Numerical solutions for laminar flow over a backward-facing step

Conference · Mon Jun 01 00:00:00 EDT 1987

OSTI ID:6464828

Szymczak, W G; Solomon, J M; Berger, A E; Bell, J B; Osborn, J E

In this paper, we present numerical results for steady two-dimensional laminar flow over a rearward facing step. This problem is special in the sense that the use of conservative central differencing of the convective terms does not generate spurious oscillations in the flowfield, even when the cell Reynolds number condition is violated. However, spurious oscillations do appear when considering either the problem of flow over a full step or flow in a smoothly expanding channel. A scheme in which artificial viscosity is added primarily in the flow direction is shown to be more stable than the central difference scheme, without the loss of accuracy associated with certain first order upwind schemes. These computational results are compared to the experimental measurements of Armaly et al., on the rearward facing step problem. The accuracy of these schemes as well as several others appearing in the literature are also tested on two model convection diffusion problems.

• Research Organization: Naval Surface Weapons Center, Silver Spring, MD (USA); Lawrence Livermore National Lab., CA (USA); Maryland Univ., College Park (USA). Dept. of Mathematics
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6464828
• Report Number(s): UCRL-96763; CONF-870677-7; ON: DE87010782
• Resource Relation: Conference: 6. IMACS international symposium on computer methods for partial differential equations, Bethlehem, PA, USA, 23 Jun 1987; Other Information: Paper copy only, copy does not permit microfiche production
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
LAMINAR FLOW
COMPUTER CALCULATIONS
MATHEMATICAL MODELS
FINITE DIFFERENCE METHOD
FLUID FLOW
NAVIER-STOKES EQUATIONS
OSCILLATIONS
Q CODES
REYNOLDS NUMBER
T CODES
TWO-DIMENSIONAL CALCULATIONS
VISCOSITY
COMPUTER CODES
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
640410* - Fluid Physics- General Fluid Dynamics
990220 - Computers
Computerized Models
& Computer Programs- (1987-1989)
990230 - Mathematics & Mathematical Models- (1987-1989)