Solution of the Euler and Navier-Stokes equations on MIMD distributed memory multiprocessors using cyclic reduction
Conference
·
OSTI ID:5504875
- Rutgers University, Piscataway, NJ (United States) Grumman Aerospace Corp., Bethpage, NY (United States)
The Euler and Navier-Stokes equations are solved for the steady, two-dimensional flow over a NACA 0012 airfoil using a 1024 node nCUBE/2 multiprocessor. Second-order, upwind-discretized difference equations are solved implicitly using ADI factorization. Parallel cyclic reduction is employed to solve the block tridiagonal systems. For realistic problems, communication times are negligible compared to calculation times. The processors are tightly synchronized, and their loads are well balanced. When the flux Jacobians flux are frozen, the wall-clock time for one implicit timestep is about equal to that of a multistage explicit scheme. 10 refs.
- OSTI ID:
- 5504875
- Report Number(s):
- AIAA-Paper--92-0561; CONF-920157--
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
AIRFOILS
ARRAY PROCESSORS
COMPUTER ARCHITECTURE
COMPUTER CALCULATIONS
COMPUTERS
DATA PROCESSING
DIFFERENTIAL EQUATIONS
DISTRIBUTED DATA PROCESSING
EQUATIONS
EQUATIONS OF MOTION
FACTORIZATION
FLUID FLOW
FLUID MECHANICS
HYPERCUBE COMPUTERS
MECHANICS
MESH GENERATION
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PROCESSING
STEADY FLOW
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
AIRFOILS
ARRAY PROCESSORS
COMPUTER ARCHITECTURE
COMPUTER CALCULATIONS
COMPUTERS
DATA PROCESSING
DIFFERENTIAL EQUATIONS
DISTRIBUTED DATA PROCESSING
EQUATIONS
EQUATIONS OF MOTION
FACTORIZATION
FLUID FLOW
FLUID MECHANICS
HYPERCUBE COMPUTERS
MECHANICS
MESH GENERATION
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PROCESSING
STEADY FLOW