Numerical Simulations of Coupled Problems in Engineering by Sergio R. Idelsohn

By Sergio R. Idelsohn

This e-book offers and discusses mathematical versions, numerical equipment and computational options used for fixing coupled difficulties in technological know-how and engineering. It takes a breakthrough within the formula and resolution of real-life issues of a multidisciplinary imaginative and prescient, accounting for all the complicated couplings occupied with the actual description. Simulation of multifaceted physics difficulties is a typical job in utilized study and undefined. usually an appropriate solver is outfitted via connecting jointly numerous single-aspect solvers right into a community. during this publication, learn in quite a few fields was once chosen for attention: adaptive technique for multi-physics solvers, multi-physics phenomena and coupled-field recommendations, resulting in computationally extensive structural research. The concepts that are used to maintain those difficulties computationally cheap are of specific curiosity, and make this an important book.

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The presented ALE model has been validated by two different means. It has been compared first with an equivalent Lagrangian model during the beginning of the simulations. Secondly, the ALE results have been compared to the ones computed by DEFORM-2D which makes use of an automatic remeshing procedure. A very good agreement has been observed between these two numerical techniques although they are radically different. Finally, the ALE model of DCET has been used in the frame of a fully-coupled thermomechanical simulation of a semi-solid forming process.

Comparison of the multiscale simulation with anisotropic heterogeneous material and a single-scale model with isotropic homogeneous material properties Fig. 6e-04 s. Comparison of multiscale simulation with anisotropic heterogeneous material (top) and a singlescale model with isotropic homogeneous material properties (bottom) Figs. 18 and 20, respectively. It can be seen that due to preferential orientation of the hard domains more energy is dissipated than in a homogeneous polyurea. To study the dispersion effect we consider an impact onto the polymer plate with initial velocity of 300 m/s.

Another approach, taken by Quarteroni et al. [5] and the REO project at INRIA [3, 4, 19] is to discretize the full fluid-structure coupled problem with solvers working in moving domains. In a seminal paper [11], Nobile and Vergana showed that the problem is well posed and conserves energy. Nevertheless the numerical simulations are expensive [2] and there is room for simplifications. O. fr S. R. 1007/978-3-319-06136-8_3, © Springer International Publishing Switzerland 2014 57 58 O. Pironneau In the special case of aortic flow the geometry does not change much.

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