Adaptive Computations for Partial Differential Equations Governing Advective Fluid Flows

Abstract

We developed improved approaches to the numerical simulation of highly advective fluid flows using adaptive computational schemes. (Applications include heat and mass transfer in flowing fluids, reaction-diffusion phenomena of combustion, bubbly and multiphase flows, underwater explosions, and electrochemistry). Solutions to the equations governing these flows commonly exhibit highly localized features--steep moving fronts, moving boundaries, unstable interfaces--not captured by standard numerical techniques with acceptable accuracy and computational cost. We developed adaptive techniques in which computational degrees of freedom are allocated according to qualitative properties of the equations being solved, to efficiently enhance local resolution. We focused on adaptive gridding methods implementing adaptive local gridding algorithms.

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Document Details

Document Type
Technical Report
Publication Date
Dec 27, 1990
Accession Number
ADA230179

Entities

People

  • Richard E. Ewing

Organizations

  • University of Wyoming

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Availability
  • Cauchy Problem
  • Chemical Engineering
  • Compilers
  • Computations
  • Contracts
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Flow
  • Method Of Characteristics
  • Multiphase Flow
  • Numerical Analysis
  • Partial Differential Equations

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)