Incompressible Flows as a System of Conservation Laws with a Constraint,

Abstract

Some inadequacies of conventional formulations of inviscid hydrodynamics with regard to the solution of free boundary problems are analyzed. An alternative algorithmic formulation which produces the flow field incrementally in time is proposed. In this formulation paramountcy is given to the equations of mass and momentum conservation, which are solved subject to a constraint on the density. Energy decay is possible. The new formulations is examined with regard to its consistency with standard formulations when flow quantities are sufficiently smooth. Extensions to the treatment of stratified incompressible flows and transonic flows are discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 11, 1978
Accession Number
ADA065133

Entities

People

  • Joel C. W. Rogers

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Consistency
  • Differential Equations
  • Energy Conservation
  • Equations
  • Flow
  • Flow Fields
  • Hydrodynamics
  • Incompressible Flow
  • Layers
  • Mechanics
  • Momentum
  • Physics
  • Physics Laboratories
  • Steady State
  • Stratified Fluids

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Operations Research
  • Theoretical Analysis.