Compere, Gaetan
[UCL]
Remacle, Jean-François
[UCL]
Jansson, Johan
Hoffman, Johan
In this paper. we identify and propose solutions for several issues encountered when designing a mesh adaptation package, such as mesh-to-mesh projections and mesh database design, and we describe an algorithm to integrate a mesh adaptation procedure in a physics solver. The open-source MAdLib package is presented as an example of such a mesh adaptation library. A new technique combining global node repositioning and mesh optimization in order to perform arbitrarily large deformations is also proposed. We then present several test cases to evaluate the performances of the proposed techniques and to show their applicability to fluid-structure interaction problems with arbitrarily large deformations. Copyright (C) 2009 John Wiley & Sons, Ltd.
- Donea, Encyclopedia of Computational Mechanics, 413 (2004)
- Hron, Computational Methods for Coupled Problems in Science and Engineering, 148 (2005)
- Stein, Journal of Applied Mechanics, 70, 58 (2003)
- Baker, AIAA Journal, 19, 2699 (1999)
- Baker, Engineering with Computers, 18, 188 (2002)
- Cavallo, AIAA Journal, 43, 1937 (2005)
- Dai, Journal of Computational Physics, 208, 228 (2005)
- Compère, Proceedings of the 17th International Meshing Roundtable, 3, 213 (2008)
- Dobrzynski, Proceedings of 17th International Meshing Roundtable, 3, 177 (2008)
- Remacle, International Journal for Numerical Methods in Engineering, 62, 899 (2005)
- Remacle, SIAM Review, 45, 53 (2003)
- Bangerth, ACM Transactions on Mathematical Software, 33, 24 (2007)
- FEniCS. Fenics project, 2003. Available from: http://www.fenics.org.
- COMSOL. Comsol multiphysics, 2009. Available from: http://www.comsol.com.
- Coupez, Computational Plasticity, 1077 (1992)
- Joe, SIAM Journal on Scientific Computing, 10, 718 (1989)
- Briere de l'Isle, Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations, 75, 97 (1993)
- Castro-Diaz MJ, Hecht F, Mohammadi B. New progress in anisotropic grid adaptation for inviscid and viscous flows simulations. Proceedings of Fourth International Meshing Roundtable, Sandia National Laboratory, Albuquerque, NM, 1995.
- de Cougny, International Journal for Numerical Methods in Engineering, 46, 1101 (1999)
- Muller, Computer Methods in Biomechanics and Biomedical Engineering, 8, 295 (2005)
- Remacle, International Journal for Numerical Methods in Fluids, 52, 903 (2006)
- Sahni, Computer Methods in Applied Mechanics and Engineering, 195, 5634 (2006)
- Alauzet, Journal of Computational Physics, 222, 592 (2007)
- Compère, Journal of Computational Physics, 227, 1923 (2008)
- Peraire, Journal of Computational Physics, 103, 269 (1992)
- George, CRC Handbook of Grid Generation, 20.1 (1999)
- Almeida, Computer Methods in Applied Mechanics and Engineering, 182, 379 (2000)
- Geuzaine, International Journal for Numerical Methods in Engineering, 79, 1309 (2009)
- Li, Computer Methods in Applied Mechanics and Engineering, 194, 4915 (2005)
- Li X. Mesh modification procedure for general 3-d non-manifold domains. Ph.D. Thesis, Renselear Polytechnic Institute, 2003.
- Freitag, International Journal for Numerical Methods in Engineering, 40, 3979 (1998)
- Ruppert, Discrete Computational Geometry, 7, 227 (1992)
- Tezduyar, ASME Pressure Vessels and Piping Division Publication PVP, 246, 7 (1992)
- Baker, Engineering with Computers, 18, 188 (2002)
- Balay S, Buschelman K, Gropp WD, Kaushik D, Knepley MG, McInnes LC, Smith BF, Zhang H. PETSc web page, 2009. Available from: http://www.mcs.anl.gov/petsc.
- Pebay, Mathematics of Computation, 72, 1817 (2003)
- Liu, BIT Numerical Mathematics, 34, 268 (1994)
- Liu, Mathematics of Computation, 63, 141 (1994)
- Beall, International Journal for Numerical Methods in Engineering, 40, 1573 (1997)
- Remacle, International Journal for Numerical Methods in Engineering, 58, 349 (2003)
- Musser, STL Tutorial and Reference Guide: C++ Programming with the Standard Template Library (1996)
- Compère G, Remacle JF. Madlib: mesh adaptation library, 2008. Available from: http://www.madlib.be.
- Hoffman J, Jansson J, Stöckli M. Unified continuum modeling of 3d fluidâstructure interaction. Technical Report KTH-CTL-1003, Computational Technology Laboratory, KTH, 2009. Available from: http://www.publ.kth.se/trita/ctl-1/003/index.html.
- Hoffman Johan, Johnson Claes, Computational Turbulent Incompressible Flow, ISBN:9783540465317, 10.1007/978-3-540-46533-1
Bibliographic reference |
Compere, Gaetan ; Remacle, Jean-François ; Jansson, Johan ; Hoffman, Johan. A mesh adaptation framework for dealing with large deforming meshes. In: International Journal for Numerical Methods in Engineering, Vol. 82, no. 7, p. 843-867 (2010) |
Permanent URL |
http://hdl.handle.net/2078.1/33880 |