1 Applied Mathematics and Mechanics in Aerospace Industry
7
1.3 Conclusions
The book presents the research work of major experts in the field of numerical
methods and computational mechanics, as well as, dynamic systems and information technology. Using methods of applied mathematics and numerical simulation,
such diverse gas- and hydrodynamics processes have been studied as meteoroid flight
in Earth’s atmosphere, flow structure near descent module in Mars atmosphere, wave
motions of fluids, the evolution of cluster beams, pulsating detonation waves, and
flow in plasma thrusters. In the dynamics of solids, numerical methods have been
developed to study the processes of fatigue damage development, stress state of
teeth prosthesis, elastic waves’ propagation during exploratory drilling on artificial
ice island. Effective numerical algorithms have been proposed for solving dynamic
systems with interval parameters, optimal control, and filtration problems. To solve
most of the problems, researchers reported the use of parallel algorithms for multiprocessor high-performance computing systems. The book will be useful to scientists, researchers, undergraduate and postgraduate students specializing in the field
of computational methods, parallel algorithms, gas dynamics, aerodynamics, hydrodynamics, plasma mechanics, multiphase flows, solid dynamics, dynamic systems,
and information technologies.
References
1. Syzranova, N.G., Andrushchenko, V.A.: Simulation of the motion and destruction of bolides
in the Earth’s atmosphere. High Temp. 54(3), 308–315 (2016)
2. Babakov, A.V.: Program package FLUX for the simulation of fundamental and applied
problems of fluid dynamics. Comput. Math. Math. Phys. 56(6), 1151–1161 (2016)
3. Babakov, A.V., Novikov, P.A.: Numerical simulation of unsteady vortex structures in near wake
of poorly streamlined bodies on multiprocessor computer system. Comput. Math. Math. Phys.
51(2), 245–250 (2011)
4. Gushchin, V., Kondakov, V.: On the Cabaret scheme for incompressible fluid flow problems
with a free surface. Math. Models Comput. Simul. 11(4), 499–508 (2019)
5. Gushchin, V., Smirnova, I.: The Splitting Scheme for Mathematical Modeling of the Mixed
Region Dynamics in a Stratified Fluid. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S.,
Reviznikov, D.L. (eds.) Advances in Theory and Practice of Computational Mechanics. Smart
Innovation, Systems and Technologies, vol. 173, pp. 11–21. Springer, Singapore (2020)
6. Maksimov, F.A., Churakov, D.A., Shevelev, Y.D.: Development of mathematical models and
numerical methods for aerodynamic design on multiprocessor computers. Comput. Math. Math.
Phys. 51, 284–307 (2011)
7. Ivanov, I.E., Nazarov, V.S., Gidaspov, V.Yu., Kryukov, I.A.: Numerical simulation of the process
of phase transitions in gas-dynamic flows in nozzles and jets. In: Jain L.C., Fa-vorskaya,
M.N., Nikitin, I.S., Reviznikov, D.L. (eds) Advances in Theory and Practice of Computational
Mechanics: Proceedings of the 21st International Conferenceon Computational Mechanics and
Modern Applied Software Systems, SIST, vol. 173, pp. 133–150, Springer, Singapore (2019)
8. Nazarov, V.S., Ivanov, I.E., Kryukov, I.A., Gidaspov, V.U.: Modeling the dynamics of a gasdroplet substance in nozzles, taking into account the phase transition. J. Phys. Conf. Ser. 1250,
012026.1–012026.10 (2019)
7
1.3 Conclusions
The book presents the research work of major experts in the field of numerical
methods and computational mechanics, as well as, dynamic systems and information technology. Using methods of applied mathematics and numerical simulation,
such diverse gas- and hydrodynamics processes have been studied as meteoroid flight
in Earth’s atmosphere, flow structure near descent module in Mars atmosphere, wave
motions of fluids, the evolution of cluster beams, pulsating detonation waves, and
flow in plasma thrusters. In the dynamics of solids, numerical methods have been
developed to study the processes of fatigue damage development, stress state of
teeth prosthesis, elastic waves’ propagation during exploratory drilling on artificial
ice island. Effective numerical algorithms have been proposed for solving dynamic
systems with interval parameters, optimal control, and filtration problems. To solve
most of the problems, researchers reported the use of parallel algorithms for multiprocessor high-performance computing systems. The book will be useful to scientists, researchers, undergraduate and postgraduate students specializing in the field
of computational methods, parallel algorithms, gas dynamics, aerodynamics, hydrodynamics, plasma mechanics, multiphase flows, solid dynamics, dynamic systems,
and information technologies.
References
1. Syzranova, N.G., Andrushchenko, V.A.: Simulation of the motion and destruction of bolides
in the Earth’s atmosphere. High Temp. 54(3), 308–315 (2016)
2. Babakov, A.V.: Program package FLUX for the simulation of fundamental and applied
problems of fluid dynamics. Comput. Math. Math. Phys. 56(6), 1151–1161 (2016)
3. Babakov, A.V., Novikov, P.A.: Numerical simulation of unsteady vortex structures in near wake
of poorly streamlined bodies on multiprocessor computer system. Comput. Math. Math. Phys.
51(2), 245–250 (2011)
4. Gushchin, V., Kondakov, V.: On the Cabaret scheme for incompressible fluid flow problems
with a free surface. Math. Models Comput. Simul. 11(4), 499–508 (2019)
5. Gushchin, V., Smirnova, I.: The Splitting Scheme for Mathematical Modeling of the Mixed
Region Dynamics in a Stratified Fluid. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S.,
Reviznikov, D.L. (eds.) Advances in Theory and Practice of Computational Mechanics. Smart
Innovation, Systems and Technologies, vol. 173, pp. 11–21. Springer, Singapore (2020)
6. Maksimov, F.A., Churakov, D.A., Shevelev, Y.D.: Development of mathematical models and
numerical methods for aerodynamic design on multiprocessor computers. Comput. Math. Math.
Phys. 51, 284–307 (2011)
7. Ivanov, I.E., Nazarov, V.S., Gidaspov, V.Yu., Kryukov, I.A.: Numerical simulation of the process
of phase transitions in gas-dynamic flows in nozzles and jets. In: Jain L.C., Fa-vorskaya,
M.N., Nikitin, I.S., Reviznikov, D.L. (eds) Advances in Theory and Practice of Computational
Mechanics: Proceedings of the 21st International Conferenceon Computational Mechanics and
Modern Applied Software Systems, SIST, vol. 173, pp. 133–150, Springer, Singapore (2019)
8. Nazarov, V.S., Ivanov, I.E., Kryukov, I.A., Gidaspov, V.U.: Modeling the dynamics of a gasdroplet substance in nozzles, taking into account the phase transition. J. Phys. Conf. Ser. 1250,
012026.1–012026.10 (2019)