Multi-Dimensional High Order Non-Oscillatory Numerical Methods for Discontinuous Problems in Parallel Structure.

Abstract

In this project we have studied high order finite difference, finite element, and spectral methods for the numerical solution of discontinuous or high gradient solutions. Theoretical study of algorithm development, stability, accuracy and convergence analysis, as well as applications of the algorithms to computational fluid dynamics (both compressible and incompressible) and semiconductor device simulation are performed. Parallel implementation issues of these high order methods are also studied.

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Document Details

Document Type
Technical Report
Publication Date
Jun 26, 1995
Accession Number
ADA300831

Entities

People

  • Chi-Wang Shu

Organizations

  • Brown University

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Analytic Functions
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Simulations
  • Finite Element Analysis
  • Fluid Dynamics
  • Mathematics
  • Numerical Analysis
  • Physics
  • Semiconductor Devices
  • Semiconductors
  • Simulations
  • Three Dimensional
  • Two Dimensional

Readers

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

Technology Areas

  • Microelectronics