2
M. N. Favorskaya et al.
1.1 Introduction
This book presents the selected papers reported at the 13th International Conference
on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI’2020),
which was held during 6–13 September 2020. The book includes modern numerical
methods and mathematical models for solving problems of computational mechanics,
dynamic systems simulation and optimization, information technologies, and artificial intelligence. Part I “Computational Fluid Dynamics” involves Chaps. 2–5, Part
II “Numerical Simulation of Plasma and Multiphase Flows” contains Chaps. 6–11,
Part III “Computational Solid Mechanics” includes Chaps. 12–14, Part IV “Numerical Study of Dynamic Systems” consists in Chaps. 15–20, Part V “Information
Technologies” contains Chaps. 21–24.
1.2 Chapters in the Book
Part I presents the recent advances in computational fluid dynamics and includes 4
chapters.
Chapter 2 reports a numerical study of the flight of large bodies in the Earth’s
atmosphere [1]. Based on the model of a single body (no fragmentation), the authors
determine the kinematic and physical characteristics necessary for a meteoroid to
ascend in the atmosphere after its initial descend. It was found out that the key
parameter for the possibility of such ascend is the angle of entry into the atmosphere.
Authors compute the critical angles for a range of control parameters, i.e., the ballistic
coefficient and the lift-to-drag ratio. The obtained results explain certain effects of
the Tunguska event that took place in 1908.
Chapter 3 presents the results of numerical simulation of a hypersonic flow of a
viscous heat-conducting gas near the landing module in the Martian atmosphere. The
conservative numerical method of flux [2, 3] is used to solve the problem. Special
attention is paid to the study of the structure of non-stationary flow on the side and
bottom surfaces of the module. The results of the numerical simulation show that a
developed unsteady vortex flow is realized on the lateral and bottom surfaces of the
descent module, which affects the aerodynamic characteristics. It is important to note
that the temperature near the lateral and bottom surfaces of the module can reach
large values. These features of the flow must be taken into account when designing
new aerospace vehicles.
Chapter 4 introduces the results of a comparison of two different numerical
approaches for solving the problem of spot collapse: SMIF method and CABARET
method [4, 5]. Several test tasks are considered and the results are compared with
theoretical, experimental data and calculations of other authors.
Chapter 5 reports a numerical method for modeling the Taylor vortex flows [6].
The periodic boundary conditions on the edges of the cylinder’s part are implemented. The results of the simulation for various values of the periodicity sizes and
M. N. Favorskaya et al.
1.1 Introduction
This book presents the selected papers reported at the 13th International Conference
on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI’2020),
which was held during 6–13 September 2020. The book includes modern numerical
methods and mathematical models for solving problems of computational mechanics,
dynamic systems simulation and optimization, information technologies, and artificial intelligence. Part I “Computational Fluid Dynamics” involves Chaps. 2–5, Part
II “Numerical Simulation of Plasma and Multiphase Flows” contains Chaps. 6–11,
Part III “Computational Solid Mechanics” includes Chaps. 12–14, Part IV “Numerical Study of Dynamic Systems” consists in Chaps. 15–20, Part V “Information
Technologies” contains Chaps. 21–24.
1.2 Chapters in the Book
Part I presents the recent advances in computational fluid dynamics and includes 4
chapters.
Chapter 2 reports a numerical study of the flight of large bodies in the Earth’s
atmosphere [1]. Based on the model of a single body (no fragmentation), the authors
determine the kinematic and physical characteristics necessary for a meteoroid to
ascend in the atmosphere after its initial descend. It was found out that the key
parameter for the possibility of such ascend is the angle of entry into the atmosphere.
Authors compute the critical angles for a range of control parameters, i.e., the ballistic
coefficient and the lift-to-drag ratio. The obtained results explain certain effects of
the Tunguska event that took place in 1908.
Chapter 3 presents the results of numerical simulation of a hypersonic flow of a
viscous heat-conducting gas near the landing module in the Martian atmosphere. The
conservative numerical method of flux [2, 3] is used to solve the problem. Special
attention is paid to the study of the structure of non-stationary flow on the side and
bottom surfaces of the module. The results of the numerical simulation show that a
developed unsteady vortex flow is realized on the lateral and bottom surfaces of the
descent module, which affects the aerodynamic characteristics. It is important to note
that the temperature near the lateral and bottom surfaces of the module can reach
large values. These features of the flow must be taken into account when designing
new aerospace vehicles.
Chapter 4 introduces the results of a comparison of two different numerical
approaches for solving the problem of spot collapse: SMIF method and CABARET
method [4, 5]. Several test tasks are considered and the results are compared with
theoretical, experimental data and calculations of other authors.
Chapter 5 reports a numerical method for modeling the Taylor vortex flows [6].
The periodic boundary conditions on the edges of the cylinder’s part are implemented. The results of the simulation for various values of the periodicity sizes and