Spectral element methods for large scale parallel Navier-Stokes calculations

DOI10.1016/S0045-7825(94)80009-XzbMath0826.76060OpenAlexW2079728181MaRDI QIDQ1892445

Paul F. Fischer, Einar M. Rønquist

Publication date: 14 June 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(94)80009-x

zbMATH Keywords

boundary layercomplex domainscoarse-grid problemfind-grid problemIntel Delta machinelocal low-order finite element preconditionerstwo-level iteration scheme

Mathematics Subject Classification ID

Related Items (31)

Balancing Neumann-Neumann methods for incompressible Stokes equations ⋮ Spectral-element preconditioners for the Uzawa pressure operator applied to incompressible flows ⋮ UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM ⋮ A spectral element methodology tuned to parallel implementations ⋮ Adaptive mesh strategies for the spectral element method ⋮ First instability of the flow of shear-thinning and shear-thickening fluids past a circular cylinder ⋮ Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity ⋮ An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations ⋮ Low-Order Preconditioning of High-Order Triangular Finite Elements ⋮ Preconditioned conjugate residual methods for mixed spectral discretizations of elasticity and Stokes problems ⋮ An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a Fourier spectral/\textit{hp} element method and MPI virtual topologies ⋮ Laminar flow of viscous fluid around elliptical contours at an angle of attack ⋮ A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints ⋮ A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations ⋮ Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes ⋮ Neumann-Neumann algorithms for spectral elements in three dimensions ⋮ Overlapping Schwarz methods for unstructured spectral elements ⋮ Parallel iterative finite-element algorithms for the Navier-Stokes equations with nonlinear slip boundary conditions ⋮ Vortex cluster arising from an axisymmetric inertial wave attractor ⋮ Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature ⋮ Algebraic fractional-step schemes with spectral methods for the incompressible Navier--Stokes equations ⋮ Algebraic multigrid for higher-order finite elements ⋮ Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes ⋮ Linear instability analysis of low- incompressible flow over a long rectangular finite-span open cavity ⋮ Overlapping Schwarz methods for mixed linear elasticity and Stokes problems ⋮ Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations ⋮ Local and Parallel Finite Element Algorithms for the Stokes Equations with Nonlinear Slip Boundary Conditions ⋮ Indefinite overlapping Schwarz methods for time-dependent Stokes problems ⋮ Hybrid multigrid/Schwarz algorithms for the spectral element method ⋮ A dual-primal FETI method for incompressible Stokes equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chebyshev collocation solutions of the Navier-Stokes equations using multi-domain decomposition and finite element preconditioning
• Parallel spectral element solution of the Stokes problem
• Spectral approximation of the periodic nonperiodic Navier-Stokes equations
• Spectral methods for problems in complex geometries
• An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
• Domain Decomposition with Local Mesh Refinement
• Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations

This page was built for publication: Spectral element methods for large scale parallel Navier-Stokes calculations