The Application of Adaptive Mesh Refinement to the Numerical Simulation of Compressible Flow,

Abstract

This article is based on the adaptive mesh refinement calculation methods developed by M.J.Berger and J.Oliger. It opts for the use of the concept of numerous units formed into a grid, used in solving hyperbolic type equation sets. It combines finite difference forms, opts for the use of Richardson extrapolation techniques to automatically carry out local truncation error estimates, and, for regions with low accuracy, produces new fine mesh local refinements or eliminates old fine mesh refinements which are no longer needed, in order to reach, in the minimum amount of operations, the specified accuracy requirements. Grids are capable of going down into a layer on layer refinement. On the basis of the layered sequence of coverage, each individual grid is a rectangular uniform grid or mesh in any direction desired. This set of algorithms is independent of difference forms used in solutions, is very easy, and combines various types of forms. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Nov 17, 1994
Accession Number
ADA289595

Entities

People

  • Jianxiong Shen
  • Lanjie Huang

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Intelligence
  • Boundaries
  • Compressible Flow
  • Differential Equations
  • Discontinuities
  • Dispersions
  • Equations
  • Errors
  • Euler Equations
  • Flow
  • Partial Differential Equations
  • Shock
  • Shock Waves
  • Simulations
  • Standards
  • Two Dimensional
  • Waves

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Systems Analysis and Design