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

Abstract

Research has been performed on weighted essentially non-oscillatory schemes and discontinuous Galerkin methods, and other related numerical methods, which are high order accurate numerical methods for solving problems with shocks and other complicated solution structures. New algorithm aspects include subcell resolution for non-conservative systems, high order well balanced schemes, stable Lagrangian schemes, schemes for front propagation with obstacles, and homotopy method for steady states. Applications include high order simulations for 3D gaseous detonations, sound generation study via vortex interactions, turbulence simulations, simulations of resonant photons, and dynamic continuum models for traffic flows in urban cities with efficient and stable numerical simulations.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 13, 2014
Accession Number
ADA617663

Entities

People

  • Chi-Wang Shu

Organizations

  • Brown University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Frequency
  • Heat Transfer
  • Numerical Analysis
  • Steady State
  • Students
  • Three Dimensional
  • Two Dimensional

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)