Weighted Compact Scheme

Abstract

In this paper a new class of finite difference schemes - the Weighted Compact Schemes are proposed. According to the idea of the WENO schemes, the Weighted Compact Scheme is constructed by a combination of the approximations of derivatives on candidate stencils with properly assigned weights so that the non-oscillatory property is achieved when discontinuities appear. The primitive function reconstruction method of ENO schemes is applied to obtain the conservative form of the Weighted Compact Scheme. This new scheme not only preserves the characteristic of standard compact schemes and achieves high order accuracy and high resolution using a compact stencil, but also can accurately capture shock waves and discontinuities without oscillation. Numerical examples show the new scheme is very promising and successfill.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2001
Accession Number
ADP013630

Entities

People

  • Chaoqun Liu
  • Hua Shan
  • Li Jiang

Organizations

  • University of Texas at Arlington

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Convection
  • Discontinuities
  • Equations
  • Errors
  • Euler Equations
  • Flow
  • High Resolution
  • Mach Number
  • Measurement
  • Oscillation
  • Shock
  • Shock Tubes
  • Shock Waves
  • Simulations
  • Standards

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)