Performance and scalability improvements for discontinuous Galerkin solutions to conservation laws on unstructured grids

DOI10.1007/s10915-016-0249-yzbMath1359.65195OpenAlexW2499620565MaRDI QIDQ514454

S. R. Brus, Joannes J. Westerink, Clint N. Dawson, Damrongsak Wirasaet

Publication date: 2 March 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0249-y

zbMATH Keywords

performancefinite element methodconservation lawsnumerical examplesshallow water equationsparallel computingdiscontinuous Galerkin

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic conservation laws (35L65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Complexity and performance of numerical algorithms (65Y20)

Related Items (3)

Discontinuous Galerkin formulation for 2D hydrodynamic modelling: trade-offs between theoretical complexity and practical convenience ⋮ High-order discontinuous Galerkin methods for coastal hydrodynamics applications ⋮ Performance comparison of HPX versus traditional parallelization strategies for the discontinuous Galerkin method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scalability of an unstructured grid continuous Galerkin based hurricane storm surge model
• A performance comparison of continuous and discontinuous finite element shallow water models
• Nodal discontinuous Galerkin methods on graphics processors
• Spectral methods on triangles and other domains
• Weighted essentially non-oscillatory schemes on triangular meshes
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Parallel, adaptive finite element methods for conservation laws
• An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions
• Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode
• Hp discontinuous Galerkin methods for advection dominated problems in shallow water flow
• A performance comparison of nodal discontinuous Galerkin methods on triangles and quadrilaterals
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Parallel Multilevel series k-Way Partitioning Scheme for Irregular Graphs

This page was built for publication: Performance and scalability improvements for discontinuous Galerkin solutions to conservation laws on unstructured grids