Evaluation of a higher order differencing method for the solution of fluid-flow equations

Conference · Tue Jan 01 04:00:00 EST 1991 · Transactions of the American Nuclear Society; (United States)

OSTI ID:7162684

Tzanos, C P

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--
• Conference Information: Journal Name: Transactions of the American Nuclear Society; (United States) Journal Volume: 63
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100 -- Nuclear Reactor Technology-- Theory & Calculation
42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ACCURACY
BOUNDARY CONDITIONS
CONVECTION
COOLING SYSTEMS
ENERGY TRANSFER
FINITE ELEMENT METHOD
FLOW MODELS
FLUID FLOW
FLUID MECHANICS
HEAT TRANSFER
HYDRAULICS
INCOMPRESSIBLE FLOW
MASS TRANSFER
MATHEMATICAL MODELS
MECHANICS
MESH GENERATION
NUMERICAL SOLUTION
REACTOR COMPONENTS
REACTOR COOLING SYSTEMS
REYNOLDS NUMBER
SPACE DEPENDENCE
STEADY-STATE CONDITIONS
THREE-DIMENSIONAL CALCULATIONS
VELOCITY