Abstract
The chapter includes a brief description of chapters that contribute computational dynamics and numerical study of dynamic systems. The first part considers the recent results in computational fluid dynamics. The second part includes a numerical simulation of physical and chemical processes in gases and liquids. The third part presents some results in computational solid mechanics. The fourth part provides a numerical study of dynamic systems. The fifth part focuses on digital technology in aerospace education.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bagdasaryan, G., Mikilyan, M.: Effects of Magnetoelastic Interactions in Conductive Plates and Shells. Springer, Cham (2016)
Baghdasaryan, G., Mikilyan, M., Vardanyan, I., Panteleev, A.: Influence of supersonic flow on nonlinear oscillations of a cylindrical shell. IOP Conf. Series: J. Phys.: Conf. Series 1474, 012007 (2020)
Molchanov, A.M., Bykov, L.V., Yanyshev, D.S.: Effective turbulence model for high speed flow for general engineering applications. J. Eng. Appl. Sci. 13, 5556–5560 (2018)
Ladonkina, M.E., Neklyudova, O.A., Tishkin, V.F.: The use of the discontinuous Galerkin method in solving problems of hydrodynamics. Math. Mode. 26(1), 17–32 (2014)
Ladonkina, M.E., Neklyudova, O.A., Tishkin, V.F.: Construction of a limiter for the discontinuous Galerkin method based on averaging the solution. Math. Model. 30(5), 99–116 (2018)
Borovikov, S.N., Kryukov, I.A., Ivanov, I.E.: An approach for Delaunay tetrahedralization of bodies with curved boundaries. In: Hanks, B.W. (ed.) Proceedings of the 14th International Meshing Roundtable, pp. 221–237. Springer, Berlin, Heidelberg (2005)
Ermakov, M.K., Kryukov, I.A.: Supercomputer modeling of flow past hypersonic flight vehicles. J. Phys. Conf. Series 815, 012016 (2017)
Gushchin, V.: On a one family of quasi monotone finite-difference schemes of the second order of approximation. Math. Models Comput. Simul. 8, 487–496 (2016)
Gushchin, V., Smirnova, I.: Mathematical modeling of spot dynamics in a stratified medium. Comput. Math. Math. Phys. 60(5), 879–894 (2020)
Maksimov, F.A., Ostapenko, N.A., Zubin, M.A.: Conical flows near V-shaped wings with attached shock waves on leading edges. Progress Flight Phys. 7, 453–474 (2015)
Zubin, M.A., Maksimov, F.A., Ostapenko, N.A.: Flow-around modes for a rhomboid wing a stall vortex in the shock layer. Dokl. Phys. 62(12), 533–537 (2017)
Shevelev, Yu.D.: Application of 3-D quasi-conformal mappings for grid generation. Comput. Math. Math. Phys. 58(8), 1280–1286 (2018)
Shevelev, Yu.D.: 3-D Quasi-conformal mappings and grid generation. In: Favorskaya, M.N., Favorskaya, A.V., Petrov, I.B., Jain, L.C. (eds.) Smart Modelling for Engineering Systems. SIST, vol. 215, pp. 65–78. Springer, Singapore (2021)
Godunov, S.K., Klyuchinskii, D.V., Fortova, S.V., Shepelev, V.V.: Experimental studies of difference gas dynamics models with shock waves. Comput. Math. Math. Phys. 58(8), 1201–1216 (2018)
Godunov, S., Denisenko, V., Klyuchinskiy, D., Fortova, S., Shepelev, V.: Study of entropy properties of a linearized version of Godunov’s method. Comput. Math. Math. Phys. 60(8), 628–640 (2020)
Babakov, A.V.: Numerical simulation of flow structure near descent module in Mars atmosphere. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov, D.L., (eds.), Applied Mathematics and Computational Mechanics for Smart Applications 2020. SIST, vol. 217, pp. 25–34. Springer Nature Singapore Pte Ltd (2021)
Kotelnikov, V.A., Kotelnikov, M.V.: Current–voltage characteristics of a flat probe in a rarified plasma flow. High Temp. 54, 20–25 (2016)
Kotelnikov, V.A., Kotelnikov, M.V.: Use of the Bohm’s formula and its analogues in probe diagnostics. High Temp. 55, 477–480 (2017)
Syzranova, N.G., Andrushchenko, V.A.: Aspects of meteoroids flight in the Earth’s atmosphere. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov, D.L. (eds.) Applied Mathematics and Computational Mechanics for Smart Applications. SIST, vol. 217, pp. 13–23. Springer, Singapore (2021)
Stupitsky, E.L.: Specific features of explosive plasma flows in the near-earth space. Geomag. Aeron. 46(1), 26–43 (2006)
Moiseeva, D.S., Motorin, A.A., Stupitsky, E.L.: Numerical studies of the parameters of the perturbed region formed in the lower ionosphere under the action of a directed radio waves flux from a terrestrial source. Comput. Res. Model. 10(5), 679–708 (2018)
Borzenko, E.I., Shrager, G.R.: Effect of the type of boundary conditions on the three-phase contact line on the flow characteristics during filling of the channel. J. Appl. Mech. Tech. Phys. 56(2), 167–176 (2015)
Borzenko, E.I., Shrager, G.R.: Simulating injection molding of semi-crystalline polymers: effect of crystallization on the dynamics of channel filling. Interfacial Phenom. Heat Transf. 8(3), 225–233 (2020)
Alifanov, O.M., Cherepanov, V.V., Shchurik, A.G., Mironov, R.A.: Calculation of characteristics of reticular materials based on a glassy carbon by its optical constants determined experimentally. J. Eng. Phys. Thermophys 93(3), 710–718 (2020)
Kondratenko, V.S., Visakanov, A.A., Sakunenko, Yu.I., Tretiyakova, O.N., Molotkov, A.A., Tikmenov, V.N.: Development of metal-hybrid thermal interface: experimental research and mathematical modeling. Adv. Appl. Phys. 2, 166–173 (2018)
Golubev, V.I., Khokhlov, N.I., Nikitin, I.S., Churyakov, M.A.: Application of compact grid-characteristic schemes for acoustic problems. J. Phys. Conf. Ser. 1479(1), paper № 012058 (2020)
Petrov, I.B., Golubev, V.I., VYu., Petrukhin, Nikitin, I.S.: Simulation of seismic waves in anisotropic media. Dokl. Math. 103(3), 59–64 (2021)
Favorskaya, A.V., Petrov, D.I., Petrov, I.B., Khokhlov, N.I.: Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method. Comput. Math. Math. Phys. 56(6), 1128–1141 (2016)
Nikitin, I.S., Golubev, V.I., Golubeva, Y.A., Miryakha, V.A.: Numerical comparison of different approaches for the fractured medium simulation. In: Favorskaya, M.N., Favorskaya, A.V., Petrov, I.B., Jain, L.C. (eds.) Smart Modelling For Engineering Systems. SIST, vol. 214, pp. 87–99. Springer, Singapore (2021)
Kuznetsov, E.B., Leonov, S.S.: Parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points. Comput. Math. Math. Phys. 57(6), 931–952 (2017)
Kuznetsov, E.B., Leonov, S.S.: Examples of parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points. Comput. Math. Math. Phys. 30(6), 881–897 (2018)
Rybakov, K.A.: Spectral method of analysis and optimal estimation in linear stochastic systems. Int. J. Model. Simul. Sci. Comput. 11(3), 2050022 (2020)
Rybakov, K.A.: Using spectral form of mathematical description to represent Stratonovich iterated stochastic integrals. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov, D.L. (eds.) Advances in Computational Mechanics and Numerical Simulation. SIST, vol. 217, pp. 287–304. Springer, Singapore (2021)
Panteleev, A.V., Lobanov, A.V.: Application of the mini-batch adaptive method of random search (MAMRS) in problems of optimal in mean control of the trajectory pencils. J. Phys. Conf. Ser. 1925, 012006 (2021)
Panovskiy, V.N., Panteleev, A.V.: Meta-heuristic interval methods of search of optimal in average control of nonlinear determinate systems with incomplete information about its parameters. J. Comput. Syst. Sci. Int. 56(1), 52–63 (2017)
Kudryavtseva, I., Efremov, A., Panteleev A.: Optimization of helicopter motion control based on the aggregated interpolation model. AIP Conf. Proc. 2181, 020001 (2019)
Kudryavtseva, I., Efremov, A., Panteleev, A.: H-infinity approach to design optimal output control for the aggregated interpolation model of helicopter motion. IOP Conf. Ser. Mater. Sci. Eng. 927, 012059 (2020)
Lukin, V.N., Chernyshov, L.N.: On the modeling of the university education processes in the information technology. In: Jain, L.C., Favorskaya, M.N., Nikitin, I.S., Reviznikov, D.L. (eds.) Applied Mathematics and Computational Mechanics for Smart Applications. SIST, vol. 217, pp. 321–339. Springer, Singapore (2020)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Favorskaya, M.N., Nikitin, I.S., Severina, N.S. (2022). Advances in Computational Study of Dynamic Systems. In: Favorskaya, M.N., Nikitin, I.S., Severina, N.S. (eds) Advances in Theory and Practice of Computational Mechanics. Smart Innovation, Systems and Technologies, vol 274. Springer, Singapore. https://doi.org/10.1007/978-981-16-8926-0_1
Download citation
DOI: https://doi.org/10.1007/978-981-16-8926-0_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-8925-3
Online ISBN: 978-981-16-8926-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)