**Preface** XIII


X Contents


Contents VII

**Section 4 Industrial Applications 439** 

Chapter 20 **Numerical Methods for Analyzing** 

A. Aoufi and G. Damamme

Chapter 22 **Numerical Simulation of** 

Chapter 25 **Numerical Simulation** 

**the Transients in Medium Voltage Networks 441** Dumitru Toader, Stefan Haragus and Constantin Blaj

**and Propagation of TiC Combustion Synthesis 501** 

Chapter 21 **Multidimensional Numerical Simulation of Ignition** 

**Combustion in Porous Media 529** 

**in Continuous Casting of Steel 557**  Jian-Xun Fu and Weng-Sing Hwang

Chapter 24 **3D Finite Element Simulation of T-Joint Fillet Weld: Effect of Various Welding Sequences on the Residual Stresses and Distortions 581**  Nur Syahroni and Mas Irfan Purbawanto Hidayat

> **of Fully Grouted Rock Bolts 605**  Hossein Jalalifar and Naj Aziz

Chapter 23 **Numerical Simulation of Slab Broadening** 

Masoud Ziabasharhagh and Arash Mohammadi


VI Contents

Chapter 9 **Synthesis of Antenna Systems According to** 

Mykhaylo Andriychuk

Chapter 10 **A Numerical Study of Amplification** 

**the Desired Amplitude Radiation Characteristics 191** 

Takuichi Hirano, Kenichi Okada, Jiro Hirokawa and Makoto Ando

**Semiconductors Devices in Micro and Nanoelectronics 275** 

**of Space Charge Waves in n-InP Films 219**  Abel García-Barrientos, Francisco R. Trejo-Macotela, Liz del Carmen Cruz-Netro and Volodymyr Grimalsky

Chapter 11 **Accuracy Investigation of De-Embedding Techniques Based on Electromagnetic Simulation for On-Wafer RF Measurements 233**

Chapter 12 **Analytical Model and Numerical Simulation for the Transconductance and Drain Conductance of GaAs MESFETs 259** 

Chapter 13 **Using Numerical Simulations to Study and Design** 

**Q-Switched Solid State Lasers 289**

Chapter 15 **Soft-Error Rate of Advanced SRAM Memories:** 

Chapter 16 **BG Model Based on Bagnold's Concept and** 

Julien Touboul and Christian Kharif

Chapter 18 **Spectral Modeling and Numerical Simulation** 

Mohamed Riahi and Taieb Lili

Manabendra Pathak

Chapter 19 **Numerical Simulation of Droplet Dynamics** 

**Its Application to Analysis of Elongation**

Chapter 17 **Numerical Simulations of Water Waves' Modulational** 

**in Membrane Emulsification Systems 415**

**of Sand Spit and Shore – Normal Sand Bar 339** Takaaki Uda, Masumi Serizawa and Shiho Miyahara

**Instability Under the Action of Wind and Dissipation 375**

**of Compressible Homogeneous Sheared Turbulence 393** 

Salvador Pinillos Gimenez and Marcello Bellodi

I. Lăncrănjan, R. Savastru, D. Savastru and S. Micloş

**Modeling and Monte Carlo Simulation 309**  Jean-Luc Autran, Sergey Semikh, Daniela Munteanu, Sébastien Serre, Gilles Gasiot and Philippe Roche

Saadeddine Khemissi

Chapter 14 **Numerical Simulation of Passively** 

**Section 3 Fluid Dynamics 337** 


Preface

mechanics.

simulation in various areas of science.

Starting from the sixties of previous century, numerical simulation has become a significant, and at times, a crucial role in the progress of many areas of science. This book contains original and innovative research studies related to modeling and simulation of the physical phenomena in a very wide range of applications, including the macro- and micro-electrodynamics radiation and scattering, the fluid dynamics

Recent numerical techniques, as well as the most accurate and advanced software are applied in order to perfectly explain the nature of the considered phenomena. The book can be useful for theoretical and applied researchers, who deal with numerical

The book chapters are divided into four sections according to the considered problems and corresponding areas of application. **Section 1** contains the latest advances in the bifurcation theory, network scheduling, epidemiology, physics of plasma, and

**Chapter 1**, authored by Canan Çelik Karaaslanli, is aimed to study the bifurcation phenomena for the solution of ordinary differential equations and systems of such equations in conjunction with the analytical computation and numerical analysis. The governing equations of the bifurcation analysis are derived for the case of one dimension, for which the saddle-node, transcritical and pitchfork bifurcations are examined. For the two-dimensional case, the Hopf bifurcation theorem determines the condition providing the bifurcation of two types, namely, subcritical and supercritical bifurcation. It was substantiated and proved that Hopf bifurcation is possible for the systems consisting of two or more differential equations; such type of bifurcation is described in literature as Poincare-Andronov-Hopf bifurcation. The main theoretical result consists in center manifold reduction for Hopf bifurcation, this result allows to circumscribe the Hopf bifurcation for various types of the differential equation systems. The numerous exercises demonstrate initial equilibrium properties of the systems under consideration, as well as explain the difference between arising types of bifurcation.

A time-varying control approach designed for a nonlinear system is studied by Dong Bin Lee and C. Nataraj in **Chapter 2**. A cart-pole nonlinear dynamic model with the

turbulence and emulsification, as well as the various industrial processes.
