Accession Number:

AD0770224

Title:

An Implicit Numerical Method for the Multidimensional Compressible Navier-Stokes Equations.

Descriptive Note:

Technical rept.,

Corporate Author:

UNITED AIRCRAFT RESEARCH LABS EAST HARTFORD CONN

Personal Author(s):

Report Date:

1973-11-01

Pagination or Media Count:

56.0

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 finite-difference method for the multidimensional Navier-Stokes equations is presented. The method is based on a fully-implicit 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 Douglas-Gunn procedure for generating alternating-direction implicit ADI schemes as perturbations of fundamental implicit difference schemes is introduced. The resulting sequence of one-dimensional equations can be solved efficiently by standard block-elimination methods. The method is a one-step method, as opposed to a predictor-corrector 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 three-dimensional application to subsonic flow in a straight duct with rectangular cross section. Modified author abstract

Subject Categories:

  • Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE