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Title: Numerical solutions for laminar flow over a backward-facing step

Abstract

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.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Naval Surface Weapons Center, Silver Spring, MD (USA); Lawrence Livermore National Lab., CA (USA); Maryland Univ., College Park (USA). Dept. of Mathematics
OSTI Identifier:
6464828
Report Number(s):
UCRL-96763; CONF-870677-7
ON: DE87010782
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
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
Subject:
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)

Citation Formats

Szymczak, W G, Solomon, J M, Berger, A E, Bell, J B, and Osborn, J E. Numerical solutions for laminar flow over a backward-facing step. United States: N. p., 1987. Web.
Szymczak, W G, Solomon, J M, Berger, A E, Bell, J B, & Osborn, J E. Numerical solutions for laminar flow over a backward-facing step. United States.
Szymczak, W G, Solomon, J M, Berger, A E, Bell, J B, and Osborn, J E. 1987. "Numerical solutions for laminar flow over a backward-facing step". United States.
@article{osti_6464828,
title = {Numerical solutions for laminar flow over a backward-facing step},
author = {Szymczak, W G and Solomon, J M and Berger, A E and Bell, J B and Osborn, J E},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/6464828}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jun 01 00:00:00 EDT 1987},
month = {Mon Jun 01 00:00:00 EDT 1987}
}

Conference:
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