Evaluation of a higher order differencing method for the solution of fluid-flow equations
For the numerical solution of the transport equations that describe the convection and diffusion of various physical quantities (e.g., momentum, heat, and material concentrations), first-order upwind schemes are widely used. These schemes are simple and give physically plausible solutions. However, because of false diffusion at high Peclet or Reynolds numbers, their accuracy on practical meshes is poor. On the other hand, at these numbers, central difference schemes and Galerkin finite-element methods require a fine mesh to eliminate spurious spatial oscillations. A higher order differencing method was recently presented by Tzanos that even with a coarse mesh produces solutions that are oscillation free and of superior accuracy to those of the upwind scheme. This method has been successfully tested for the solution of the heat transfer equations with a known flow field and for the solution of the incompressible fluid flow equations in the vorticity-stream function formulation. In this work, the method was evaluated for the solution of the incompressible fluid flow equations in their primitive variables (such as velocities and pressure) formulation. The flow in a square cavity was used as a test problem.
- OSTI ID:
- 7162684
- Report Number(s):
- CONF-911107-; CODEN: TANSA; TRN: 92-030801
- Journal Information:
- Transactions of the American Nuclear Society; (United States), Vol. 63; Conference: 1991 Winter meeting of the American Nuclear Society (ANS) session on fundamentals of fusion reactor thermal hydraulics, San Francisco, CA (United States), 10-15 Nov 1991; ISSN 0003-018X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
INCOMPRESSIBLE FLOW
FLOW MODELS
REACTOR COOLING SYSTEMS
HEAT TRANSFER
HYDRAULICS
ACCURACY
BOUNDARY CONDITIONS
CONVECTION
FINITE ELEMENT METHOD
MESH GENERATION
NUMERICAL SOLUTION
REYNOLDS NUMBER
SPACE DEPENDENCE
STEADY-STATE CONDITIONS
THREE-DIMENSIONAL CALCULATIONS
VELOCITY
COOLING SYSTEMS
ENERGY TRANSFER
FLUID FLOW
FLUID MECHANICS
MASS TRANSFER
MATHEMATICAL MODELS
MECHANICS
REACTOR COMPONENTS
420400* - Engineering- Heat Transfer & Fluid Flow
220100 - Nuclear Reactor Technology- Theory & Calculation