Spectral solution of the incompressible Navier-Stokes equations on the connection machine 2. Final report

Technical Report · Sun Jan 01 04:00:00 EST 1989

OSTI ID:5844108

Tomboulian, S; Streett, C; Macaraeg, M

The issue of solving the time-dependent incompressible Navier-Stokes equations on the Connection Machine 2 is addressed, for the problem of transition to turbulence of the steady flow in a channel. The spectral algorithm used serially requires O(N(4)) operations when solving the equations on an N x N x N grid; using the massive parallelism of the CM, it becomes an O(N(2)) problem. Preliminary timings of the code, written in LISP, are included and compared with a corresponding code optimized for the Cray-2 for a 128 x 128 x 101 grid.

• Research Organization: National Aeronautics and Space Administration, Hampton, VA (USA). Langley Research Center
• OSTI ID: 5844108
• Report Number(s): N-89-22353; NASA-CR-181770; NAS-1.26:181770; ICASE-89-1
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ALGORITHMS
COMPUTER CALCULATIONS
DIFFERENTIAL EQUATIONS
DOCUMENT TYPES
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
MATHEMATICAL LOGIC
NAVIER-STOKES EQUATIONS
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING
PROGRESS REPORT
TRANSITION FLOW