Comparison of multimesh hp-FEM to interpolation and projection methods for spatial coupling of thermal and neutron diffusion calculations

Journal of Computational Physics

Volumn 230, Issue 4, 2011, Pages 1182-1197

  Dubcova, Lenka ^a   Solin, Pavel ^a,b   Hansen, Glen ^c   Park, HyeongKae ^c  

^a INSTITUTE OF THERMOMECHANICS   (Czech Republic)

^b UNIVERSITY OF NEVADA   (United States)

^c IDAHO NATIONAL LABORATORY   (United States)

Author keywords

Coupled diffusion; Multiphysics error; Reactor multiphysics simulation

Indexed keywords

FINITE ELEMENT METHOD; INTERPOLATION; NEUTRON SCATTERING; NEUTRONS; NUCLEAR REACTORS;

COUPLED DIFFUSION; COUPLED PROBLEMS; INTERPOLATION METHOD; MULTI-MESH; MULTI-PHYSICS; MULTIPHYSIC ERROR; MULTIPHYSICS SIMULATIONS; NEUTRONICS; PROJECTION METHOD; REACTOR MULTIPHYSIC SIMULATION;

MULTIPHYSICS;

EID: 78650534036     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.10.034     Document Type: Article

References (19)

1. Babuska I., Guo B.Q. The h, p, and h-p version of the finite element method; basis theory and applications. Advances in Engineering Software 1992, 15:159-174.
2. Babuška I., Suri M. The p and h-p versions of the finite element method, basic principles and properties. SIAM Review 1994, 36:578-632.
3. Demkowicz L. Computing with hp-Adaptive Finite Elements. One and Two Dimensional Elliptic and Maxwell Problems 2006, vol. 1. Chapman & Hall/CRC, Boca Raton, FL.
4. L. Demkowicz, C.-W. Kim, 1D hp-adaptive finite element package, Fortran-90 implementation (1Dhp90), Technical Report TICAM Report 99-38, Texas Institute of Computational and Applied Mathematics, University of Texas, Austin, 1999.
5. Demkowicz L., Rachowicz W., Devloo Ph. A fully automatic hp-adaptivity. Journal of Science and Computation 2002, 17(1-3):127.
6. Dubcova L., Solin P., Cerveny J., Kus P. Space and time adaptive two-mesh hp-FEM for transient microwave heating problems. Electromagnetics 2010, 30(1):23-40.
7. Hansen G., Owen S. Mesh generation technology for nuclear reactor simulation; barriers and opportunities. Nuclear Engineering and Design 2008, 238(10):2590-2605.
8. Jiao X., Heath M.T. Common-refinement-based data transfer between non-matching meshes in multiphysics simulations. International Journal of Numerical Methods in Engineering 2004, 61(14):2402-2427.
9. Karniadakis G., Sherwin S. p- and hp-Finite Element Methods 1998, The Clarendon Press Oxford University Press, New York.
10. Karniadakis G., Sherwin S. Spectral/hp Element Methods for CFD 2005, Oxford University Press, Oxford, U.K.
11. A. Kavenoky, J. Stepanek, F. Schmidt, Benchmark problems, Transport Theory and Advanced Reactor Simulations IAEA-TECDOC-254, International Atomic Energy Agency, 1979.
12. S.J. Owen, G. Hansen, Mesh generation for reactor modelling and simulation: practices, procedures, and uncertainties, in: 20th International Conference on Structural Mechanics in Reactor Technology (SMiRT 20), paper 2028, Espoo (Helsinki), Finland, August 9-14, 2009.
13. Solin P., Cerveny J., Dolezel I. Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM. Mathematics and Computers in Simulation 2008, 77:117-132.
14. Solin P., Cerveny J., Dubcova L., Andrs D. Monolithic discretization of linear thermoelasticity problems via adaptive multimesh hp-FEM. Journal of Computational and Applied Mathematics 2010, 234:2350-2357.
15. Solin P., Dubcova L., Kruis J. Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems. Journal of Computational and Applied Mathematics 2010, 233:3103-3112.
16. P. Solin et al., Hermes2D: benchmarks with known exact solution, 2010. Available from http://hpfem.org/hermes/doc/src/hermes2d/benchmarks.html.
17. P. Solin et al., Hermes3D: benchmarks with known exact solution, 2010. Available from http://hpfem.org/hermes/doc/src/hermes3d/benchmarks.html.
18. Solin P., Segeth K., Dolezel I. Higher-Order Finite Element Methods 2003, Chapman & Hall/CRC Press, Philadelphia, PA.
19. Wang Y., Ragusa J. Application of hp adaptivity to the multigroup diffusion equations. Nuclear Science and Engineering 2009, 161:22-48.