High Order Numerical Methods for Convection Dominated Problems

Abstract

This project is about the algorithm development, analysis, implementation and application aspects of high order finite difference weighted essentially non-oscillatory (WENO) schemes, finite volume WENO schemes, discontinuous Galerkin finite element methods and spectral methods for solving convection dominated problems requiring long time integration and small dissipation/dispersion with discontinuous or high gradient solutions. Algorithm development and analysis, investigation about efficient implementation including parallel implementations, and applications in computational fluid dynamics, computational semiconductor device simulation and other areas, are performed. The achievement strengthens our objective to obtain powerful and reliable high order numerical algorithms and use them to solve convection dominated problems, especially those of army interest.

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Document Details

Document Type
Technical Report
Publication Date
Oct 19, 2004
Accession Number
ADA427595

Entities

People

  • Chi-Wang Shu

Organizations

  • Brown University

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Convection
  • Finite Element Analysis
  • Fluid Dynamics
  • Galerkin Method
  • Information Operations
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Numerical Analysis
  • Semiconductor Devices
  • Semiconductors
  • Simulations

Readers

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

Technology Areas

  • Microelectronics