Multiphysics in Porous Materials

✍ Scribed by Zhen (Leo) Liu

• Publisher: Springer International Publishing
• Year: 2018
• Tongue: English
• Leaves: 431
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xvi
Front Matter ....Pages 1-1
History and Future (Zhen (Leo) Liu)....Pages 3-7
What Is Multiphysics (Zhen (Leo) Liu)....Pages 9-20
How to Do Multiphysics (Zhen (Leo) Liu)....Pages 21-28
Multiphysics in Porous Materials (Zhen (Leo) Liu)....Pages 29-34
How to Use This Book (Zhen (Leo) Liu)....Pages 35-38
Front Matter ....Pages 39-39
Tensor and Field (Zhen (Leo) Liu)....Pages 41-44
Tensor Analysis (Zhen (Leo) Liu)....Pages 45-59
Index Notation and Tensor Notation (Zhen (Leo) Liu)....Pages 61-65
Partial Differential Equations (Zhen (Leo) Liu)....Pages 67-78
Numerical Solution of PDEs (Zhen (Leo) Liu)....Pages 79-89
Front Matter ....Pages 91-91
Thermo: Heat Transfer (Zhen (Leo) Liu)....Pages 93-104
Hydro: Pore Water Movement (Zhen (Leo) Liu)....Pages 105-121
Concentrato: Transport of Dispersed Mass (Zhen (Leo) Liu)....Pages 123-138
Mechano: Stress and Strain (Zhen (Leo) Liu)....Pages 139-156
Dyno: Dynamics (Zhen (Leo) Liu)....Pages 157-172
Chemico: Chemical Reaction (Zhen (Leo) Liu)....Pages 173-180
Electro: Electrostatics (Zhen (Leo) Liu)....Pages 181-194
Magneto: Magnetostatics (Zhen (Leo) Liu)....Pages 195-205
Front Matter ....Pages 207-207
Thermomechanics: Non-isothermal Mechanics (Zhen (Leo) Liu)....Pages 209-218
Hydromechanics: Poroelasticity as a Simple Case (Zhen (Leo) Liu)....Pages 219-235
Thermohydromechanics (Zhen (Leo) Liu)....Pages 237-248
Electrokinetics (Zhen (Leo) Liu)....Pages 249-273
Electromagnetics (Zhen (Leo) Liu)....Pages 275-296
Fluid Dynamics (Zhen (Leo) Liu)....Pages 297-317
Hydrodynomechanics: Fluid-Structure Interaction (Zhen (Leo) Liu)....Pages 319-332
Thermoelectromagnetics (Zhen (Leo) Liu)....Pages 333-349
Electromagnetomechanics (Zhen (Leo) Liu)....Pages 351-365
Front Matter ....Pages 367-367
Finite Difference Method (Zhen (Leo) Liu)....Pages 369-384
Finite Volume Method (Zhen (Leo) Liu)....Pages 385-395
Finite Element Method (Zhen (Leo) Liu)....Pages 397-417
Back Matter ....Pages 419-436

✦ Subjects

Materials Science; Characterization and Evaluation of Materials; Simulation and Modeling; Mathematical and Computational Engineering; Partial Differential Equations