Higher-order differencing method with a multigrid approach for the solution of the incompressible flow equations at high Reynolds numbers
Journal Article
·
· Numerical Heat Transfer. Part B, Fundamentals; (United States)
- Argonne National Lab., Argonne, IL (United States)
A higher-order differencing method was recently proposed for the convection-diffusion equation, which even with a coarse mesh gives oscillation-free solutions that are far more accurate than those of the upwind scheme. In this paper, the performance of this method is investigated in conjunction with the performance of different iterative solvers for the solution of the Navier-Stokes equations in the vorticity-streamfunction formulation for incompressible flow at high Reynolds numbers. Flow in a square cavity with a moving lid was chosen as a model problem. Solvers that performed well at low Re numbers either failed to converge or had a computationally prohibitive convergence rate at high Re numbers. The additive correction method of Settari and Aziz and an iterative incomplete lower and upper (ILU) solver were used in a multigrid approach that performed well in the whole range of Re numbers considered (from 1000 to 10,000) and for uniform as well as nonuniform grids. At high Re numbers, point or line Gauss-Seidel solvers converged with uniform grids, but failed to converge with nonuniform grids.
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 7016026
- Journal Information:
- Numerical Heat Transfer. Part B, Fundamentals; (United States), Journal Name: Numerical Heat Transfer. Part B, Fundamentals; (United States) Vol. 22; ISSN 1040-7790; ISSN NHBFEE
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
661300 -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
CONVECTION
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FLUID FLOW
FLUID MECHANICS
FLUIDS
HEAT TRANSFER
INCOMPRESSIBLE FLOW
ITERATIVE METHODS
MASS TRANSFER
MECHANICS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
REYNOLDS NUMBER
THERMODYNAMICS
420400* -- Engineering-- Heat Transfer & Fluid Flow
661300 -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
CONVECTION
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FLUID FLOW
FLUID MECHANICS
FLUIDS
HEAT TRANSFER
INCOMPRESSIBLE FLOW
ITERATIVE METHODS
MASS TRANSFER
MECHANICS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
REYNOLDS NUMBER
THERMODYNAMICS