The HLL and HLLC Riemann Solvers

1997 ◽  
pp. 293-311 ◽  
Author(s):  
Eleuterio F. Toro
Keyword(s):  
Riemann Solvers

scholarly journals Time-varying Riemann solvers for conservation laws on networks

2009 ◽  
Vol 247 (2) ◽  
pp. 447-464 ◽  
Author(s):  
Mauro Garavello ◽  
Benedetto Piccoli
Keyword(s):  
Conservation Laws ◽  
Time Varying ◽  
Riemann Solvers

scholarly journals A Well-Balanced SPH-ALE Scheme for Shallow Water Applications

2021 ◽  
Vol 88 (3) ◽  
Author(s):  
Alberto Prieto-Arranz ◽  
Luis Ramírez ◽  
Iván Couceiro ◽  
Ignasi Colominas ◽  
Xesús Nogueira
Keyword(s):  
Shallow Water ◽  
Source Term ◽  
Arbitrary Lagrangian Eulerian ◽  
Flat Bottom ◽  
Riemann Solvers ◽  
Eulerian Formulation ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Numerical Fluxes ◽  
And Behavior

AbstractIn this work, a new discretization of the source term of the shallow water equations with non-flat bottom geometry is proposed to obtain a well-balanced scheme. A Smoothed Particle Hydrodynamics Arbitrary Lagrangian-Eulerian formulation based on Riemann solvers is presented to solve the SWE. Moving-Least Squares approximations are used to compute high-order reconstructions of the numerical fluxes and, stability is achieved using the a posteriori MOOD paradigm. Several benchmark 1D and 2D numerical problems are considered to test and validate the properties and behavior of the presented schemes.

Approximate Riemann solvers for the Godunov SPH (GSPH)

2014 ◽  
Vol 270 ◽  
pp. 432-458 ◽  
Author(s):  
Kunal Puri ◽  
Prabhu Ramachandran
Keyword(s):  
Riemann Solvers ◽  
Approximate Riemann Solvers

Relation between PVM schemes and simple Riemann solvers

2014 ◽  
Vol 30 (4) ◽  
pp. 1315-1341 ◽  
Author(s):  
Tomás Morales de Luna ◽  
Manuel J. Castro Díaz ◽  
Carlos Parés
Keyword(s):  
Riemann Solvers

scholarly journals AN EFFICIENT AND ROBUST GPGPU-BASED SHALLOW WATER MODEL

2020 ◽  
pp. 47
Author(s):  
Fatima-zahra Mihami ◽  
Volker Roeber
Keyword(s):  
Numerical Solution ◽  
Shallow Water ◽  
Computational Cost ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Water Model ◽  
Staggered Grid ◽  
Finite Volume Scheme ◽  
Flow Solver ◽  
Riemann Solvers

We present an efficient and robust numerical model for the solution of the Shallow Water Equations with the objective to develop the numerical foundation for an advanced free surface flow solver. The numerical solution is based on an explicit Finite Volume scheme on a staggered grid to ensure the conservation of mass and momentum across flow discontinuities and wet-dry transitions. This leads to an accurate numerical solution at low computational cost without the need for Riemann solvers. The efficiency of the lean numerical structure is further optimized through a CUDA-GPU implementation.Recorded Presentation from the vICCE (YouTube Link): https://youtu.be/xMnK_r7Tj1Q

scholarly journals The Clawpack 5.x software

2016 ◽  
Author(s):  
Kyle T Mandli ◽  
Aaron J Ahmadia ◽  
Marsha Berger ◽  
Donna Calhoun ◽  
David L George ◽  
...  
Keyword(s):  
High Resolution ◽  
Software Package ◽  
Finite Volume Methods ◽  
Development Model ◽  
Hyperbolic Partial Differential Equations ◽  
Current Development ◽  
Riemann Solvers ◽  
User Communities ◽  
Code Base ◽  
New Development

Clawpack is a software package designed to solve nonlinear hyperbolic partial differential equations using high-resolution finite volume methods based on Riemann solvers and limiters. The package includes a number of variants aimed at different applications and user communities. Clawpack has been actively developed as an open source project for over 20 years. The latest major release, Clawpack 5, introduces a number of new features and changes to the code base and a new development model based on GitHub and Git submodules. This article provides a summary of the most significant changes, the rationale behind some of these changes, and a description of our current development model.

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