Chebyshev collocation method and multi-domain decomposition for Navier- Stokes equations in complex curved geometries

DOI10.1016/S0021-9991(83)71105-8zbMath0770.76051OpenAlexW2000055480MaRDI QIDQ1802286

C. R. Schneidesch, Michel O. Deville

Publication date: 9 September 1993

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

Full work available at URL: https://doi.org/10.1016/s0021-9991(83)71105-8

zbMATH Keywords

Stokes problemsquadrilateralsGalerkin finite element techniquecurvilinear grid generationGordon transfinite interpolationRichardson procedure

Mathematics Subject Classification ID

Related Items (11)

A spectral element formulation of the immersed boundary method for Newtonian fluids ⋮ Stabilization of spectral methods by finite element bubble functions ⋮ Multidomain decomposition of curved geometries in the Chebyshev collocation method for thermal problems ⋮ Preconditioned Chebyshev collocation methods and triangular finite elements ⋮ Legendre spectral element method with nearly incompressible materials ⋮ A weak Legendre collocation spectral method for the solution of the incompressible Navier-Stokes equations in unstructured quadrilateral subdomains. ⋮ Moving overlapping grid methodology of spectral accuracy for incompressible flow solutions around rigid bodies in motion ⋮ Solution of moving-boundary problems by the spectral element method ⋮ Stability analysis in spanwise-periodic double-sided lid-driven cavity flows with complex cross-sectional profiles ⋮ A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations ⋮ A direct spectral domain decomposition method for the computation of rotating flows in a T-shape geometry

Cites Work

• Unnamed Item
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• Chebyshev collocation solutions of flow problems
• Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
• Chebyshev collocation solutions of the Navier-Stokes equations using multi-domain decomposition and finite element preconditioning
• An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
• Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
• A stable finite element for the Stokes equations
• Chebyshev pseudospectral solution of the incompressible Navier-Stokes equations in curvilinear domains
• Chebyshev pseudospectral solution of the Stokes equations using finite element preconditioning
• Spectral methods for problems in complex geometries
• An algorithm for the evaluation of multidimensional (direct and inverse) discrete Chebyshev transforms
• High-order splitting methods for the incompressible Navier-Stokes equations
• Steady viscous flows by compact differences in boundary-fitted coordinates
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• Boundary and interface conditions within a finite element preconditioner for spectral methods
• A Minimal Storage Implementation of the Minimum Degree Algorithm
• Fourier Analysis of Finite Element Preconditioned Collocation Schemes
• Numerical Solution of the Navier-Stokes Equations by the Finite Element Method

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