Efficient 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 remains 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
ADA332506

Entities

People

  • Bram van Leer
  • Philip L. Roe

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Mach Number
  • Navier Stokes Equations
  • Partial Differential Equations
  • Physics Laboratories
  • Reynolds Number
  • Stagnation Point

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.
  • Linear Algebra