
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 twodimensional, conservation form, NavierStokes equations is secondorder 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 secondorder splittings are obtained for the case in which derivativefree 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