Benchmark integral transform results for flow over a backward-facing step

Computers and Fluids

Volumn 25, Issue 5, 1996, Pages 527-540

  Guerrero, J S Perez ^a   Cotta, R M ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; NAVIER STOKES EQUATIONS; PROBLEM SOLVING; REYNOLDS NUMBER; VELOCITY; VISCOSITY;

BACKWARD FACING STEP; ERROR ESTIMATOR; GENERALIZED INTEGRAL TRANSFORM TECHNIQUE; INLET FLOW; STREAMFUNCTION;

LAMINAR FLOW;

FLOW; STEPS(SURFACE STRUCTURES);

EID: 0030175535     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7930(96)00005-9     Document Type: Article

References (28)

1. O. R. Burggraf, Analytical and numerical studies of the structure of steady separated flows. J. Fluid Mech. 24, 113 (1966).
2. U. Ghia, K. N. Ghia and C. T. Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J. Comput. Phys. 48, 387 (1982).
3. R. Schreider and H. B. Keller, Driven cavity flows by efficient numerical techniques. J. Comput. Phys. 49, 310 (1983).
4. Y. L. Wang and P. A. Longwell, Laminar flow in the inlet section of parallel plates. AICHE J. 10, 323 (1964).
5. J. W. McDonald, V. E. Denny and A. F. Mills, Numerical solution of the Navier-Stokes equations in inlet regions. J. Appl. Mech. 39, 873 (1972).
6. G. Comini and S. Del Giudice, Finite-element solution of the incompressible Navier-Stokes equations. Numer. Heat Transfer 5, 463 (1982).
7. R. M. Cotta, Integral Transforms in Computational Heat and Fluid Flow. CRC Press, Boca Raton, FL (1993).
8. J. S. Pérez Guerrero and R. M. Cotta, Integral transform method for the Navier-Stokes equations in stream-function only formulation. Int. J. Numer. Meth. Fluids 15, 399 (1992).
9. R. M. Cotta, J. S. Pérez Guerrero and F. Scofano Neto, Hybrid solution of the incompressible Navier-Stokes equations via integral transformation. In Proc. of the 2nd Int. Conf. Advanced Comput. Methods in Heat Transfer, Heat Transfer 92, Milan, Italy, Vol. 1, pp. 735-750, July (1992).
10. C. Baohua and R. M. Cotta, Integral transform analysis of natural convection in porous enclosures. Int. J. Numer. Meth. Fluids 17, 787 (1993).
11. J. S. Pérez Guerrero, R. M. Cotta and F. Scofano Neto, Integral transformation of Navier-Stokes equations for incompressible laminar flow in channels. In Proc. of the 8th Int. Conf. Numerical Methods in Laminar and Turbulent Flow, Swansea, U.K., Vol. 1, pp. 1195-1206, July (1993).
12. J. S. Pérez Guerrero and R. M. Cotta, Integral transform solution of developing laminar duct flow in Navier-Stokes formulation. Int. J. Numer. Meth. Fluids, 20, 1203 (1995).
13. M. K. Denham and M. A. Patrick, Laminar flow over a downstream-facing step in a two-dimensional flow channel. Trans. Inst. Chem. Engrs. 52, 361 (1974).
14. A. Campion-Renson and M. J. Crochet, On the streamfunction vorticity finite element solution of Navier-Stokes equations. Int. J. Numer. Meth. Engng. 12, 1809 (1978).
15. M. A. Leschziner, Practical evaluation of three finite difference schemes for the computation of steady-state recirculating flows. Comput. Meth. Appl. Mech. 23, 293 (1980).
16. B. F. Armaly, F. Durst, J. C. F. Pereira and B. Schonung, Experimental and theoretical investigation of backward facing step flow. J. Fluid Mech. 127, 473 (1983).
17. S. Thangam and D. Knight-Doyle, A computational scheme in generalized coordinates for viscous incompressible flows. Comput. Fluids 18, 317 (1990).
18. D. K. Gartling, A test problem for outflow boundary condition: flow over backward facing step. Int. J. Numer. Meth. Fluids 11, 953 (1990).
19. S. Rogers and D. Kwak, An upwing differencing scheme for the incompressible Navier-Stokes equations. Appl. Numer. Math. 8, 43 (1991).
20. K. Srinivasan and S. G. Rubin, Segmented multigrid domain decomposition procedure for incompressible viscous flows. Int. J. Numer. Meth. Fluids 15, 1333 (1992).
21. H. S. Onur and E. Baydar, Laminar channel flow over a square step. Int. J. Engng Sci. 30, 1109 (1992).
22. P. M. Gresho, D. K. Gartling, J. R. Torczynski, K. A. Cliffe, K. H. Winters, T. J. Garratt, A. Spence and J. W. Goodrich, Is the steady viscous incompressible two-dimensional flow over a backward-facing step at Re = 800 stable? Int. J. Numer. Meth. Fluids 17, 501 (1993).
23. L. Kaiktsis, G. E. Karniadakis and S. Orszag, Onset of three-dimensionality, equilibria, and early transition in flow over a backward facing step. J. Fluid Mech. 231, 501 (1991).
24. R. M. Cotta, Benchmark results in computational heat and fluid flow-the integral transform method. Int. J. Heat Mass Transfer (Invited Paper), 37, Suppl. 1, 381 (1994).
25. R. M. Cotta, The integral transform method in computational heat and fluid flow. Invited Keynote Lecture, Proc. of the 10th Int. Heat Transfer Conf., Brighton, U.K., SK-3, Vol. 1, pp.43-60, August (1994).
26. IMSL Library, MATH/LIB, Houston, TX (1987).
27. G. J. Hirasaki and J. D. Hellums, Boundary conditions on the vector and scalar potentials in viscous three-dimensional hydrodynamics. Q. Appl. Math. 28, 293 (1970).
28. H. Yang and R. Camarero, Internal three-dimensional viscous flow solutions using the vorticity-potential method. Int. J. Numer. Meth. Fluids 12, 1 (1991).