By Francisco Chinesta, Elías Cueto
This ebook makes a speciality of the improvement of a brand new simulation paradigm bearing in mind the answer of versions that in the past have by no means been resolved and which lead to striking CPU time discount rates (in the order of thousands) that, mixed with supercomputing, may perhaps revolutionize destiny ICT (information and conversation applied sciences) on the center of technological know-how and expertise. The authors have lately proposed a brand new paradigm for simulation-based engineering sciences referred to as right Generalized Decomposition, PGD, which has proved a massive power in lots of features of forming method simulation. during this publication a assessment of the fundamentals of the approach is made, including various examples of application.
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Extra info for PGD-Based Modeling of Materials, Structures and Processes
Mokdad, E. Pruliere, A. Ammar, F. Chinesta, On the simulation of kinetic theory models of complex fluids using the Fokker-Planck approach. Appl. Rheol. 17(2), 1–14, 26494 (2007) 33. A. Ammar, B. Mokdad, F. Chinesta, R. Keunings, A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids (Part II). J. Nonnewton. Fluid Mech. 144, 98–121 (2007) 34. A. Ammar, E. Pruliere, F. Chinesta, M. Laso, Reduced numerical modeling of flows involving liquid-crystalline polymeres.
Comput. Methods Programs Biomed. 105, 1–12 (2012) 61. S. Niroomandi, I. Alfaro, D. Gonzalez, E. Cueto, F. Chinesta, Real time simulation of surgery by reduced order modelling and X-FEM techniques. Int. J. Numer. Meth. Biomed. Eng 28(5), 574–588 (2012) 62. D. Gonzalez, E. Cueto, F. Chinesta, P. Diez, A. Huerta, SUPG-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations. Int. J. Numer. Meth. Eng. 94(13), 1216–1232 (2013) 63. A. Ammar, F. Chinesta, P.
19, 53–64 (2010) 42. H. Lamari, A. Ammar, A. Leygue, F. Chinesta, On the solution of the multidimensional Langer’s equation by using the proper generalized decomposition method for modeling phase transitions. Model. Simul. Mater. Sci. Eng. 20, 015007 (2012) 43. E. Pruliere, F. Chinesta, A. Ammar, A. Leygue, A. Poitou, On the solution of the heat equation in very thin tapes. Int. J. Therm. Sci. 65, 148–157 (2013) 44. B. Bognet, A. Leygue, F. Chinesta, A. Poitou, F. Bordeu, Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity.
PGD-Based Modeling of Materials, Structures and Processes by Francisco Chinesta, Elías Cueto