Explicit Integration Schemes for the Hyperbolized Navier-Stokes Equations

Abstract

Robust and accurate schemes for various 1-D hyperbolized dissipative systems with stiff source terms were developed and tested with success. A Euler preconditioning matrix that maintains the largest possible angle between the eigenvectors of the preconditioned system for the entire Mach number range, was developed in order to prevent the observed stagnation point instability, and tested with success. A Navier Stokes preconditioning matrix that restrains stable and effective for all Mach numbers and Reynolds numbers was developed and tested with success.

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Document Details

Document Type
Technical Report
Publication Date
Mar 27, 1997
Accession Number
ADA337873

Entities

People

  • Bram van Leer
  • Philip L. Roe

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Eigenvectors
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • High Resolution
  • Mach Number
  • Mathematics
  • Navier Stokes Equations
  • Relaxation Time
  • Reynolds Number
  • Stagnation Point
  • Universities

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Mechanics and Fluid Dynamics.
  • Linear Algebra