Geophysical-astrophysical spectral-element adaptive refinement (GASpAR): object-oriented \(h\)-adaptive fluid dynamics simulation

DOI10.1016/j.jcp.2005.10.031zbMath1140.86300arXivmath/0507402OpenAlexW2043732589MaRDI QIDQ2489026

Paul F. Fischer, Duane Rosenberg, Aimé Fournier, Annick Pouquet

Publication date: 16 May 2006

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507402

zbMATH Keywords

AMRNumerical simulationSpectral elementAdaptive mesh

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) 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) Computational methods for problems pertaining to geophysics (86-08) Computational methods for problems pertaining to astronomy and astrophysics (85-08)

Related Items (14)

Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations ⋮ A robust moving mesh method for spectral collocation solutions of time-dependent partial differential equations ⋮ Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations ⋮ The estimation of truncation error by \(\tau\)-estimation for Chebyshev spectral collocation method ⋮ Fourier continuation method for incompressible fluids with boundaries ⋮ Effective numerical viscosity in spectral multidomain penalty method-based simulations of localized turbulence ⋮ A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods ⋮ A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin ⋮ Exact calculation of Fourier series in nonconforming spectral-element methods ⋮ A compatible and conservative spectral element method on unstructured grids ⋮ Level-by-level artificial viscosity and visualization for MHD simulation with adaptive mesh refinement ⋮ Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations ⋮ Semi-implicit spectral collocation methods for reaction-diffusion equations on annuli ⋮ Dynamically adaptive spectral-element simulations of 2D incompressible Navier–Stokes vortex decays

Uses Software

• GASpAR

Cites Work

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