Computing and Simulation for Engineers

Cover
Half Title
Series Page
Title Page
Copyright Page
Table of Contents
Preface
Editors
Chapter 1 Solar Cell Modeling
Nomenclature
Greek Symbols
Subscripts
Abbreviations
1.1 Introduction
1.2 Solar Cell Layers
1.2.1 Front Layer
1.2.2 Silicon Layer (Cell)
1.2.3 Encapsulant
1.2.4 Rear Layer
1.2.5 Frame
1.3 Solar Cell Modeling
1.3.1 Thermal Modeling
1.3.1.1 Glass Cover Energy Balance
1.3.1.2 Top EVA Energy Balance
1.3.1.3 Cell Energy Balance
1.3.1.4 Bottom EVA–Tedlar Energy Balance
1.3.1.5 Solar Cell Power
1.4 Electrical Modeling
1.4.1 Solar Cell/Battery System
1.4.2 Solar Cell Module Performance Model
1.4.3 Battery Performance Model
1.4.4 Inverter, Charger and Demand Performance Model
1.5 Conclusions
References
Chapter 2 An Explicit Modal Discontinuous Galerkin Approach to Compressible Multicomponent Flows: Application to Shock–Bubble Interaction
Nomenclature
2.1 Introduction
2.2 Computational Modeling for Multicomponent Compressible Flows
2.2.1 Governing Equations
2.2.2 Explicit Modal Discontinuous Galerkin Approach
2.3 Problem Setup for Shock–Bubble Interaction
2.4 Numerical Results and Discussion
2.4.1 Grid Refinement and Validation Study
2.4.2 Visualization of Flow Fields
2.4.3 Dynamics of Vorticity Production
2.5 Concluding Remarks
Acknowledgments
References
Chapter 3 A New High-Order Compact Finite Difference Scheme for One-Dimensional Helmholtz Equation using Dirichlet Boundary Conditions
3.1 Introduction
3.2 Method
3.3 Test Example
3.4 Numerical Results
3.5 Convergence Analysis
3.6 Conclusions
References
Chapter 4 Study of Second Harmonic (SH) Wave Conversion from Fundamental Wave with Plane Wave Approximation
4.1 Introduction
4.2 Theory of Second Harmonic Generation (SHG)
4.3 SHG – Plane Wave
4.4 Results and Discussion
4.5 Conclusions
References
Chapter 5 Mathematical Analysis for Small Signal Stability of Electric Drives
5.1 Introduction: Background and Driving Forces
5.2 System Description
5.3 Mathematical Modeling of the Drive
5.3.1 Current Transducer
5.3.2 Current Controller
5.3.3 Induction Motor
5.3.4 Power Converter
5.4 Parameter Plane Synthesis Technique for Controller Design
5.4.1 Design of Proportional Integral (PI) Controller
5.5 Conclusions
References
Nomenclature
Chapter 6 COVID-19 Outbreak: A Predictive Mathematical Study
6.1 Introduction
6.2 Model Formulation
6.3 Preliminaries
6.3.1 Boundedness of the Solution
6.4 Model Analysis
6.4.1 Equilibrium Points and Basic Reproduction Number
6.4.1.1 Basic Reproduction Number
6.4.2 Stability Analysis
6.4.3 Local Stability at Disease-Free Equilibria
6.4.4 Global Stability
6.5 Numerical Simulation
6.6 Conclusions
References
Chapter 7 Modeling the Role of Rain in Cleaning the Environment
Nomenclature
7.1 Introduction
7.2 Mathematical Model
7.3 Equilibrium Analysis
7.4 Stability Analysis
7.4.1 Local Stability
7.4.2 Global Stability
7.5 Numerical Simulation
7.6 Conclusions
References
Chapter 8 Image Watermarking with Polar Harmonic Moments
8.1 Introduction: Background and Driving Forces
8.2 Polar Harmonic Transform
8.2.1 Moment Computations
8.2.2 Watermarking Procedure
8.3 Experimental Results and Discussions
8.3.1 Rotational Invariance
8.3.2 Scaling Invariance
8.3.3 Addition of Noise
8.3.4 Image Filtering
8.3.5 JPEG Compression
8.3.6 Image Flipping
8.4 Motion Blur Attack
8.4.1 Gamma Modification Attack
8.5 Conclusions
References
Chapter 9 Fractal Reptiles of the Plane with Holes using Reflections and Rotations
9.1 Introduction
9.2 Preliminaries and Some Results
9.3 The Method for Constructing Reptiles with Holes
9.4 Examples of Reptiles with Holes and Other Properties
9.5 Some Variations and Reptiles with Holes Using Integer Matrices
9.6 Summary
References
Chapter 10 Energy Approach for Free Vibration Analysis of Restrained Monoclinic Rectangular Plates of Varying Density and Thickness
Nomenclature
10.1 Introduction
10.2 Formulation of the Problem
10.3 Results and Discussion
10.4 Conclusions
References
Chapter 11 A Numerical Note on Triple Diffusive Mixed Convection Flow over a Vertical Plate with Variable Physical Parameters of Water
List of Notations
Greek Symbols
11.1 Introduction
11.2 Formation of Governing Equations
11.3 Mathematical Analysis
11.4 Numerical Computation
11.5 Results and Discussion
11.6 Conclusions
References
Chapter 12 Differential Equations of Thermodynamics
12.1 Motivation
12.2 Introduction
12.3 Bejan’s Constructal Law
12.4 Law of Motive Force
12.5 Reynolds Transport Theorem
12.6 Momentum Theorem
12.7 First Law of Thermodynamics
12.8 Second Law of Thermodynamics
12.9 Gouy–Stodola Theorem
12.10 Patankar–Spalding-Type Differential Equation
12.11 Conservation of Chemical Species
12.12 Continuity Equation
12.13 Navier–Stokes Equations
12.14 Energy Conservation Equation
12.15 The k – ε Turbulence Model
12.16 Conclusions
References
Chapter 13 Nonlinear Evolution of Weak Discontinuity Waves in Darcy-Type Porous Media
13.1 Introduction
13.2 Governing Equations
13.3 Evaluation of the Weak Discontinuity
13.4 Results and Discussion
13.5 Conclusions
References
Chapter 14 Numerical Solution of Fisher’s Equation by using Fourth-Order Collocation Scheme Based on Modified Cubic B-Splines
14.1 Introduction
14.2 Fourth-Order Spatial Approximation with Modified Cubic B-Splines
14.3 Implementation of mCBCT4 on Fisher’s Equation
14.3.1 Initial Solution Vector for Systems
14.4 Numerical Simulation of Fisher’s Equation Using mCBCT4
14.5 Conclusions
Acknowledgment
References
Chapter 15 Analytical Study of Higher-Order Time-Fractional Differential Equations with Proportional Delay for Large Time Scale
15.1 Introduction
15.2 Preliminaries
15.3 Methodology
15.4 Sufficient Condition for Convergence
15.5 Numerical Application
15.6 Result and Discussion
15.7 Conclusions
Acknowledgments
References
Index