Unification of Some Advection Schemes in Two Dimensions.

Abstract

In this paper a relationship between two approaches towards construction of genuinely two-dimensional upwind advection schemes is established. One of these approaches is of the control volume type applicable on structured cartesian meshes. It resulted (see 14. 15) in the compact high resolution schemes capable of maintaining second order accuracy in both homogeneous and inhomogeneous cases. Another one is the fluctuation splitting approach (see 11 3 12 17). which is well suited for triangular (and possibly) unstructured meshes. Understanding the relationship between these two approaches allows us to formulate here a new fluctuation splitting high resolution (i.e. possible use of artificial compression while maintaining positivity property) scheme. This scheme is shown to be linearity preserving in inhomogeneous as well as homogeneous cases.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1995
Accession Number
ADA293130

Entities

People

  • D. Sidilkover
  • P. L. Roe

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Advection
  • Boundaries
  • Compression
  • Computers
  • Construction
  • Contracts
  • Diffusion
  • Engineering
  • Geometry
  • High Resolution
  • Linearity
  • Splitting
  • Steady State
  • Triangles
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Statistical inference.