional shallow water equations
- Definition and weak stability of nonconservative products
- A two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics
- Efficient multilayer shallow-water simulation system based on gpus
- Bounds for wave speeds in the Riemann problem: direct theoretical estimates
- A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers
- Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems
- On a class of two-dimensional incomplete Riemann solvers
- Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme
- A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
- A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows
- A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations
- Well-balanced schemes to capture non-explicit steady states: Ripa model
- Relation between PVM schemes and simple Riemann solvers
- Multidimensional Upwinding
- Well-Balanced Schemes and Path-Conservative Numerical Methods
- A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
- On some fast well-balanced first order solvers for nonconservative systems
- Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
- A high-resolution wetting and drying algorithm for free-surface hydrodynamics
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- On Godunov-Type Methods for Gas Dynamics
- On the Choice of Wavespeeds for the HLLC Riemann Solver
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- A numerical model for the flooding and drying of irregular domains
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Leverrier’s Algorithm: A New Proof and Extensions
- Finite volume evolution Galerkin methods for Euler equations of gas dynamics
- A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity
- On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- Two-dimensional Riemann solver for Euler equations of gas dynamics
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