A spectral multidomain method for the numerical simulation of turbulent flows

DOI10.1006/jcph.1997.5780zbMath0904.76064OpenAlexW2084304042WikidataQ56996600 ScholiaQ56996600MaRDI QIDQ1372012

Alfio M. Quarteroni, Alfredo Pinelli, Andrea Vacca

Publication date: 28 December 1998

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

Full work available at URL: https://doi.org/10.1006/jcph.1997.5780

zbMATH Keywords

exponential convergenceplane channel flowprimitive variable formulationGalerkin approximationprojection decomposition methodcombined Fourier-Legendre spectral methodsemi-implicit pressure correction schemeSteklov-Poincaré equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Shear flows and turbulence (76F10)

Related Items

A weak Legendre collocation spectral method for the solution of the incompressible Navier-Stokes equations in unstructured quadrilateral subdomains., Preconditioned spectral multi-domain discretization of the incompressible Navier-Stokes equations, A multidomain spectral method for solving elliptic equations, A 2D compact fourth-order projection decomposition method, Solving hyperbolic partial differential equations using a highly accurate multidomain bivariate spectral collocation method, An application of domain decomposition methods with non-conforming spectral element/Fourier expansions for the incompressible Navier-Stokes equations, Factorization methods for the numerical approximation of Navier-Stokes equations

Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• On the rotation and skew-symmetric forms for incompressible flow simulations
• A spectral collocation method for the Navier-Stokes equations
• On the construction of a well-conditioned basis for the projection decomposition method
• Unstructured spectral element methods for simulation of turbulent flows
• A numerical method for solving incompressible viscous flow problems
• On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
• A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
• The Spectral Projection Decomposition Method for Elliptic Equations in Two Dimensions
• Mesh Refinement
• The minimal flow unit in near-wall turbulence