Evaluation of a central-difference-like method for the solution of the convection-diffusion equation

Conference · Mon Jan 01 00:00:00 EST 1990

OSTI ID:6161731

Tzanos, C P

For the numerical solution of the transport equation that describes the convection and diffusion of various physical quantities (e.g., momentum, heat, and material concentrations) first-order upwind schemes are widely used. For example, first order upwind differencing is used in codes like COMMIX and PHOENICS. These schemes are simple and always give oscillation-free and physically plausible solutions. However, due to false diffusion, at high Peclet numbers their accuracy on practical meshes is poor. In previous work, a central-difference-like method was presented that even with a coarse mesh produces oscillation-free solutions and of superior accuracy than the upwind scheme. For the evaluation of this method, previous work used the test problem of Smith and Hutton for Peclet numbers ranging from 10 to {infinity}. To further evaluate this method, in this work results are presented from its application to another benchmark problem of computational fluid dynamics. This problem is laminar isothermal flow in a square cavity driven by a sliding lid. 7 refs., 1 fig.

• Research Organization: Argonne National Lab., IL (USA)
• Sponsoring Organization: DOE/NE
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 6161731
• Report Number(s): CONF-901101-78; ON: DE91006550; TRN: 91-001859
• Resource Relation: Conference: American Nuclear Society winter meeting, Washington, DC (USA), 11-15 Nov 1990
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
CONVECTION
DIFFUSION
HEAT TRANSFER
INCOMPRESSIBLE FLOW
REYNOLDS NUMBER
TRANSPORT THEORY
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
FLUID FLOW
MASS TRANSFER
PARTIAL DIFFERENTIAL EQUATIONS
640410* - Fluid Physics- General Fluid Dynamics