On Operator Splitting for Unsteady Boundary Value Problems.

Abstract

A frozen Jacobian (locally linearized) analysis and again matrix approach is used to argue that a certain operator splitting of the two-dimensional, conservation form, Navier-Stokes equations is second-order accurate. MacCormack's intuitive result, which through the above approach can rigorously be shown valid only for linear systems, is also true in the presence of nonlinearity. Additional second-order splittings are obtained for the case in which derivative-free source terms are present in the fluid dynamics equations. Some discussion of operator optimality is given.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1987
Accession Number
ADA184281

Entities

People

  • Charlie H. Cooke

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Army Aviation
  • Boundary Value Problems
  • Classification
  • Commerce
  • Computational Fluid Dynamics
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Geometry
  • Jet Propulsion
  • Linear Systems
  • Molecular Dynamics
  • Navier Stokes Equations
  • Splitting
  • Test And Evaluation
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

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