An Alternating-Direction-Implicit Solution of Subsonic Cascade FLow.

Abstract

Two numerical methods -- alternating-direction-implicit (ADI) and Gauss-Seidel -- of solving the partial differential equations of subsonic cascade flow are compared. The ADI method was found to be slower and to offer no advantages of accuracy or computer storage. A stability analysis disclosed the existence of a maximum allowable integration step for the ADI algorithm. Implementation of the ADI method and the inclusion of boundary conditions are described and the computer times required for each facet of the ADI iteration are reported. The study concludes that the ADI algorithm is not a viable appraoch to this type of problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1976
Accession Number
ADA022773

Entities

People

  • Kervyn D. Mach

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Computers
  • Differential Equations
  • Equations
  • Inclusions
  • Iterations
  • Mathematical Analysis
  • Partial Differential Equations

Readers

  • Linear Algebra
  • Metallurgy
  • Systems Analysis and Design