Chebyshev collocation solutions of the Navier-Stokes equations using multi-domain decomposition and finite element preconditioning

DOI10.1016/0021-9991(91)90281-OzbMath0726.76066OpenAlexW2062519299MaRDI QIDQ802973

P. Demaret, Michel O. Deville

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90281-o

zbMATH Keywords

Chebyshev polynomialsprojection methodsteady Navier-Stokes equationscollocation schemeNewton's linearization9-nodes Lagrangian elementstandard Galerkin finite element method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (18)

Spectral element methods for large scale parallel Navier-Stokes calculations ⋮ Preconditioned Chebyshev collocation methods and triangular finite elements ⋮ Low-Order Preconditioning of High-Order Triangular Finite Elements ⋮ Chebyshev pseudospectral multi-domain technique for viscous flow calculation ⋮ A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two nonperiodic directions ⋮ Thermal convection solutions by Chebyshev pseudospectral multi-domain decomposition and finite element preconditioning ⋮ An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. I: Axisymmetric cases ⋮ A CFD-Aided Galerkin Method for Global Linear Instability Analysis ⋮ High accuracy flow simulations: advances and challenges for future needs in aeronautics ⋮ Stability analysis in spanwise-periodic double-sided lid-driven cavity flows with complex cross-sectional profiles ⋮ A multidomain spectral method for solving elliptic equations ⋮ Chebyshev collocation method and multi-domain decomposition for Navier- Stokes equations in complex curved geometries ⋮ Receptivity of the turbulent precessing vortex core: synchronization experiments and global adjoint linear stability analysis ⋮ Chebyshev collocation solutions of flow problems ⋮ The piecewise-linear finite volume scheme: The best known lowest-order preconditioner for the \(\frac{d^2}{dx^2}\) Chebyshev spectral operator ⋮ Solving hyperbolic partial differential equations using a highly accurate multidomain bivariate spectral collocation method ⋮ A noniterative solution approach for parallel pseudospectral domain decomposition ⋮ A direct spectral domain decomposition method for the computation of rotating flows in a T-shape geometry

Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
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• Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
• Chebyshev pseudospectral solution of the Stokes equations using finite element preconditioning
• Thermal convection solutions by Chebyshev pseudospectral multi-domain decomposition and finite element preconditioning
• Spectral methods for problems in complex geometries
• Preconditioned minimal residual methods for Chebyshev spectral calculations
• 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

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