A Cartesian Grid Approach with Hierarchical Refinement for Compressible Flows

Abstract

Many numerical studies of flows that involve complex geometries are limited by the difficulties in generating suitable grids. We present a Cartesian boundary scheme for two-dimensional, compressible flows which is unfettered by the need to generate a computational grid and so it may be used, routinely, even for the most awkward of geometries. In essence, an arbitrary-shaped body is allowed to blank out some region of a background Cartesian mesh and the resultant cut-cells are singled out for special treatment. This done within a finite-volume framework and so, in principle, any explicit flux-based integration scheme can take advantage of this method for enforcing solid boundary conditions. For best effect, the present Cartesian boundary scheme has been combined with a sophisticated, local mesh refinement scheme, and a number of examples are shown in order to demonstrate the efficacy of the combined algorithm for simulations of shock interaction phenomena

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1994
Accession Number
ADA285080

Entities

People

  • James J. Quirk

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Classification
  • Compressible Flow
  • Computations
  • Computers
  • Contracts
  • Differential Equations
  • Engineering
  • European Communities
  • Flow
  • Flow Fields
  • Geometry
  • Parallel Computing
  • Shock Waves
  • Simulations
  • Two Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)