Accession Number:

ADA238495

Title:

Computational and Theoretical Aspects of Nonlinear Partial Differential Equations

Descriptive Note:

Final rept. 10 Feb 1987-9 Feb 1991

Corporate Author:

WISCONSIN UNIV-MADISON

Personal Author(s):

• Strikwerda, John C.
• Plohr, Bradley K.

Report Date:

1991-04-08

Pagination or Media Count:

6.0

Abstract:

This research centered around three topics in computational fluid dynamics. These were schemes for the time dependent Navier Stokes equations, improved methods for the steady Navier-Stokes equations, and domain decomposition methods. In the original proposal, the domain decomposition methods were referred to as overlapping grid methods. All of these topics are coupled to the development faster algorithms for solving the systems of indefinite linear equations that arise from discretizations of the Navier Stokes equations. Significant results have been obtained in all of these areas.

Descriptors:

• *COMPUTATIONS
• *NAVIER STOKES EQUATIONS
• *FLUID DYNAMICS
• LINEAR ALGEBRAIC EQUATIONS
• DECOMPOSITION
• NONLINEAR DIFFERENTIAL EQUATIONS
• STEADY STATE
• ALGORITHMS
• PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE