Mathematical Analysis of the Navier-Stokes Equations with Non Standard Boundary Conditions.

Abstract

One of the major applications of the Domain Decomposition Time Marching Algorithm is the coupling of the Navier-Stokes systems with Boltzmann equations in order to compute transitional flows. Another important application, is the coupling of a global Navier-Stokes problem with a local one in order to use different modelizations and/or discretizations. Both of these applications involve a global Navier-Stokes system with non standard boundary conditions. The purpose of this work is to prove using the classical Leray-Schauder theory that these boundary conditions are admissible and lead to a well posed problem. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1995
Accession Number
ADA298970

Entities

People

  • M. D. Tidriri

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boltzmann Equation
  • Boundaries
  • Couplings
  • Decomposition
  • Engineering
  • Equations
  • Friction
  • Heat Flux
  • Mathematical Analysis
  • Navier Stokes Equations
  • Numerical Analysis
  • Point Theorem
  • Standards
  • Theorems

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)