Non-Oscillatory Central Schemes for One- and Two-Dimensional MHD Equations. II: High-Order Semi-Discrete Schemes

Abstract

We present a new family of high-resolution, non-oscillatory semi-discrete central schemes for the approximate solution of the ideal Magnetohydrodynamics (MHD) equations. This is the second part of our work, where we are passing from the fully-discrete, staggered schemes to a semi-discrete formulation. This semi-discrete formulation retains the simplicity of fully-discrete central schemes while enhancing efficiency and adding versatility. The semi-discrete algorithm offers a wider range of options to implement its two key steps: non-oscillatory reconstruction and evolution. Along with the description of the numerical methods employed, we present several prototype MHD problems.

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Document Details

Document Type
Technical Report
Publication Date
Jun 20, 2004
Accession Number
ADA448180

Entities

People

  • Eitan Tadmor
  • Jorge Balbas

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Electronic Mail
  • Equations
  • High Resolution
  • Integrals
  • Mach Number
  • Magnetic Fields
  • Mathematics
  • Partial Differential Equations
  • Shock Tubes
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Software Engineering