High Order Accurate Algorithms for Shocks, Rapidly Changing Solutions and Multiscale Problems

Abstract

We have performed research on the design of new algorithms and improvement of existing algorithms for high order accurate finite difference and finite volume weighted essentially non-oscillatory (WENO) schemes and discontinuous Galerkin finite element methods, for solving partial differential equations with discontinuous, rapidly changing, or multiscale solutions. Applications to computational fluid dynamics, astrophysical problems, and pedestrian flows are addressed. The objective of improving the range of applicability, efficiency, robustness, and scalability in massive parallel environment of the proposed methods for various physical problems has been achieved. Particular attention has been paid to army related applications including the pedestrian flow problems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 07, 2013
Accession Number
ADA583317

Entities

People

  • Chi-Wang Shu

Organizations

  • Brown University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Frequency
  • Galerkin Method
  • Mathematics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Shock Waves
  • Simulations
  • Students
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Parallel and Distributed Computing.

Technology Areas

  • Space