An upwind nodal integral method for incompressible fluid flow
- Studsvik of America, Inc., Idaho Falls, ID (United States)
- Univ. of Wisconsin, Madison, WI (United States)
An upwind nodal solution method is developed for the steady, two-dimensional flow of an incompressible fluid. The formulation is based on the nodal integral method, which uses transverse integrations, analytical solutions of the one-dimensional averaged equations, and node-averaged uniqueness constraints to derive the discretized nodal equations. The derivation introduces an exponential upwind bias by retaining the streamwise convection term in the homogeneous part of the transverse-integrated convection-diffusion equation. The method is adapted to the stream function-vorticity form of the Navier-Stokes equations, which are solved over a nonstaggered nodal mesh. A special nodal scheme is used for the Poisson stream function equation to properly account for the exponentially varying vorticity source. Rigorous expressions for the velocity components and the no-slip vorticity boundary condition are derived from the stream function formulation. The method is validated with several benchmark problems. An idealized purely convective flow of a scalar step function indicates that the nodal approximation errors are primarily dispersive, not dissipative, in nature. Results for idealized and actual recirculating driven-cavity flows reveal a significant reduction in false diffusion compared with conventional finite difference techniques.
- OSTI ID:
- 6521038
- Journal Information:
- Nuclear Science and Engineering; (United States), Vol. 114:1; ISSN 0029-5639
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
42 ENGINEERING
INCOMPRESSIBLE FLOW
CALCULATION METHODS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
CONVECTION
FINITE DIFFERENCE METHOD
NAVIER-STOKES EQUATIONS
STEADY FLOW
VALIDATION
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
FLUID FLOW
HEAT TRANSFER
ITERATIVE METHODS
MASS TRANSFER
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
TESTING
665000* - Physics of Condensed Matter- (1992-)
420400 - Engineering- Heat Transfer & Fluid Flow