---

This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering. It takes a step forward in the formulation and solution of real-life problems with a multidisciplinary vision, accounting for all of the complex couplings involved in the physical description. Simulation of multifaceted physics problems is a common task in applied research and industry. Often a suitable solver is built by connecting together several single-aspect solvers into a network. In this book, research in various fields was selected for consideration: adaptive methodology for multi-physics solvers, multi-physics phenomena and coupled-field solutions, leading to computationally intensive structural analysis. The strategies which are used to keep these problems computationally affordable are of special interest, and make this an essential book.

---

Preface.- I Non-Linear Materials in Coupled Problems: 1 Generalized viscoplasticity based on overstress (GVBO) for large strain single-scale and multi-scale analyses, by Vasilina Filonova, Yang Liu and Jacob Fish.- 2 Numerical simulation of double cup extrusion test using the arbitrary Lagrangian-Eulerian formalism, by Romain Boman, Roxane Koeune and Jean-Philippe Ponthot.- II Cardiovascular Fluid Mechanics: 3 Simplified fluid-structure interactions for hemodynamics, by Olivier Pironneau.- 4 Patient-specific cardiovascular fluid mechanics analysis with the ST and ALE-VMS methods, by Kenji Takizawa, Yuri Bazilevs, Tayfun E. Tezduyar, Christopher C. Long, Alison L. Marsden and Kathleen Schjodt.- III Particle Methods in Coupled Problems: 5 Direct numerical simulation of particulate flows using a fictitious domain method, by Bircan Avci and Peter Wriggers.- 6 A Particle Finite Element Method (PFEM) for Coupled Thermal Analysis of Quasi and Fully Incompressible Flows and Fluid-Structure Interaction Problems, by Eugenio O¤ate, Alessandro Franci and Josep M. Carbonell.- 7 Numerical simulation and visualization of material flow in friction stir welding via particle tracing, by N. Dialami, Michelle Chiumenti, Miguel Cervera, Carlos Agelet de Saracibar, Jean-Philippe Ponthot and P. Bussetta.- 8 Some considerations on surface condition of solid in computational fluid-structure interaction, by Masao Yokoyama, Kohei Murotani, Genki Yagawa and Osamu Mochizuki.- IV Reduced Order Models: 9 Reduced-Order Modeling strategies for the finite element approximation of the Incompressible Navier-Stokes equations, by Joan Baiges, Ramon Codina and Sergio R. Idelsohn.- 10 A survey of hierarchical model (Hi-Mod) reduction methods for elliptic problems, by Simona Perotto.- V Multi-fluid Flows: 11 On the application of two-fluid flows solver to the casting problem, by Kazem Kamran, Riccardo Rossi, Pooyan Dadvand, Sergio R. Idelsohn.- 12 Recent advances in the Particle Finite Element Method towards more complex fluid flow applications, by Norberto M. Nigro, Juan M. Gimenez and Sergio R. Idelsohn.- VI Fluid-Structure Interactions Problems: 13 Computational engineering analysis and design with ALE-VMS and ST methods, by Kenji Takizawa, Yuri Bazilevs, Tayfun E. Tezduyar, Ming-Chen Hsu, Ole �iseth, Kjell M. Mathisen, Nikolay Kostov and Spenser McIntyre.- 14 Computational wind-turbine analysis with the ALE-VMS and ST-VMS methods, by Yuri Bazilevs, Kenji Takizawa, Tayfun E. Tezduyar, Ming-Chen Hsu, Nikolay Kostov and Spenser McIntyre.- VII Partitioned Method and Parallelization Techniques: 15 Scaling up multi-physics, by Rainald Löhner and Joseph D. Baum.- 16 Partitioned solution of coupled stochastic problems, by Mohammad Hadigol, Alireza Doostan, Hermann G. Matthies and Rainer Niekamp.

---