Metrics for performance quantification of adaptive mesh refinement

DOI10.1007/s10915-021-01423-0zbMath1471.65133OpenAlexW3138744276MaRDI QIDQ2023701

Jörn Behrens, Nicole Beisiegel, Cristóbal E. Castro

Publication date: 3 May 2021

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

Full work available at URL: https://doi.org/10.1007/s10915-021-01423-0

zbMATH Keywords

adaptive mesh refinementshallow water equationdiscontinuous Galerkin methodscomputational efficiencymetrics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Meteorology and atmospheric physics (86A10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

An oscillation-free discontinuous Galerkin method for shallow water equations ⋮ An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes ⋮ Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations

Uses Software

• HE-E1GODF
• AMATOS

Cites Work

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• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Some exact solutions to the nonlinear shallow-water wave equations
• Finite Volume Methods for Hyperbolic Problems
• A Convergent Adaptive Algorithm for Poisson’s Equation
• High-order schemes for resolving waves: Number of points per wavelength

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