Preconditioned spectral multi-domain discretization of the incompressible Navier-Stokes equations

DOI10.1016/j.jcp.2004.05.011zbMath1195.76261OpenAlexW2023700051MaRDI QIDQ703450

Marcello Manna, Michel O. Deville, Andrea Vacca

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.05.011

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Direct numerical and large eddy simulation of turbulence (76F65) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

Deflation-accelerated preconditioning of the Poisson-Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method ⋮ A nonoverlapping domain decomposition method for Legendre spectral collocation problems ⋮ Factorizing the factorization -- a spectral-element solver for elliptic equations with linear operation count ⋮ A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations ⋮ Pulsating spiral Poiseuille flow

Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains
• Spectral methods for problems in complex geometries
• Spectral approximation for elliptic boundary value problems
• Schur complement domain decomposition algorithms for spectral methods
• Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer
• A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations
• A spectral multidomain method for the numerical simulation of turbulent flows
• Unstructured spectral element methods for simulation of turbulent flows
• Overlapping Schwarz methods for unstructured spectral elements
• Algebraic Two-Level Preconditioners for the Schur Complement Method
• A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
• Direct simulation of a turbulent boundary layer up to R_θ = 1410
• An Optimal Domain Decomposition Preconditioner for the Finite Element Solution of Linear Elasticity Problems
• A dynamic subgrid-scale eddy viscosity model
• Efficient Variants of the Vertex Space Domain Decomposition Algorithm
• Timely Communication: Diagonal Edge Preconditioners in p-version and Spectral Element Methods
• The Spectral Projection Decomposition Method for Elliptic Equations in Two Dimensions
• Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• High-Order Methods for Incompressible Fluid Flow
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Turbulence statistics in fully developed channel flow at low Reynolds number
• On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
• A Polylogarithmic Bound for an Iterative Substructuring Method for Spectral Elements in Three Dimensions
• Simulation of boundary layer transition induced by periodically passing wakes
• Fast parallel direct solvers for coarse grid problems

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