WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-dimensional Compressible Two-medium Flows

Abstract

High order path-conservative schemes have been developed for solving nonconservative hyperbolic systems in [32, 7, 6]. Recently, it has been observed in [3] that this approach may have some computational issues and shortcomings. In this paper, a modification to the high order path-conservative scheme in [7], based on the high order finite volume WENO scheme with subcell resolution and utilizing the exact Riemann solver to catch the right paths at the discontinuities, is proposed to improve its computational performance and to overcome some of the shortcomings. An application to one-dimensional compressible two-medium flows of nonconservative or primitive Euler equations is carried out to show the effectiveness of this new approach.

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Document Details

Document Type
Technical Report
Publication Date
Nov 12, 2011
Accession Number
ADA557668

Entities

People

  • Chi-Wang Shu
  • Mengping Zhang
  • Tao Xiong

Organizations

  • Brown University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Computations
  • Discontinuities
  • Electronic Mail
  • Equations
  • Euler Equations
  • Flow
  • Fluids
  • Integrals
  • Materials
  • Mathematics
  • Path Integrals
  • Shock Tubes
  • Shock Waves
  • Standards

Readers

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