Splitting Methods for the Numerical Solution of the Incompressible Navier-Stokes Equations.

Abstract

Splitting methods provide efficient tools for solving linear and nonlinear time dependent problems modelled by partial differential equations. In this report we discuss the numerical solution of the Navier-Stokes equations for incompressible viscous fluids by such methods. The splitting permits decoupling the two main difficulties in the problem, namely the nonlinearity and the incompressibility. Actually these splitting methods have a broad range of applicability and can be applied for example, to the solution of eigenvalue problems. Originator supplied keywords include: operator splitting methods, nonlinear least squares, preconditioned conjugate gradient algorithms, finite element approximations, eigenvalue calculation, and variational methods.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1984
Accession Number
ADA147463

Entities

People

  • R. Glowinski

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Mathematics
  • Navier Stokes Equations
  • New York
  • Numerical Analysis
  • Partial Differential Equations
  • Steady State
  • Two Dimensional
  • United States
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)