Computation of two-phase flow in steam generator using Domain Decomposition and Local Zoom methods

We present flow simulations in the Steam Generator of a pressurized water nuclear reactor using Domain Decomposition Methods (DDM) and Local Zoom methods on workstation cluster. Concerning the DDM, we use a Dirichlet–Neumann approach jointly with FEM for averaged mixture balance equations. The algor...

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Published in:	Nuclear engineering and design Vol. 213; no. 2; pp. 223 - 239
Main Authors:	Belliard, M., Grandotto, M.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.04.2002 Elsevier
Subjects:	Algorithms Applied sciences Computational methods Computer simulation Energy Energy. Thermal use of fuels Engineering Sciences Exact sciences and technology Finite element method Fission nuclear power plants Fluids mechanics Installations for energy generation and conversion: thermal and electrical energy Iterative methods Mechanics Steam generators Two phase flow Two phase flow Domain decomposition Modeling Computing method Steam generator Pressurized water reactor Nuclear reactor Domain Decomposition Method Zoom Steam Generator Local Hierarchical Multigrid LDC Method Two-phase Flows
ISSN:	0029-5493, 1872-759X
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Abstract	We present flow simulations in the Steam Generator of a pressurized water nuclear reactor using Domain Decomposition Methods (DDM) and Local Zoom methods on workstation cluster. Concerning the DDM, we use a Dirichlet–Neumann approach jointly with FEM for averaged mixture balance equations. The algorithm, based on parallel or sequential iteration-by-subdomain method, works with overlapping or nonoverlapping subdomains and with conforming or nonconforming meshing. With DDM, the computational problem size is easily increased to about 100,000 mesh cells and the CPU time is strongly reduced. Concerning the Local Zoom computations, the used Local Defect Correction (LDC) method, in 3D local hierarchical multigrid context, is shown. The LDC computation results are compared with the classical full domain computation results (with high or low spatial resolution). We conclude in an improvement of the accuracy on the full domain with a high coherence between the zoom and the full domain.
AbstractList	We present flow simulations in the Steam Generator of a pressurized water nuclear reactor using Domain Decomposition Methods (DDM) and Local Zoom methods on workstation cluster. Concerning the DDM, we use a Dirichlet–Neumann approach jointly with FEM for averaged mixture balance equations. The algorithm, based on parallel or sequential iteration-by-subdomain method, works with overlapping or nonoverlapping subdomains and with conforming or nonconforming meshing. With DDM, the computational problem size is easily increased to about 100,000 mesh cells and the CPU time is strongly reduced. Concerning the Local Zoom computations, the used Local Defect Correction (LDC) method, in 3D local hierarchical multigrid context, is shown. The LDC computation results are compared with the classical full domain computation results (with high or low spatial resolution). We conclude in an improvement of the accuracy on the full domain with a high coherence between the zoom and the full domain. We present flow simulations in the Steam Generator of a pressurised water nuclear reactor using Domain Decomposition (DDM) and local zoom methods on workstation cluster. Concerning the DDM, we use a Dirichlet-Neumann approach jointly with FEM for averaged mixture balance equations. The algorithm, based on parallel or sequential iteration-by-subdomain method, works with overlapping or nonoverlapping subdomains and with conforming or nonconforming meshing. With DDM, the computational problem size is easily enhanced to about 100,000 mesh cells and the CPU time is strongly reduced. Concerning the Local Zoom computations, the used Local Defect Correction Method (LDC), in 3D local hierarchical multigrid context, is shown. The LDC computation results are compared with the classical full domain computation results (with high or low spatial resolution). We conclude to an improvement of the accuracy on the full domain with a high coherence between the zoom and the full domain. We present flow simulations in the Steam Generator of a pressurized water nuclear reactor using Domain Decomposition Methods (DDM) and Local Zoom methods on workstation cluster. Concerning the DDM, we use a Dirichlet-Neumann approach jointly with FEM for averaged mixture balance equations. The algorithm, based on parallel or sequential iteration-by-subdomain method, works with overlapping or nonoverlapping subdomains and with conforming or nonconforming meshing. With DDM, the computational problem size is easily increased to about 100,000 mesh cells and the CPU time is strongly reduced. Concerning the Local Zoom computations, the used Local Defect Correction (LDC) method, in 3D local hierarchical multigrid context, is shown. The LDC computation results are compared with the classical full domain computation results (with high or low spatial resolution). We conclude in an improvement of the accuracy on the full domain with a high coherence between the zoom and the full domain. copyright 2002 Published by Elsevier Science B.V.
Author	Belliard, M. Grandotto, M.
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Keywords	Two phase flow Domain decomposition Modeling Computing method Steam generator Pressurized water reactor Nuclear reactor Domain Decomposition Method Zoom Steam Generator Local Hierarchical Multigrid LDC Method Two-phase Flows
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References	international program. In: Third International Topical Meeting on nuclear power plant thermohydraulics and operations, Seoul. Obry, P., Cheissoux, J., Grandotto, M., Gaillard, J., De Langre, E., Bernard, M., November 1990. An advanced steam generators design 3d code. In: ASME Winter Annual Meeting. Dallas, TX, USA. Brandt (BIB3) 1977; 31 Hackbusch (BIB11) 1984; 5 Grandotto, Obry (BIB7) 1996; 5 Gresho, P., Chan, S., 1990. On the theory of semi implicit projection methods for viscous incompressible flow and its implementation via finite element method that also introduces a nearly consistent matrix, Int. J. Num. Methods Fluids 11 (5) 587–659. Hughes, E., Chen, F., 1977. Transient three dimensional thermalhydraulic analysis of homogeneous two phase flows in heat exchangers. In: AICHE National Heat Transfer Conference, PWR Steam Generators. Quarteroni, A., 1990. Domain decomposition method for the numerical solution of partial differential equations. Tech. Rep. UMSI90/246, Supercomputer Institute, University of Minnesota. De Gramont, T., Toumi, I., 1996. ISAS User's Guide. Tech. Rep. SERMA/LETR/96/1955, CEA, Saclay, France. Gresho, Chan, Lee, Upson (BIB8) 1984; 4 Gresho, Lee, Sani (BIB10) 1978; 3 Angot, Caltagirone, Khadra (BIB1) 1992; 315 Angot, P., Caltagirone, J.P., Khadra, K., 1993. A comparison of locally adaptive multigrid methods: L.D.C., F.A.C. and F.I.C. In: NASA Conf. Publ. CP-3224, vol. 1, pp. 275–292. Grandotto, M., Bernard, M., Gaillard, J., Cheissoux, J., De Langre, E., November 1989. A 3d finite element analysis for solving two phase flow problems in PWR steam generators. In: 7th International Conference on Finite Element Methods in Flow Problems, Huntsville, Alabama, USA. Le Tallec, P., 1994. Domain decomposition methods in computational mechanics. Vol. 1 of Computational Mechanics advances. North-Holland, Elsevier Science, pp. 121–220. Campan, J., Bouchter, J., April 1988. Steam generator experiment for advanced computer code qualification 10.1016/S0029-5493(01)00509-X_BIB4 10.1016/S0029-5493(01)00509-X_BIB2 Brandt (10.1016/S0029-5493(01)00509-X_BIB3) 1977; 31 Hackbusch (10.1016/S0029-5493(01)00509-X_BIB11) 1984; 5 10.1016/S0029-5493(01)00509-X_BIB13 10.1016/S0029-5493(01)00509-X_BIB12 Grandotto (10.1016/S0029-5493(01)00509-X_BIB7) 1996; 5 10.1016/S0029-5493(01)00509-X_BIB9 Angot (10.1016/S0029-5493(01)00509-X_BIB1) 1992; 315 10.1016/S0029-5493(01)00509-X_BIB5 10.1016/S0029-5493(01)00509-X_BIB6 Gresho (10.1016/S0029-5493(01)00509-X_BIB8) 1984; 4 10.1016/S0029-5493(01)00509-X_BIB15 10.1016/S0029-5493(01)00509-X_BIB14 Gresho (10.1016/S0029-5493(01)00509-X_BIB10) 1978; 3
References_xml	– volume: 31 start-page: 333 year: 1977 end-page: 390 ident: BIB3 article-title: Multi-level adaptive solutions to boundary-value problems publication-title: Math. Comput. – volume: 5 start-page: 53 year: 1996 end-page: 74 ident: BIB7 article-title: Calculs des écoulements diphasiques dans les échangeurs par une méthode aux éléments finis publication-title: Revue Européenne des Eléments Finis – volume: 4 start-page: 557 year: 1984 end-page: 598 ident: BIB8 article-title: A modified finite element method for solving the time dependent, incompressible Navier Stokes equations (Part 1: Theory) publication-title: Int. J. Num. Methods Fluids – volume: 5 start-page: 89 year: 1984 end-page: 113 ident: BIB11 publication-title: Local Defect Correction Method and Domain Decomposition Techniques – volume: 3 start-page: 335 year: 1978 end-page: 350 ident: BIB10 article-title: Advection-dominated flows with emphasis on the consequences of mass lumping publication-title: Finite Elem. Fluids – reference: Campan, J., Bouchter, J., April 1988. Steam generator experiment for advanced computer code qualification: – reference: De Gramont, T., Toumi, I., 1996. ISAS User's Guide. Tech. Rep. SERMA/LETR/96/1955, CEA, Saclay, France. – reference: Obry, P., Cheissoux, J., Grandotto, M., Gaillard, J., De Langre, E., Bernard, M., November 1990. An advanced steam generators design 3d code. In: ASME Winter Annual Meeting. Dallas, TX, USA. – reference: Gresho, P., Chan, S., 1990. On the theory of semi implicit projection methods for viscous incompressible flow and its implementation via finite element method that also introduces a nearly consistent matrix, Int. J. Num. Methods Fluids 11 (5) 587–659. – reference: international program. In: Third International Topical Meeting on nuclear power plant thermohydraulics and operations, Seoul. – reference: Quarteroni, A., 1990. Domain decomposition method for the numerical solution of partial differential equations. Tech. Rep. UMSI90/246, Supercomputer Institute, University of Minnesota. – volume: 315 start-page: 739 year: 1992 end-page: 745 ident: BIB1 article-title: Une méthode adaptative de raffinement local: la correction du flux à l' interface publication-title: C.R. Acad. Sci. Paris Sér. I – reference: Grandotto, M., Bernard, M., Gaillard, J., Cheissoux, J., De Langre, E., November 1989. A 3d finite element analysis for solving two phase flow problems in PWR steam generators. In: 7th International Conference on Finite Element Methods in Flow Problems, Huntsville, Alabama, USA. – reference: Hughes, E., Chen, F., 1977. Transient three dimensional thermalhydraulic analysis of homogeneous two phase flows in heat exchangers. In: AICHE National Heat Transfer Conference, PWR Steam Generators. – reference: Le Tallec, P., 1994. Domain decomposition methods in computational mechanics. Vol. 1 of Computational Mechanics advances. North-Holland, Elsevier Science, pp. 121–220. – reference: Angot, P., Caltagirone, J.P., Khadra, K., 1993. A comparison of locally adaptive multigrid methods: L.D.C., F.A.C. and F.I.C. In: NASA Conf. Publ. CP-3224, vol. 1, pp. 275–292. – volume: 31 start-page: 333 issue: 138 year: 1977 ident: 10.1016/S0029-5493(01)00509-X_BIB3 article-title: Multi-level adaptive solutions to boundary-value problems publication-title: Math. Comput. doi: 10.1090/S0025-5718-1977-0431719-X – ident: 10.1016/S0029-5493(01)00509-X_BIB14 – ident: 10.1016/S0029-5493(01)00509-X_BIB15 – ident: 10.1016/S0029-5493(01)00509-X_BIB13 – ident: 10.1016/S0029-5493(01)00509-X_BIB2 – ident: 10.1016/S0029-5493(01)00509-X_BIB9 doi: 10.1002/fld.1650110509 – volume: 3 start-page: 335 year: 1978 ident: 10.1016/S0029-5493(01)00509-X_BIB10 article-title: Advection-dominated flows with emphasis on the consequences of mass lumping publication-title: Finite Elem. Fluids – volume: 4 start-page: 557 year: 1984 ident: 10.1016/S0029-5493(01)00509-X_BIB8 article-title: A modified finite element method for solving the time dependent, incompressible Navier Stokes equations (Part 1: Theory) publication-title: Int. J. Num. Methods Fluids doi: 10.1002/fld.1650040608 – ident: 10.1016/S0029-5493(01)00509-X_BIB5 – ident: 10.1016/S0029-5493(01)00509-X_BIB6 – ident: 10.1016/S0029-5493(01)00509-X_BIB4 – ident: 10.1016/S0029-5493(01)00509-X_BIB12 – volume: 5 start-page: 89 year: 1984 ident: 10.1016/S0029-5493(01)00509-X_BIB11 – volume: 315 start-page: 739 year: 1992 ident: 10.1016/S0029-5493(01)00509-X_BIB1 article-title: Une méthode adaptative de raffinement local: la correction du flux à l' interface publication-title: C.R. Acad. Sci. Paris Sér. I – volume: 5 start-page: 53 issue: 1 year: 1996 ident: 10.1016/S0029-5493(01)00509-X_BIB7 article-title: Calculs des écoulements diphasiques dans les échangeurs par une méthode aux éléments finis publication-title: Revue Européenne des Eléments Finis
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Snippet	We present flow simulations in the Steam Generator of a pressurized water nuclear reactor using Domain Decomposition Methods (DDM) and Local Zoom methods on... We present flow simulations in the Steam Generator of a pressurised water nuclear reactor using Domain Decomposition (DDM) and local zoom methods on...
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SubjectTerms	Algorithms Applied sciences Computational methods Computer simulation Energy Energy. Thermal use of fuels Engineering Sciences Exact sciences and technology Finite element method Fission nuclear power plants Fluids mechanics Installations for energy generation and conversion: thermal and electrical energy Iterative methods Mechanics Steam generators Two phase flow
Title	Computation of two-phase flow in steam generator using Domain Decomposition and Local Zoom methods
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