
Accession Number : AD0770224
Title : An Implicit Numerical Method for the Multidimensional Compressible NavierStokes Equations.
Descriptive Note : Technical rept.,
Corporate Author : UNITED AIRCRAFT RESEARCH LABS EAST HARTFORD CONN
Personal Author(s) : Briley,W. Roger ; McDonald,Henry
Report Date : NOV 1973
Pagination or Media Count : 56
Abstract : In an effort to exploit the favorable stability properties of implicit methods and thereby increase computational efficiency by taking large time steps, an implicit finitedifference method for the multidimensional NavierStokes equations is presented. The method is based on a fullyimplicit backward time difference scheme which is linearized by Taylor expansion about the known time level to produce a set of coupled linear difference equations which are valid for a given time step. To solve these difference equations, the DouglasGunn procedure for generating alternatingdirection implicit (ADI) schemes as perturbations of fundamental implicit difference schemes is introduced. The resulting sequence of onedimensional equations can be solved efficiently by standard blockelimination methods. The method is a onestep method, as opposed to a predictorcorrector method, and requires no iteration to compute the solution for a single time step. The stability and accuracy of the method are examined in a threedimensional application to subsonic flow in a straight duct with rectangular cross section. (Modified author abstract)
Descriptors : *Navier stokes equations, *Finite difference theory, *Three dimensional flow, *Subsonic flow, *Compressible flow, Nonlinear differential equations, Reynolds number, Computations
Subject Categories : Radiofrequency Wave Propagation
Distribution Statement : APPROVED FOR PUBLIC RELEASE