Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant

Abstract

In this paper, we further explore and apply our recent anti-diffusive flux corrected high order finite difference WENO schemes for conservation laws to compute the Saint-Venant system of shallow water equations with pollutant propagation, which is described by a transport equation. The motivation is that the high order anti-diffusive high order WENO scheme to the Saint-Venant system of shallow water equations with transport of pollutant achieves high resolution of the location and concentration of the pollutant.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2006
Accession Number
ADA458954

Entities

People

  • Chi-Wang Shu
  • Zhengfu Xu

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boltzmann Equation
  • Computational Fluid Dynamics
  • Computations
  • Discontinuities
  • Eigenvalues
  • Eigenvectors
  • Electronic Mail
  • Equations
  • Fluid Dynamics
  • High Resolution
  • Mathematics
  • Shallow Water
  • Transport Ships
  • Traveling Waves
  • Two Dimensional
  • Water

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Internal Combustion Engine (ICE) Technology.