A weak Legendre collocation spectral method for the solution of the incompressible Navier-Stokes equations in unstructured quadrilateral subdomains.
type: Item
instance of: scholarly article
title: A weak Legendre collocation spectral method for the solution of the incompressible Navier-Stokes equations in unstructured quadrilateral subdomains.
zbMATH Open document ID: 1047.76090
DOI: 10.1016/S0021-9991(03)00350-4
author: Dimitris Kondaxakis
author: S. Tsangaris
published in: Journal of Computational Physics
publication date: 2004-01-14T00:00:00Z
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 2026642
zbMATH Keywords: Weak collocation Legendre method
zbMATH Keywords: Domain decomposition
zbMATH Keywords: Influence matrix
zbMATH Keywords: Axisymmetric simulation
MaRDI profile type: Publication
cites work: Q3776818
cites work: Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
cites work: Unstructured spectral element methods for simulation of turbulent flows
cites work: Spectral element simulations of laminar and turbulent flows in complex geometries
cites work: A spectral multidomain method for the numerical simulation of turbulent flows
cites work: A numerical simulation of the appearance of chaos in finite-length Taylor-Couette flow
cites work: An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
cites work: A spectral element method for fluid dynamics: Laminar flow in a channel expansion
cites work: Multidomain spectral solution of compressible viscous flows
cites work: A conservative staggered-grid Chebyshev multidomain method for compressible flows
cites work: A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
cites work: Boundary conditions for incompressible flows
cites work: High-order splitting methods for the incompressible Navier-Stokes equations
cites work: An improvement of fractional step methods for the incompressible Navier- Stokes equations
cites work: An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations
cites work: Accurate projection methods for the incompressible Navier-Stokes equations
cites work: A spectral projection method for the simulation of complex three-dimensional rotating flows
cites work: Effective numerical algorithms for the solution of algebraic systems arising in spectral methods
cites work: Q3220214
cites work: Improvements in spectral collocation discretization through a multiple domain technique
cites work: Spectral multi-domain for large-scale fluid dynamic simulations
cites work: Spectral methods and their implementation to solution of aerodynamic and fluid mechanic problems
cites work: A Variational Formulation for the Chebyshev Pseudospectral Approximation of Neumann Problems
cites work: Application of the spectral multidomain method to the Navier-Stokes equations
cites work: A divergence-free multidomain spectral solver of the Navier-Stokes equations in geometries of high aspect ratio
cites work: A three-dimensional pseudospectral method for rotating flows in a cylinder
cites work: Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods
cites work: Numerical investigation of transitional and weak turbulent flow past a sphere
cites work: The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
cites work: On the rotation and skew-symmetric forms for incompressible flow simulations
cites work: Chebyshev collocation method and multi-domain decomposition for Navier- Stokes equations in complex curved geometries
cites work: A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
cites work: Q4938743
cites work: On the solution of the Navier-Stokes equations using Chebyshev projection schemes with third-order accuracy in time
description: scientific article; zbMATH DE number 2026642