Multiphysics in Porous Materials

ISBN-13: 9783319930275 / Angielski / Twarda / 2018 / 436 str.

Zhen Liu

Opis

This book summarizes, defines, and contextualizes multiphysics with an emphasis on porous materials. The emphasis on porous materials maximizes readers' understanding as these substances are abundant in nature and a common breeding ground of multiphysical phenomena, especially complicated multiphysics.

Spis treści

Part 1 Introduction

Chapter 1 History and Future

Chapter 2 What is Multiphysics

Chapter 3 How to Do Multiphysics

Chapter 4 Multiphysics in Porous Materials

Chapter 5 How to Use this Book

Part 2 Mathematical Background

Chapter 6 Tensor and Field

Chapter 7 Tensor Analysis

Chapter 8 Index Notation and Tensor Notation

Chapter 9 Partial Differential Equations

Chapter 10 Numerical Solution of PDEs

Part 3 Monolithic Physics

Chapter 11 Thermo: Heat Transfer

Chapter 12 Hydro: Pore Water Movement

Chapter 13 Concentrato: Transport of Dispersed Mass

Chapter 14 Mechano: Stress and Strain

Chapter 15 Dyno: Dynamics

Chapter 16 Chemico: Chemical Reaction

Chapter 17 Electro: Electrostatics

Chapter 18 Magneto: Magnetostatics

Part 4 Multiphysics

Chapter 19 Thermomechanics: Non-Isothermal Mechanics

Chapter 20 Hydromechanics: Poroelasticity as a Simple Case

Chapter 21 Thermohydromechanics

Chapter 22 Electrokinetics

Chapter 23 Electromagnetics

Chapter 24 Fluid Dynamics

Chapter 25 Hydrodynomechanics: Fluid-Structure Interaction

Chapter 26 Thermoelectromagnetics

Chapter 27 Electromagnetomechanics

Part 5 Implementation Methods

Chapter 28 Finite Difference Method

Chapter 29 Finite Volume Method

Chapter 30 Finite Element Method

References

Index

O autorze

Dr. Zhen Liu is a faculty member at Michigan Technological University in Houghton, Michigan. Dr. Liu has over ten years of experience in various multiphysics topics including thermomechanics, thermohydromechanical processes, poroelasticity, electrokinetics, fluid-structure interaction, non-isothermal buoyancy-driven flow, mechanical and electromagnetic waves, heating with electromagnetics, piezoelectric and triboelectric applications, and so on. His work has been applied to the safety, sustainability, energy, and artificial intelligence aspects of geosystems consisting of porous materials such as soils and cement-based materials. In addition, Dr. Liu has been focusing on the scientific understanding of couplings between physical fields in porous materials such as the stress formulation, thermally-induced water flux, wettability and adsorption of minerals, electrokinetic fluxes, and phase changes. Besides research, Dr. Liu has been offering one of the first graduate-level multiphysics courses with a focus on the mathematics, physics, application, and implementations of multiphysics around the world. He has also been leading a community-level education and outreach effort for developing a general learning and networking website for multiphysics.

Blurb

This book summarizes, defines, and contextualizes multiphysics with an emphasis on porous materials. It covers various essential aspects of multiphysics, from history, definition, and scope to mathematical theories, physical mechanisms, and numerical implementations. The emphasis on porous materials maximizes readers’ understanding as these substances are abundant in nature and a common breeding ground of multiphysical phenomena, especially complicated multiphysics. Dr. Liu’s lucid and easy-to-follow presentation serve as a blueprint on the use of multiphysics as a leading edge technique for computer modeling.  The contents are organized to facilitate the transition from familiar, monolithic physics such as heat transfer and pore water movement to state-of-the-art applications involving multiphysics, including poroelasticity, thermohydro-mechanical processes, electrokinetics, electromagnetics, fluid dynamics, fluid structure interaction, and electromagnetomechanics. This volume serves as both a general reference and specific treatise for various scientific and engineering disciplines involving multiphysics simulation and porous materials.

• Presents the essential components of multiphysics along with innovative numerical modeling techniques in the context of porous materials;

 

• Structured for a wide range of readers from those new to the field to experts, instructors, researchers, software developers, and modelers from many scientific and engineering disciplines;

 

• Organized using a practical approach that combines a logical presentation of theories with illustrative hands-on example problems;

 

• Reinforces multiphysics concepts with applications demonstrating the use of common software to solve representative problems.