Mass conservation -- Momentums conservation -- Derivatives for the equations of state -- On the variety of notations of the energy conservation for single-phase flow -- First and second laws of the thermodynamics -- Some simple applications of the mass and energy conservation -- Exergy of multi-phase multi-component systems -- One-dimensional three-fluid flows -- Detonation waves caused by chem…
Grid Generation -- Hybrid unstructured Grid Generation in MEGAFLOW -- Structured Solver FLOWer -- Block Structured Navier-Stokes Solver FLOWer -- Transition Modeling in FLOWer — Transition Prescription and Prediction -- Turbulence Models in FLOWer -- Hybrid Solver TAU -- Overview of the Hybrid RANS Code TAU -- Algorithmic Developments in TAU -- Hybrid Grid Adaptation in TAU -- Turbulence Mode…
Linear Elastic Stress-Strain Relations -- Elastic Constants Based on Micromechanics -- Plane Stress -- Global Coordinate System -- Elastic Constants Based on Global Coordinate System -- Laminate Analysis — Part I -- Laminate Analysis — Part II -- Effective Elastic Constants of a Laminate -- Failure Theories of a Lamina -- to Homogenization of Composite Materials -- to Damage Mechanics of Co…
The notion of quality of a finite element solution -- The constitutive relation error method for linear problems -- Other methods for linear problems -- Principles of the comparison of the various estimators in the linear case -- Mesh adaptation for linear problems -- The constitutive relation error method for nonlinear evolution problems -- The constitutive relation error method in dynamics --…
Some Basics of the Mechanics of Solid Continua -- Fundamental Weak Formulations -- Fundamental Micro–Macro Concepts -- A Basic Finite Element Implementation -- Computational/Statistical Testing Methods -- Various Extensions and Further Interpretations of Partitioning -- Domain Decomposition Analogies and Extensions -- Nonconvex–Nonderivative Genetic Material Design -- Modeling Coupled Multi…
Fundamental Physical and Model Equations -- The Fluid Flow Equations -- The Viscous Fluid Flow Equations -- Curvilinear Coordinates and Transformed Equations -- Overview of Various Formulations and Model Equations -- Basic Principles in Numerical Analysis -- Time Integration Methods -- Numerical Linear Algebra -- Solution Approaches -- Compressible and Preconditioned-Compressible Solvers -- The…
Introduction to Fuzzy Sets and Fuzzy Logic -- Algebras with Fuzzy Equalities -- Fuzzy Equational Logic -- Fuzzy Horn Logic.The book deals with similarity relations defined on a set with functions. The functions are required to map similar elements to similar ones. The book presents basic mathematical properties of structures consisting of similarity-preserving functions and logics for reasoning…
Gain and Absorption: Many-Body Effects -- Fabry-Perot Lasers: Temperature and Many-Body Effects -- Fabry-Perot Lasers: Thermodynamics-Based Modeling -- Distributed Feedback Lasers: Quasi-3D Static and Dynamic Model -- Multisection Lasers: Longitudinal Modes and their Dynamics -- Wavelength Tunable Lasers: Time-Domain Model for SG-DBR Lasers -- Monolithic Mode-Locked Semiconductor Lasers -- Vert…
Mathematical Aspects -- Theory and Applications of Fractal Tops -- Splines, Fractal Functions, and Besov and Triebel-Lizorkin Spaces -- Hölderian random functions -- Fractal Stationary Density in Coupled Maps -- Physics -- A Network of Fractal Force Chains and Their Effect in Granular Materials under Compression -- Percolation and permeability of three dimensional fracture networks with a powe…
Physical and mathematical model concepts -- Efficient numerical methods -- Efficient information-processing techniques -- Applications -- Summary and conclusions.Numerical simulation models have become indispensable in hydro- and environmental sciences and engineering. This monograph presents a general introduction to numerical simulation in environment water based on the solution of the equati…