Advances in Theory and Practice of Computational Mechanics: Proceedings of the 22nd International Conference on Computational Mechanics and Modern ... Innovation, Systems and Technologies, 274)

Preface
Contents
About the Editors
1 Advances in Computational Study of Dynamic Systems
	1.1 Introduction
	1.2 Chapters in the Book
	1.3 Conclusions
	References
Part I Computational Fluid Dynamics
2 Mathematical Modeling of the Problem of Magneto-Aero-Elastic Stability of Rectangular Plate
	2.1 Introduction
	2.2 The Problem Statement
	2.3 Magneto-Aero-Elastic Stability Problem
	2.4 Stability Conditions and Flutter Critical Speed
	2.5 Conclusions
	References
3 Calculation of Heat Transfer at the Front of an Aircraft During Hypersonic Flight
	3.1 Introduction
	3.2 Governing Equations
	3.3 Determining the Rates of Energy Exchange
		3.3.1 T-V Energy Transfer Rate
		3.3.2 V-V Energy Transfer Rate
	3.4 Chemical Kinetics
	3.5 Calculation Results
		3.5.1 Comparison of Calculations with the Flight Experiment OREX
		3.5.2 Flow Around a Sphere with a Diameter of 1 cm at an Altitude of 10 km
	3.6 Conclusions
	References
4 Some Features of DG Method Application for Solving Gas Dynamics Problems
	4.1 Introduction
	4.2 Discontinuous Galerkin Method
	4.3 Generalization of the Cockburn Limiter
	4.4 Numerical Integration on Arbitrary Cells
	4.5 Test Calculation Woodward-Colella Blast Waves
	4.6 Numerical Calculations
	4.7 Conclusions
	References
5 Using the CFD Code HySol to Calculate High-Speed Flows
	5.1 Introduction
	5.2 Mathematical Model
	5.3 Numerical Method
	5.4 Numerical Results
	5.5 Conclusions
	References
6 Mathematical Modeling of Spots Chain Dynamics in Fluid
	6.1 Introduction
	6.2 Statement of the Problem
	6.3 Solution Method
		6.3.1 Splitting Scheme
		6.3.2 Finite-Difference Scheme
	6.4 Calculation Results
		6.4.1 Typical Spots Chain Dynamics
		6.4.2 Features of the Spots Chain Dynamics at Low Reynolds and Froude Numbers
	6.5 Conclusions
	References
7 Simulation of Flows Near Wings with Supersonic Edges
	7.1 Introduction
	7.2 The Simulation Method
	7.3 Flow Around Star-Shaped Body
	7.4 Flow Around V-Shaped Wing
	7.5 Flow Around V-Shaped Wing with Central Body
	7.6 Aerodynamic Characteristics
	7.7 Flow Around V-Shaped Wing with Sweep-Forward Edges
	7.8 Conclusions
	References
8 3-D Quasi-Conformal Mappings and Generalization of Axisymmetric Case
	8.1 Introduction
	8.2 Lavrent’ev’s Type of Harmonic Mapping
	8.3 Basic Equations of Ideal Incompressible Axisymmetric Flows
	8.4 Quasi-Conformal Mappings of 3-D Domain for Axisymmetric Case
	8.5 Results of Numerical Calculations
	8.6 Conclusions
	References
9 Direct Numerical Simulation of Two-Dimensional Turbulence and Investigation of the Boundary Conditions Influence on the Energy Cascade Formation
	9.1 Introduction
	9.2 Energy Cascade
	9.3 Model and Numerical Method
	9.4 Experimental Results
	9.5 Conclusions
	References
10 Numerical Modeling of Non-stationary Flow Near Lateral Surface of the Descent Module in the Martian Atmosphere for Wide Range of Attack Angles
	10.1 Introduction
	10.2 Numerical Technique
	10.3 Problem Statement
	10.4 Numerical Simulation Results
	10.5 Conclusions
	References
Part II Numerical Simulation of Physical and Chemical Processes in Gases and Liquids
11 Probe Diagnostics of Rarefied Plasma Flows from Magnetoplasmodynamic Engines
	11.1 Introduction
	11.2 Processing Methods for Probe Characteristics Obtained in Rarefied Plasma Flows from MPDE
		11.2.1 Method No. 1 Based on VAC Ion Branch and Initial Section of the Transition Branch for Probes of Flat Geometry
		11.2.2 Method No. 2 for Processing the VAC of the Flat Probe Oriented Toward Plasma Flow from MPDE
		11.2.3 Method No. 3 for Processing VAC of the Probes of Cylindrical Geometry in the Rarefied Plasma Flow from MPDE
	11.3 Some Results of Probe Measurements in the Plasma Flow from MPDE
		11.3.1 Probe Measurements in Test Stand Conditions
		11.3.2 Probe Measurements in Ionosphere Conditions
	11.4 Conclusions
	References
12 Numerical Simulation of Combustion Wave Propagation in a Black Powder Charge Using a Two-Fluid Model
	12.1 Introduction
	12.2 Mathematical Model
	12.3 Computational Algorithm
	12.4 Simulation Results
	12.5 Discussion
	12.6 Conclusions
	References
13 Unconventional Trajectories of Meteoroids in the Earth\'s Atmosphere
	13.1 Introduction
	13.2 The Basic Equations
	13.3 The Calculation Results and Their Discussion
	13.4 The Tunguska Phenomenon of 1908
	13.5 Conclusions
	References
14 Mathematical Modeling of Dynamic and Optical Effects in Ionospheric Experiments Using an Explosive Chemical Generator
	14.1 Introduction
	14.2 Analysis of the Chemical Composition of Explosion Material
	14.3 Initial Thermodynamic Parameters. Assessment of the Interpenetration of Explosion Products into the Ionosphere
	14.4 Approximate Model for Assessment the Average Parameters of a Mixture of the PE and Ionosphere Under the Conditions of Their Interpretation
	14.5 Numerical Analysis of the Problem in the Approximation of a Continuous Medium
	14.6 Assessment of the Infrared Radiation in the Perturbed Ionosphere
	14.7 Conclusions
	References
15 Numerical Study of the Perturbed Region Produced by a Heating Facility in the Lower Ionosphere
	15.1 Introduction
	15.2 Description of the Simplified Kinetic Model
	15.3 Calculation Results
		15.3.1 Daytime Ionosphere
		15.3.2 Nighttime Ionosphere
	15.4 Conclusions
	References
16 Kinematics of the Plane Channel Filling with a Polymer Fluid Taking into Account the Curing Process
	16.1 Introduction
	16.2 Mathematical Formulation of the Problem
	16.3 Calculation Results
		16.3.1 Curing in a Small Volume
		16.3.2 Filling of a Channel
	16.4 Conclusions
	References
17 Some New Data on the Spectral-Kinetic Characteristics of High-Temperature Ultraporous Heterogeneous Composites
	17.1 Introduction
	17.2 Key Methods and Modules of the Software Tool Control
	17.3 Local Spectral Properties of Ultraporous Materials
	17.4 Effective Spectral Properties of Materials as a Whole
		17.4.1 Initial Data for the Material Modeling
		17.4.2 Modeling Results and Discussion
	17.5 Conclusions
	References
Part III Computational Solid Mechanics
18 Calculation of Thermal Processes in the Contact Zones of Elements in Various Technological Processes
	18.1 Introduction
	18.2 Modeling of Thermal Processes in the Contact Zone “Heat Source—Heatsink”
	18.3 Results
	18.4 Conclusions
	References
19 Higher Order Schemes for Problems of Dynamics of Layered Media with Nonlinear Contact Conditions
	19.1 Introduction
	19.2 Mathematical Model
		19.2.1 Layered Model Equations
		19.2.2 Block Model Equations
	19.3 Numerical Method
		19.3.1 Implicit Numerical Method for Constitutive Equations
		19.3.2 Explicit Numerical Method for Elastic Step (Isotropic Case)
		19.3.3 Explicit Numerical Method for Weak Delamination (Anisotropic Case)
	19.4 Simulation Results
	19.5 Conclusions
	References
20 Application of Quasi-monotonic Schemes in Seismic Arctic Problems
	20.1 Introduction
	20.2 Mathematical Model and Numerical Method
		20.2.1 Mathematical Model
		20.2.2 Grid-Characteristic Method
		20.2.3 Linear Schemes for Hyperbolic Equations
		20.2.4 Hybrid Schemes
	20.3 Simulation Results
		20.3.1 One-Dimensional Tests
		20.3.2 Seismic Survey in Arctic Region
	20.4 Conclusions
	References
Part IV Numerical Study of Dynamic Systems
21 Applying the Best Parameterization Method and Its Modifications for Numerical Solving of Some Classes of Singularly Perturbed Problems
	21.1 Introduction
	21.2 Solution Continuation Method
		21.2.1 Traditional Approach
		21.2.2 Parameterization of the Solution. General Approach
		21.2.3 The Best Parameterization
		21.2.4 Modified Best Parameterization
	21.3 Test Initial Value Problem with Several Limiting Singular Points
		21.3.1 Statement of the Problem
		21.3.2 Particular Case
		21.3.3 Numerical Results
	21.4 The Boundary Value Problem of Supersonic Flow in a Duct
		21.4.1 Statement of the Problem
		21.4.2 The Best Parameterization
		21.4.3 Modified Best Parameterization
		21.4.4 Numerical Results
	21.5 Conclusions
	References
22 Using Spectral Form of Mathematical Description to Represent Iterated Itô Stochastic Integrals
	22.1 Introduction
	22.2 Iterated Stratonovich Stochastic Integrals and Their Representation by the Spectral Form of Mathematical Description
	22.3 Iterated Itô Stochastic Integrals and Their Representation by the Spectral Form of Mathematical Description
	22.4 Iterated Itô Stochastic Integrals Representation for Multiplicities k = 2, 3, 4
	22.5 Conclusions
	References
23 Application of Mini-Batch Adaptive Optimization Method in Stochastic Control Problems
	23.1 Introduction
	23.2 Statement of the Problem
	23.3 Solution Search Strategy
	23.4 Algorithm for Solving the Control Problem
	23.5 Mini-Batch Adaptive Stochastic Search Algorithm
	23.6 Satellite Stabilization Problem
	23.7 Conclusions
	References
24 Model Predictive Control for Solving the Helicopter Motion Control Problem
	24.1 Introduction
	24.2 Problem Formulation
	24.3 Model Predictive Control for Solving Problem
	24.4 Numerical Results
	24.5 Conclusions
	References
25 Creating a Synthetic Data Generator for Solving Industrial Flaw Detection Problems Using Deep Learning Methods
	25.1 Introduction
	25.2 Data Preparation
		25.2.1 Practical Background
		25.2.2 Data Annotation and Augmentation
		25.2.3 Synthetic Data Generator
	25.3 Deep-based Object Detection Architectures
		25.3.1 Architecture Training
		25.3.2 Analysis of Results
	25.4 Conclusions
	References
Part V Digital Technologies in Aerospace Education
26 Agilefall—Modern Realities of IT Project Management
	26.1 Introduction
	26.2 Methodologies: Extreme Points
		26.2.1 Full Cycle Methodologies
		26.2.2 Abbreviated Development Methodologies
	26.3 Large Projects, Internet Projects
		26.3.1 Incremental Model
		26.3.2 Internet Projects
	26.4 Suitability of Extreme Methods
	26.5 Modification or Mixture?
	26.6 Conclusions
	References
27 Formation of Educational Materials Following an Independently Established Educational Standard
	27.1 Introduction
	27.2 Professional Standards and Educational Process at the University
	27.3 Formation of the Course Syllabus
	27.4 Existing Means for Syllabi of Courses Development
	27.5 PlanProg Web Application
	27.6 Conclusions
	References
Author Index