Computational and Theoretical Aspects of Nonlinear Partial Differential Equations

Abstract

This research centered around three topics in computational fluid dynamics. These were: schemes for the time dependent Navier Stokes equations, improved methods for the steady Navier-Stokes equations, and domain decomposition methods. (In the original proposal, the domain decomposition methods were referred to as overlapping grid methods.) All of these topics are coupled to the development faster algorithms for solving the systems of indefinite linear equations that arise from discretizations of the Navier Stokes equations. Significant results have been obtained in all of these areas.

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Document Details

Document Type
Technical Report
Publication Date
Apr 08, 1991
Accession Number
ADA238495

Entities

People

  • Bradley K. Plohr
  • John C. Strikwerda

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Science
  • Decomposition
  • Difference Equations
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Mathematics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Theorems

Readers

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