A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows. II: A Semi-Structured Method.

Abstract

We present a Chebyshev multidomain method that can solve systems of hyperbolic equations in conservation form on an unrestricted quadrilateral subdivision of a domain. Within each subdomain the solutions and fluxes are approximated by a staggered-grid Chebyshev method. Thus, the method is unstructured in terms of the subdomain decomposition, but strongly structured within subdomains. Communication between subdomains is done by a mortar method in such a way that the method is globally conservative. The method is applied to both linear and nonlinear test problems and spectral accuracy is demonstrated.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1996
Accession Number
ADA309458

Entities

People

  • David A. Kopriva

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Cauchy Problem
  • Compressible Flow
  • Computations
  • Equations
  • Flow
  • Free Stream
  • Gas Dynamics
  • Geometry
  • Grids
  • Mach Number
  • Subsonic Flow
  • Topology
  • Transonic Flow
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Graph Algorithms and Convex Optimization.