Abstract
The current study discusses the results of parallelisation of a computer program based on the SIMPLE algorithm and applied to the prediction of the laminar backward-facing step flow. The domain of integration has been split into subdomains, as if the flow were made up of physically distinct domains of integration.
The convergence characteristics of the parallel algorithm have been studied as a function of grid size, number of subdomains and flow Reynolds number. The results showed that the difficulties of convergence increase with the complexity of the flow, as the Reynolds number increases and extra recirculation regions appear.
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References
Areal, P.: Parallelization of the SIMPLE algorithm for computational fluid dynamics using overlapping subdomains (in portuguese). Master’s thesis, University of Porto (Faculty of Engineering), Porto, Portugal (1998)
Armaly, B.F., Durst, F., Pereira, J.C.F., Schönung, B.: Experimental and theoretical investigation of backward-facing step flow. Journal of Fluid Mechanics 127, 473–496 (1983)
Carvalho, L.M.R., Palma, J.M.L.M.: Parallelization of CFD code using PVM and domain decomposition techniques. In: [14], pp. 247–257.
Castro, F.A.: Numerical Methods for Simulation of Atmospheric Flows over Complex Terrain (In Portuguese). PhD thesis, University of Porto (Faculty of Engineering), Porto, Portugal (1997)
Chan, T.F., Glowinski, R., Periaux, J., Widlund, O.B. (eds.): Third International Symposium on Domain Decomposition Methods for Partial Differential Equations. SIAM Proceedings Series List. SIAM, Philadelphia (1989)
Dias d’Almeida, F., Castro, F.A., Palma, J.M.L.M., Vasconcelos, P.: Development of a parallel implicit algorithmfor CFD calculations. In: Presented at the AGARD 77th Fluid Dynamics Panel Symposium on Progress and Challenges in CFD Methods and Algorithms, Seville, Spain, October 2-5 (1995)
Ferziger, J.H., Perić, M.: Computational Methods for Fluid Dynamics. Springer, Berlin (1996)
Geist, G.A., Beguelin, A., Dongarra, J.J., Jiang, W., Manchek, R., Sunderam, V.S.: PVM Parallel Virtual Machine. In: A Users’ Guide and Tutorial for Networked Parallel Computing. Scientific and Engineering Computation, The MIT Press, Cambridge (1994)
Ghia, N.N., Osswald, G.A., Ghia, U.: A direct method for the solution of unsteady two-dimensional incompressible Navier-Stokes equations. Aerodynamic Flows (January)
Hockney, R.W.: The Science of Computer Benchmarking. Software, Environments and Tools. In: SIAM -Society for Industrial and Applied Mathematics, Philadelphia, USA (1996)
Kim, J., Moin, P.: Application of a fractional step method to incompressible Navier-Stokes equations. Journal of Computational Physics 59, 308 (1985)
Kurreck, M., Wittig, S.: A comparative study of pressure correction and blockimplicit finite volume algorithms on parallel computers. International Journal for Numerical Methods in Fluids 24, 1111–1128 (1997)
McGuirk, J.J., Palma, J.M.L.M.: The efficiency of alternative pressure-correction formulations for incompressible turbulent flow problems. Computers & Fluids 22(1), 77–87 (1993)
Palma, J.M.L.M., Dongarra, J. (eds.): VECPAR 1996. LNCS, vol. 1215. Springer, Heidelberg (1997)
Patankar, S.V., Spalding, D.B.: A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. International Journal of Heat and Mass Transfer 15, 1787–1806 (1972)
Rhie, C.M., Chow, W.L.: Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA Journal 21(11), 1525–1532 (1983)
Simpson, R.L.: Two-dimensional turbulent separated flows. Technical report, AGARDograph N. 287 (1985)
Stone, H.L.: Iterative solution of implicit approximations of multidimensional partial differential equations. SIAM Journal of Numerical Analysis 5, 530–558 (1968)
Widlund, O.B.: Domain decomposition algorithms and the bicentennial of the French revolution. [5] XV-XX (1989)
Zang, Y., Street, R.L., Koseff, J.R.: A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates. Journal of Computational Physics 114, 18–33 (1994)
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Areal, P.M., Palma, J.M.L.M. (1999). The Study of a Parallel Algorithm Using the Laminar Backward-Facing Step Flow as a Test Case. In: Hernández, V., Palma, J.M.L.M., Dongarra, J.J. (eds) Vector and Parallel Processing – VECPAR’98. VECPAR 1998. Lecture Notes in Computer Science, vol 1573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10703040_19
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DOI: https://doi.org/10.1007/10703040_19
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