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Solving computational fluid dynamics problems on unstructured grids with distributed parallel processing

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Parallel Algorithms for Irregularly Structured Problems (IRREGULAR 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 980))

Abstract

This paper describes a distributed parallel implementation of a finite element method for simulating incompressible viscous flows. When applied to unstructured finite element meshes, a conventional implementation of this algorithm becomes particularly space demanding for the storage of system matrices. This parallel implementation not only results in a faster computation but is also potentially capable of solving much larger problems as data and system matrix blocks are distributed. Experimental results demonstrating these key features are presented.

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References

  1. R. Temam. Navier-Stokes Equations: Theory and Numerical Analysis. North-Holland Publishing Company, Amsterdam, 1977.

    Google Scholar 

  2. H.R. Tamaddon-Jahromi, P. Townsend, and M.F. Webster. Numerical solution of unsteady viscous flows. Computer Methods in Appliend Mechanics and Engineering, 95:301–315, 1992.

    Article  Google Scholar 

  3. D.M. Hawken, H.R. Tamaddon-Jahromi, P. Townsend, and M.F. Webster. A Taylor-Galerkin-based algorithm for viscous incompressible flow. Int. J. Num. Meth. Fluids, 10:327–351, 1990.

    Google Scholar 

  4. P. Townsend and M.F. Webster. An algorithm for the three-dimensional transient simulation of non-Newtonian fluid flows. In G.N. Pande and J. Middleton, editors, Proc. Int. Conf. Num. Meth. Eng.: Theory and Applications, volume II, pages T12/1–11, Swansea, 1987. NUMETA, Nijhoff, Dordrecht.

    Google Scholar 

  5. L.A. Hageman and D.M. Young. Applied Iterative Methods. Academic Press, London, 1981.

    Google Scholar 

  6. D. Ding, P. Townsend, and M.F. Webster. Iterative solutions of Taylor-Galerkin augmented mass matrix equations. Int. J. Num. Meth. Eng., 35:241–253, 1992.

    Google Scholar 

  7. J.H. Wilkinson and C. Reinsch. Handbook for Automatic Computation, Linear Algebra, volume II. Springer-Verlag, New York, 1971.

    Google Scholar 

  8. H.D. Simon. Partitioning of unstructured problems for parallel processing. Computer Systems in Engineering, 2:135–148, 1991.

    Article  Google Scholar 

  9. P. W. Grant, J. A. Sharp, M. F. Webster, and X. Zhang. Some relevant parallelisation approaches. Technical Report DPP-3, DPP Group, Dept. Computer Science, University of Wales, Swansea, 1994.

    Google Scholar 

  10. S. W. Sloan. An Algorithm for Profile and Wavefront Reduction of Sparse Matrices. Int. J. Num. Meth. Eng., 23:239–251, 1986.

    Google Scholar 

  11. P.W. Grant, M.F. Webster, and X. Zhang. Distributed storage of Choleski factors for parallel computing. Technical report, Dept. Computer Science, University of Wales, Swansea, UK, 1995.

    Google Scholar 

  12. Joseph W.H. Liu. A generalized envelope method for sparse factorization by rows. ACM Trans. on Math. Software, 17:112–129, March 1991.

    Article  Google Scholar 

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Afonso Ferreira José Rolim

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© 1995 Springer-Verlag Berlin Heidelberg

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Grant, P.W., Webster, M.F., Zhang, X. (1995). Solving computational fluid dynamics problems on unstructured grids with distributed parallel processing. In: Ferreira, A., Rolim, J. (eds) Parallel Algorithms for Irregularly Structured Problems. IRREGULAR 1995. Lecture Notes in Computer Science, vol 980. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60321-2_16

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  • DOI: https://doi.org/10.1007/3-540-60321-2_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60321-4

  • Online ISBN: 978-3-540-44915-7

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