Abstract
N3S is a three-dimensional incompressible Navier-Stokes finite element code developped at EDF for the study of industrial flows*). The treatment of complex geometries, the number of nodes (up to 50000) led us to decompose the problem at different levels (geometry, algorithm and numeric). The use of the splitting up technique allows a specific and efficient treatment to be applied to each part of the Navier-Stokes equations:
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method of characteristics for the advection terms,
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conjugate gradient method for the diffusion-continuity part.
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J.P. BENQUE, P. ESPOSITO, G. LABADIE — New Decomposition Finite Element Methods for the Stokes Problem and the Navier-Stokes Equations Numerical Methods in Laminar and Turbulent Flow (August 1933, Seattle, USA).
J.P. GREGOIRE, J.P. BENQUE, P. LASBLEIZ, J. GOUSSEBAILE — 3D Industrial Flows Calculations by Finite Element Method 9th International Conference on Numerical Methods in Fluid Dynamics (June 1984, Saclay, France).
J.P. BENQUE, J.P. GREGOIRE, A. HAUGUEL, M. MAXANT — Application des méthodes de decomposition aux calculs numériques en hydraulique industrielle — 6ème Colloque International sur les méthodes de calculs Scientifiques et Techniques (Décembre 1983, Versailles, France).
J. GOUSSEBAILE, J.P. GREGOIRE, A. HAUGUEL — Iterative Stokes Solvers and Splitting Technics for Industrial Flows — 5th International Symposium on Finite Element Methods in Flow Problems (January 1984, Austin, USA).
J. GOUSSEBAILE, A. JACOMY, A. HAUGUEL, J.P. GREGOIRE — A Finite Element Algorithm for Turbulent Flow Processing a K-ε Model — Numerical Methods in Laminar and Turbulent Flow (July 1985, Swansea, U.K.).
M.A. AJIZ, A. JENNINGS — A Robust Incomplete Choleski — Conjugate Gradient Algorithm — International Journal of Numerical Methods in Engineering (vol. 20, pp. 949–966, 1984).
P. GILL, W. MURRAY, M. SAUNDERS, M. WRIGHT — Sparse Matrix Methods in Optimization — Siam Journal (vol. 5, n°3, September 1984).
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© 1986 Springer Fachmedien Wiesbaden
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Hemmerich, P., Goussebaile, J., Gregoire, J.P., Lasbleiz, P., ELECTRICITE de FRANCE. (1986). N3S : A 3D Finite Element Code for Fluid Mechanics; Emphasis to Vectorization and Sparse Matrix Problems. In: Schönauer, W., Gentzsch, W. (eds) The Efficient Use of Vector Computers with Emphasis on Computational Fluid Dynamics. Notes on Numerical Fluid Mechanics, vol 12. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13912-6_12
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DOI: https://doi.org/10.1007/978-3-663-13912-6_12
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08086-0
Online ISBN: 978-3-663-13912-6
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