Abstract
A mixed spectral element, pseudospectral, and finite-difference scheme for solving the Navier-Stokes equations is implemented on a Meiko parallel supercomputer. The code for the solution of Navier-Stokes equations for jetlike flows is implemented with a spectral scheme in cross-flow directions, a spectral element scheme in the stream-wise direction, and finite-difference marching in time. Several strategies for distributing the workload onto the processors are discussed. Special attention is paid to using the flexible topology of the Meiko.
Similar content being viewed by others
References
Abbott, M.B., and Basco, D.R. 1989.Computational Fluid Dynamics. J. Wiley & Sons, New York, pp. 344–357.
Batcho, P.F., Karniadakis, G.E., and Orszag, S.A. 1991. Numerical investigation of the spreading of self-excited stratified jets.J. Fluids and Structures, 5: 681–700.
Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A. 1988.Spectral methods in Fluid Dynamics. Springer-Verlag, New York, pp. 222–225, 461–463.
Fischer, P.F., and Patera, A.T. 1991. Parallel spectral element solution of the Stokes problem.J. Comput. Phys. 92: 380–392.
Fischer, P.F., Ho, L.W., Karniadakis, G.E., Ronquist, E.M., and Patera, A.T. 1988. Recent advances in parallel spectral element simulation of unsteady incompressible flows.Computers & Structures, 30: 217–231.
Israeli, M. 1989. Personal commun. Dept. of Comp. Sci., Technion-Israel, Institute of Technology, Haifa, Israel.
Karniadakis, G.E., Israeli, M., and Orszag, S.A. 1991. High-order splitting methods for the incompressible Navier-Stokes equations.J. Comput. Phys., 97: 414–443.
Korczak, K.Z., and Patera, A.T. 1986. An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry.J. Comput. Phys., 62: 361–382.
Landau, L.D., and Lifshitz, E.M. 1986.Fluid Mechanics, 3rd Russian ed., Nauka, Moscow, pp. 147–151.
Patera, A.T. 1984. A spectral element method for fluid dynamics.J. Comput. Phys., 54: 468–487.
Pelz, R.B. 1991. The parallel Fourier pseudospectral method.J. Comput. Phys., 92: 296–312.
Spalart, R. 1986. Numerical simulation of boundary layers. NASA Tech. Memorandum 88222.
Wang, H.H. 1981. A parallel method for tridiagonal equations.ACM Trans. Math. Software, 7, 2: 170–183.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Prestin, M., Shtilman, L. A parallel Navier-Stokes solver: The Meiko implementation. J Supercomput 9, 347–364 (1995). https://doi.org/10.1007/BF01206272
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01206272