Mathematical modeling of technological processes : 8th international conference, CITech 2015, Almaty, Kazakhstan, September 24-27, 2015 : proceedings

This book constitutes the refereed proceedings of the Mathematical modeling of technological processes track of the 8th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2015, held in Almaty, Kazakhstan, in September 2015. The 20 papers and one short paper presented were carefully reviewed and selected from 56 submissions to the track. They provide a forum for sharing new aspects of the progresses in the areas of mathematical modeling of technological processes; process automation and control; high performance computing; simulation. Preface 6 Organization 7 Contents 11 Mathematical Modelling of Oil Recovery by Polymer/Surfactant Flooding 13 1 Introduction 13 2 Mathematical Model 14 3 Numerical Method 16 4 Computational Results 17 5 Model Verification 21 6 Conclusion 23 References 23 Modelling of Evolution Small-Scale Magnetohydrodynamic Turbulence Depending on the Magnetic Viscosity of the Environment 25 1 Introduction 25 2 Problem 27 3 Method for Calculating the Small-Scale Turbulence Coefficient 28 4 Method for Calculating the Small-Scale Magnetic Field 30 5 Numerical Method 32 6 Numerical Modeling Results 32 7 Conclusions 36 References 37 Enhancement of the In-Situ Leach Mineral Mining Process by the Hydrodynamic Method 38 1 Introduction 38 2 Mathematical Model 39 2.1 Initial and Boundary Condition 39 3 Numerical Model 40 4 Results of Calculation 40 4.1 Results of Calculation for Linear Well Location 40 4.2 Results of Calculation for Hexagonal Well Pattern 42 5 Conclusion 44 References 44 Numerical Modeling of Artificial Heart Valve 45 1 Introduction 45 2 Formulation of the Problem 46 3 Solution Method 49 4 Results 53 5 Conclusion 53 References 54 Numerical Model of Plasma-Chemical Etching of Silicon in CF4/H2 Plasma 56 1 Introduction 56 2 Mathematical Model Formulation 57 3 Numerical Method 60 4 Results and Discussion 61 5 Conclusion 63 References 64 Simulation of Transonic Airfoil Flow Using a Zonal RANS-LES Method 65 1 Introduction 65 2 Numerical Method 67 2.1 Flow Solver 67 2.2 Synthetic Turbulence Generation Method 67 3 Computational Setup 69 4 Results 71 5 Conclusion 75 References 76 Mathematical Algorithm for Calculation of the Moving Tsunami Wave Height 78 1 Introduction 78 2 Wave Front Amplitude for Linear Source 80 2.1 Numerical Experiment 80 2.2 Airy-Green Formula 81 3 Wave Front Amplitude for Point Source 82 4 Connections and Conclusion 82 References 83 Hybrid Evolutionary Approach to Multi-objective Mission Planning for Group of Underwater Robots 85 1 Introduction 85 2 AUVs Mission Planning Problem 86 2.1 Main Features of the Problem 89 2.2 Efficiency Criteria for the Group Route 90 3 Hybrid Evolutionary Approach to AUVs Mission Planning 92 The Procedure to Bring Solutions to Feasibility. 93 Genetic Parameters Adaptation Mechanism. 94 4 The Results of Test Calculations 95 5 Conclusion 96 References 96 Theoretical and Numerical Predictionof the Permeability of Fibrous Porous Media 97 1 Introduction 97 2 Modeling Approach 99 3 Formulation of the Problem 100 4 Results 102 5 Conclusions 104 References 104 A Study of (m,k)-Methods for Solving Differential-Algebraic Systems of Index 1 106 1 Introduction 106 2 The Numerical Schemes 107 3 Convergence and Order Conditions 109 4 (m,k)-Schemes of the Optimum Order 114 References 119 Application of Immersed Boundary Method in Modelling of Thrombosis in the Blood Flow 120 1 Introduction 120 2 Mathematical Model 121 3 Numerical Method 124 4 The Numerical Results 125 5 Conclusion 127 References 127 Modeling the Impact of Relief Boundaries in Solving the Direct Problem of Direct Current Electrical Sounding 129 1 Introduction 129 2 Mathematical Model 129 3 Derivation of the System of Integral Equations and Numerical Results 131 4 Conclusion 134 References 134 Quantum Computing and Its Potential for Turbulence Simulations 136 1 Introduction 136 2 QC for SDE Simulation 138 3 Turbulence Formulation via FDF 138 References 143 Modeling of Adsorption and Transfer of Radiation in an Expanding Sphere 145 1 Introduction 145 2 Model 145 3 Results 147 3.1 Optical Thickness of a Medium 147 3.2 Absorption Line Shape 148 3.3 Absorption Line Width 151 4 Conclusions 153 References 153 Three-Dimensional Model of Fracture Propagation from the Cavity Causedby Quasi-Static Load or Viscous Fluid Pumping 155 1 Introduction 155 2 Dual BEM 157 2.1 Boundary Discretization and Obtaining the System of Linear Algebraic Equations (SLAE) 158 2.2 Boundary Elements and Approximating Functions 159 2.3 Hadamar Principal Value Calculation of the Singular Integral 159 3 Calculation of the Stress Intensity Factors 160 4 Quasi-Static and Viscous Fluid Fracture Loading 161 5 Coupling Between Stress-Displacement, Fluid-Flow and Crack Growth Criteria 163 6 Results of Fracture Propagation Simulating 164 7 Conclusions 168 References 169 Self-Purification Modelling for Small River in Climate Conditions of Central Siberia 170 1 Introduction 170 2 Object Description 171 3 Model Structure 172 4 Parameter Estimation 173 5 Results and Discussion 174 References 176 Modeling of Three-Phase Non-isothermal Flow in Porous Media Using the Approach of Reduced Pressure 178 1 Introduction 178 2 The Derivation of the Model 179 3 Numerical Implementation of the Model 182 4 Numerical Results 185 5 Conclusion 187 References 188 Self-Organization Phenomena in Underground Hydrogen Storages 189 1 Introduction 189 2 Complete Model of the Process 190 2.1 Model of Population Dynamics 190 2.2 Balance Equations 192 2.3 Reduced Equation of Population Dynamics 193 2.4 Reactive Transport of Chemical Components 193 3 Analytical and Numerical Results 194 3.1 Asymptotic Model for Low Gas Saturation 194 3.2 Analytical Study: Limit Stationary Spatial Waves 195 3.3 Numerical Study 196 4 Conclusion 199 References 200 Numerical Modeling of Posteriori Algorithms for the Geophysical Monitoring 202 1 Introduction 202 2 Methods for Solving the Problem of Geophysical Monitoring 203 2.1 Problem Statement 203 2.2 Posteriori Algorithms for Determining the Parameters of Wave Forms in Noise 205 2.3 Fractals in a Posteriori Algorithms 207 2.4 Solution of the Inverse Problem 209 3 Conclusions 211 References 211 Two-Component Incompressible Fluid Model for Simulating Surface Wave Propagation 213 1 Introduction 213 2 Mathematical Model 215 3 Solution Scheme 217 4 Wave Propagation on Surface 219 5 Conclusion 220 References 220 Author Index 223 Front Matter....Pages I-XII Mathematical Modelling of Oil Recovery by Polymer/Surfactant Flooding....Pages 1-12 Modelling of Evolution Small-Scale Magnetohydrodynamic Turbulence Depending on the Magnetic Viscosity of the Environment....Pages 13-25 Enhancement of the In-Situ Leach Mineral Mining Process by the Hydrodynamic Method....Pages 26-32 Numerical Modeling of Artificial Heart Valve....Pages 33-43 Numerical Model of Plasma-Chemical Etching of Silicon in \(CF_4/H_2\) Plasma....Pages 44-52 Simulation of Transonic Airfoil Flow Using a Zonal RANS-LES Method....Pages 53-65 Mathematical Algorithm for Calculation of the Moving Tsunami Wave Height....Pages 66-72 Hybrid Evolutionary Approach to Multi-objective Mission Planning for Group of Underwater Robots....Pages 73-84 Theoretical and Numerical Prediction of the Permeability of Fibrous Porous Media....Pages 85-93 A Study of (m,k)-Methods for Solving Differential-Algebraic Systems of Index 1....Pages 94-107 Application of Immersed Boundary Method in Modelling of Thrombosis in the Blood Flow....Pages 108-116 Modeling the Impact of Relief Boundaries in Solving the Direct Problem of Direct Current Electrical Sounding....Pages 117-123 Quantum Computing and Its Potential for Turbulence Simulations....Pages 124-132 Modeling of Adsorption and Transfer of Radiation in an Expanding Sphere....Pages 133-142 Three-Dimensional Model of Fracture Propagation from the Cavity Causedby Quasi-Static Load or Viscous Fluid Pumping....Pages 143-157 Self-Purification Modelling for Small River in Climate Conditions of Central Siberia....Pages 158-165 Modeling of Three-Phase Non-isothermal Flow in Porous Media Using the Approach of Reduced Pressure....Pages 166-176 Self-Organization Phenomena in Underground Hydrogen Storages....Pages 177-189 Numerical Modeling of Posteriori Algorithms for the Geophysical Monitoring....Pages 190-200 Two-Component Incompressible Fluid Model for Simulating Surface Wave Propagation....Pages 201-210 Back Matter....Pages 211-211