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A Parallel adaptive code for compressible Navier-Stokes simulations

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Języki publikacji
EN
Abstrakty
EN
The paper presents a finite element code for compressible flow simulations. The code has two important features: adaptivity to increase accuracy of computations by selectively refining a finite element mesh and efficient parallel performance due to a special implementation based on concept of patches of elements. The algorithm for approximating the compressible Navier-Stokes equations is a version of the stabilized finite element method. Three time integration strategies are implemented, explicit, linear implicit and nonlinear implicit, and the GMRES method is used to solve systems of linear equations. For parallel simulations the code uses a special algorithm for mesh partition. The performance of the code is tested for two examples of supersonic flows: one inviscid and one viscous.
Rocznik
Strony
17--37
Opis fizyczny
Bibliogr. 15 poz., rys., tab.
Twórcy
autor
  • Section of Applied Mathematics UCK, Cracow University of Technology, Warszawska 24, 31-155 Cracow, Poland
Bibliografia
  • [1] Flirsch C., Numerical Computation of Internal and External Flows, Wiley, Chichester, 1988
  • [2] Hansbo P., Explicit Streamline Diffusion Finite Element Methods for the Compressible Euler Equations in Conservation Variables, Journal of Computational Physics, 109, 274-288, (1993)
  • [3] Brooks A. N., Hughes T. J. R., Streamline upwind/Petrov-Galerkin formulations for convection dominated flows wuth the particular emphasis on the incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, 32, 199-259, (1982)
  • [4] Carette J. C., Deconinck H., Paillere H., Roe P. L., Multidimensional upwinding: its relation to finite elements, International Journal for Numerical Methods in Engineering, 20, 935-955, (1995)
  • [5] Shakib F., Hughes T. J. R., Johan Z., A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, 89, 141-219, (1991)
  • [6] Banas K., Demkowicz L., Entropy controlled adaptive finite element simulations for compressible gas flow. Journal of Computational Physics, 126, 181-201, (1996)
  • [7] Saad Y., Schultz M., GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM Journal of Scientific and Statistical Computing, 7, 856-869, (1986)
  • [8] LeTallec R, Domain decomposition method in computational mechanics, Computational Mechanics Advances, J.T.Oden ed., North Holland, Amsterdam, 1994
  • [9] Banas K., Plazek J., Dynamic load balancing for the preconditioned GMRES solver in a parallel, adaptive finite element Euler code, in Proceedings of the Third ECCOMAS Computational Fluid Dynamics Conference, 9-13 September 1996, Paris, France, eds., J.-A. Desideri, C.Hirsch, P.Le Tallec, M.Pandolfi, and J.Periaux, pp. 1025-1031, Chichester, (1996), Wiley
  • [10] Hansbo P., Johnson C., Adaptive streamline diffusion method for compressible fow using conseivation variables, Computer Methods in Applied Mechanics and Engineering, 87, 267-280, (1991)
  • [11] Eriksson K., Johnson C., Adaptive streamline diffusion finite element methods for stationary convection diffusion problems, Mathematics of Computation, 60, 167-188, (1993)
  • [12] Demkowicz L., Oden J. T., Rachowicz W., Hardy O., Towards a universal rm h-p adaptive finite element strategy, Part. 1 Constrained approximation and data structure, Computer Methods in Applied Mechanics and Engineering, 77, 79-112, (1989)
  • [13] Banas K., Plazek J., Parallel h-adaptive simulations of inviscid flows by the finite element method, Mechanika Teoretyczna i Stosowana, 35, 249-262, (1997)
  • [14] Plazek J., Banas K., Kitowski J., Boryczko K., Exploiting two-level parallelism in FEM applications, in Proceedings of the International Conference on High Performance Computing and Networking, Vien, Austria, April 1997, eds., B. Hertzberger and P. Sloot, pp. 272-281, Springer
  • [15] Dervieux A., v.Leer B., Periaux J., Rizzi A. (eds.), Numerical simulation of compressible Euler flows, Vieweg, Braunschweig, 1989
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0018-0016
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