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) : Cooke,Charlie H

PDF Url : ADA184281

Report Date : Jun 1987

Pagination or Media Count : 20

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. MacCormack's 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.

Descriptors :   *NAVIER STOKES EQUATIONS, FLUID DYNAMICS, ALGORITHMS, UNSTEADY FLOW, BOUNDARY VALUE PROBLEMS, INTERACTIONS, SHOCK WAVES, LAMINAR BOUNDARY LAYER

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE