Nodal coarse-mesh method for the efficient numerical solution of laminar flow problems
A coarse-mesh nodal method for the efficient numerical solution of incompressible laminar flow problems is developed using a transverse integration procedure followed by the introduction of locally-defined Green's tensors of the transverse-integrated in-node Navier-Stokes and mass conservation equations. In applications to 2-dimensional flow problems, including fully developed flow, inlet flow, and modified driven cavity problems (driven cavities with inlet and outlet sections), this new nodal Green's tensor method is demonstrated to have very high accuracy even when applied on very large nodes. The high accuracy of this new method on very coarse meshes leads to a high computational efficiency (reduced computer time for fixed accuracy requirements).
- Research Organization:
- Brookhaven National Laboratory, Department of Nuclear Energy, Upton, New York 11973
- OSTI ID:
- 5561427
- Journal Information:
- J. Comput. Phys.; (United States), Vol. 59:3
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
INCOMPRESSIBLE FLOW
NUMERICAL SOLUTION
LAMINAR FLOW
ADVECTION
BOUNDARY CONDITIONS
GREEN FUNCTION
NAVIER-STOKES EQUATIONS
TENSORS
TWO-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FUNCTIONS
MASS TRANSFER
PARTIAL DIFFERENTIAL EQUATIONS
640410* - Fluid Physics- General Fluid Dynamics
658000 - Mathematical Physics- (-1987)