Accession Number : AD0746389

Title :   An Implicit Fourth Order Difference Method for Viscous Flows,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Watanaba,D. S. ; Flood,J. R.

Report Date : JUN 1972

Pagination or Media Count : 21

Abstract : An implicit finite difference scheme for viscous flows is presented. The scheme is based on Simpson's rule and two-point Hermite interpolation, has a truncation error of 0(delta sup 5) for fixed delta t/delta x, and is unconditionally stable according to a Fourier stability analysis. Numerical solutions of the Burger's. Euler, and Navier-Stokes equations are presented to illustrate the order and accuracy of the scheme. (Author)

Descriptors :   (*FLUID FLOW, EQUATIONS OF MOTION), BOUNDARY VALUE PROBLEMS, NAVIER STOKES EQUATIONS, INTERPOLATION, REYNOLDS NUMBER, CURVE FITTING, COMPUTER PROGRAMMING, DIFFERENCE EQUATIONS, NUMERICAL INTEGRATION, VISCOSITY

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE