Parallel processing algorithms for the finite difference solution to the Navier-Stokes equations
Journal Article
·
· Nucl. Sci. Eng.; (United States)
OSTI ID:5664832
Numerical solutions involving finite difference representations of the equations governing fluid flow, heat conduction, and diffusion processes (including neutron diffusion) usually consist of solving large sparse matrix equations. These matrix equations can be recast into M smaller coupled matrix equations amenable to solution by using M multiple computer processors operating in parallel. A special form of the fluids equations commonly used in nuclear reactor thermal-hydraulic analysis, i.e., one-dimensional flow in closed loop geometry is emphasized. Parallel algorithms for solving these equations are developed and evaluated in terms of computational speed against conventional solutions on a serial machine. Timing studies are performed to assess the efficiency of these methods and to determine the optimum number of parallel processors for these applications.
- Research Organization:
- North Carolina State Univ., Dept. of Nuclear Engineering, Box 7909, Raleigh, NC 27695-7909
- OSTI ID:
- 5664832
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 93:1; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
ARRAY PROCESSORS
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
FLUID MECHANICS
HEAT TRANSFER
HYDRAULICS
ITERATIVE METHODS
KINETICS
MATHEMATICAL LOGIC
MATRICES
MECHANICS
NAVIER-STOKES EQUATIONS
NEUTRON DIFFUSION EQUATION
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
OPTIMIZATION
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING
REACTOR KINETICS
THERMAL CONDUCTION
THERMODYNAMICS
TIME DEPENDENCE
220100* -- Nuclear Reactor Technology-- Theory & Calculation
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
ARRAY PROCESSORS
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
FLUID MECHANICS
HEAT TRANSFER
HYDRAULICS
ITERATIVE METHODS
KINETICS
MATHEMATICAL LOGIC
MATRICES
MECHANICS
NAVIER-STOKES EQUATIONS
NEUTRON DIFFUSION EQUATION
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
OPTIMIZATION
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING
REACTOR KINETICS
THERMAL CONDUCTION
THERMODYNAMICS
TIME DEPENDENCE