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 Ońate, 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 Ųiseth, 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.