Accession Number:

ADA184281

Title:

On Operator Splitting for Unsteady Boundary Value Problems.

Descriptive Note:

Final rept.,

Corporate Author:

ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s):

Report Date:

1987-06-01

Pagination or Media Count:

20.0

Abstract:

A frozen Jacobian locally linearized analysis and again matrix approach is used to argue that a certain operator splitting of the two-dimensional, conservation form, Navier-Stokes equations is second-order accurate. MacCormacks intuitive result, which through the above approach can rigorously be shown valid only for linear systems, is also true in the presence of nonlinearity. Additional second-order splittings are obtained for the case in which derivative-free source terms are present in the fluid dynamics equations. Some discussion of operator optimality is given.

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE