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

Conference · Tue Jan 01 04:00:00 EST 1991

OSTI ID:5101879

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, material concentrations), first-order upwind schemes are widely used. These schemes are simple and give physically plausible solutions. However, due to 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 oscillation-free solutions and of superior accuracy than 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 this method was evaluated for the solution of the incompressible fluid flow equations in their primitive-variables (velocities, pressure) formulation. The flow in a square cavity was used as a test problem. 6 refs., 1 tab.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5101879
• Report Number(s): ANL/CP-73509; CONF-911107--32; ON: DE92001909
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100 -- Nuclear Reactor Technology-- Theory & Calculation
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONVECTION
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FLUID FLOW
HEAT TRANSFER
INCOMPRESSIBLE FLOW
MASS TRANSFER
MESH GENERATION
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
TRANSPORT THEORY