Canonical Forms of Multidimensional Steady Inviscid Flows

Abstract

Canonical forms and canonical variables for inviscid flow problems are derived. In these forms the components of the system governed by different types of operators (elliptic and hyperbolic) are separated. Both the incompressible and compressible cases are analyzed and their similarities and differences are discussed. The canonical forms obtained are block upper triangular operator form in which the elliptic and non-elliptic parts reside in different blocks. The full nonlinear equations are treated without using any linearization process. This form enables a better analysis of the equations as well as better numerical treatment. These forms are the analog of the decomposition of the one dimensional Euler equations into characteristic directions and Riemann invariants.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA270502

Entities

People

  • Shlomo Ta'asan

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Decomposition
  • Differential Equations
  • Engineering
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Hydrodynamics
  • Inviscid Flow
  • Notation
  • Partial Differential Equations
  • Steady State
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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