Accession Number:

ADA230179

Title:

Adaptive Computations for Partial Differential Equations Governing Advective Fluid Flows

Descriptive Note:

Final rept. 1 May 1988-30 Sep 1990

Corporate Author:

WYOMING UNIV LARAMIE

Personal Author(s):

• Ewing, Richard E.

Report Date:

1990-12-27

Pagination or Media Count:

13.0

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.

Descriptors:

• *MULTIPHASE FLOW
• COMPUTATIONS
• INTERFACES
• RESOLUTION
• NUMERICAL ANALYSIS
• MOTION
• ACCURACY
• ELECTROCHEMISTRY
• DEGREES OF FREEDOM
• COSTS
• BOUNDARIES
• SOLUTIONS(GENERAL)
• MASS TRANSFER
• ADAPTIVE SYSTEMS
• PARTIAL DIFFERENTIAL EQUATIONS
• NUMERICAL METHODS AND PROCEDURES
• EQUATIONS
• UNDERWATER EXPLOSIONS
• ADVECTION
• FLUID FLOW
• MATHEMATICAL MODELS
• ALGORITHMS

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE