An object-oriented toolbox for spectral element analysis

DOI10.1023/A:1025677921253zbMath0955.74077OpenAlexW1600383739MaRDI QIDQ1976420

Yves Dubois-Pèlerin, Vincent van Kemenade, Michel O. Deville

Publication date: 19 September 2000

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

Full work available at URL: https://doi.org/10.1023/a:1025677921253

zbMATH Keywords

parallelismobject-oriented designC++mortar element methodnumerical efficiencyspectral element methodslarge-scale applicationsobject-oriented classes

Mathematics Subject Classification ID

Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.) (68N19) Spectral methods applied to problems in fluid mechanics (76M22) Spectral and related methods applied to problems in solid mechanics (74S25) Parallel numerical computation (65Y05)

Related Items (11)

Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: applications and stability. ⋮ On instability characteristics of isolated vortices and models of trailing-vortex systems ⋮ Computational performance of a parallelized three-dimensional high-order spectral element toolbox ⋮ Simulation of flows of viscoelastic fluids at high Weissenberg number using a filter-based stabilization of the spectral element method ⋮ High order \(C^0\)-continuous Galerkin schemes for high order PDEs, conservation of quadratic invariants and application to the Korteweg-de Vries model ⋮ A new extended matrix logarithm formulation for the simulation of viscoelastic fluids by spectral elements ⋮ High accuracy flow simulations: advances and challenges for future needs in aeronautics ⋮ Geophysical-astrophysical spectral-element adaptive refinement (GASpAR): object-oriented \(h\)-adaptive fluid dynamics simulation ⋮ Numerical evaluation of the accuracy and stability properties of high-order direct Stokes solvers with or without temporal splitting ⋮ Large eddy simulation of the differentially heated cubic cavity flow by the spectral element method ⋮ Fluid-structure interaction by the spectral element method

Uses Software

• Diffpack
• PETSc
• Godess

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