Second-Order Far Field Computational Boundary Conditions for Inviscid Duct Flow Problems

Abstract

Highly accurate far field computational boundary conditions for inviscid, two-dimensional isentropic duct flow problems are developed from analytic solutions of the linearized, second-order Euler equations. The Euler equations are linearized about a constant pressure, rectilinear flow condition. The boundary procedure can be used with any numerical Euler solution method and allows computational boundaries to be located extremely close to the nonlinear region of interest. Numerical results are presented which show that the boundary conditions and far field analytic solutions provide a smooth transition across a computational boundary to the true far field conditions at infinity. The cost of upgrading first-order boundary conditions to second-order is slight.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1990
Accession Number
ADA233143

Entities

People

  • August Verhoff

Organizations

  • McDonnell Aircraft Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeronautics
  • Aircrafts
  • Asymptotic Series
  • Biodiesels
  • Classification
  • Engineering
  • Equations
  • Euler Equations
  • Far Field
  • Field Conditions
  • Flow
  • Geometry
  • Mach Number
  • Mechanical Engineering
  • Pressure Distribution
  • Turbines
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

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