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Multiphysics in Porous Materials

Author: Zhen Liu, Ph.D.
Publisher: Cham, Switzerland : Springer, [2018] ©2018
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Liu, Zhen, Ph.D.
Multiphysics in Porous Materials.
Cham, Switzerland : Springer, [2018]
(OCoLC)1034622688
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Zhen Liu, Ph.D.
ISBN: 9783319930282 3319930281
OCLC Number: 1044733613
Description: 1 online resource
Contents: Intro; Preface; Contents; Part I: Introduction; Chapter 1: History and Future; Introduction; Multiphysics Is There; Multiphysics Is Coming; Chapter 2: What Is Multiphysics; Introduction; Definitions and Scopes; Definition 1; Definition 2; Definition 3; Definition 4; Definition in This Book; From Monolithic Physics to Multiphysics: Couplings; Physical Fields and Types of Multiphysics; Chapter 3: How to Do Multiphysics; Introduction; Mathematical Model; Discretization; Solution and Postprocessing; Chapter 4: Multiphysics in Porous Materials; Introduction; History; Applications. Chapter 5: How to Use This BookIntroduction; Organization of the Book; Suggestions to Readers; Part II: Mathematical Background; Chapter 6: Tensor and Field; Introduction; From Scalar, Vector to Tensor; Physical Field; Chapter 7: Tensor Analysis; Introduction; Notation; Vector Algebra; Vector Additions and Scalar Multiplication; Products of Vectors; Vector Calculus; Theorems; Basics of Tensor Analysis; Definition; Tensor Product; Identities and Algebra; Contraction and Inner Product; Important Identities in Vector Calculus; Operator and Order of Tensor. Special Combination of Multiple OperatorsDistributivity over Vector Addition; Product of Scalar and Vector; Scalar Triple Product; Vector Triple Product; Chapter 8: Index Notation and Tensor Notation; Introduction; Rules of Index Notation; Tensor Algebra in Index Notation; Calculus Using Index Notation; Examples of Algebraic Manipulations Using Index Notation; Chapter 9: Partial Differential Equations; Introduction; Numerical Simulation and PDEs; Classification of Partial Differential Equations; Common PDEs in Engineering Applications; Linear Equations; Nonlinear Equations. System of Partial Differential EquationsBoundary Conditions and Initial Conditions; Common Types of Boundary Conditions; Confusion About Boundary Conditions; Boundary Conditions in 3D Domains; Boundary Condition Treatments in Computer Programs; Initial Condition; Chapter 10: Numerical Solution of PDEs; Introduction; Solve PDEs with MATLAB PDE Toolbox; A PDE Implementation Tool: FlexPDE; Part III: Monolithic Physics; Chapter 11: Thermo: Heat Transfer; Introduction; General Background for Continuum Mechanics; Representative Elementary Volume; Conservation Law; Heat Transfer in Continua. Heat Transfer in Porous MaterialsHeat Capacity; Thermal Conductivity; Thermal Diffusivity; Boundary Conditions; Practice Problem; Problem Description; Solution; Appendix: MATLAB Code; Chapter 12: Hydro: Pore Water Movement; Introduction; Groundwater Movement; Mass Balance; Darcyś Law; Narrow Definition for Special Case; General Definition for Porous Materials; Derivation of Governing Equation; Water Flow in Unsaturated Zones; Derivation; Formulations; Head Based; Saturation Based; Mixed Saturated-Unsaturated Flow; Surface Flow; Practice Problem; Experiment Description.
Responsibility: Zhen (Leo) Liu.

Abstract:

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  Read more...

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