Accession Number:

ADA135711

Title:

Solution Procedures for Accurate Numerical Simulations of Flow in Turbomachinery Cascades.

Descriptive Note:

Interim rept.,

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF AERONAUTICS AND ASTRONAUTICS

Report Date:

1983-01-01

Pagination or Media Count:

17.0

Abstract:

For several years the authors have been evaluating and developing numerical simulation schemes for compressible, two dimensional inviscid or viscous flows in turbomachinery cascades. Numerical schemes considered, all originally classified as time-marching schemes, include 1 implicit approximate factorization schemes 2 explicit schemes due to MacCormack 3 explicit central difference schemes and 4 the mult-grid scheme of Ni. As we develop these schemes we came to believe that the accuracy of computational results is relatively insensitive to the numerical algorithm chosen but highly sensitive to implementation details such as boundary conditions, consistent flux balancing, grid resolution and numerical smoothing. To illustrate our viewpoint, we present an examination of the relationship between a flux balancing interpretation of the control volume conservation laws and various finite difference formulations and comparisons of the performance of these schemes on three test problems Nis bump in a channel, a supersonic nozzle, and flow in a supercritical compressor cascade.

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE