Персона: Шаргатов, Владимир Анатольевич
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Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
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Руководитель научной группы "Математические модели физических процессов изделий в экстремальных условиях эксплуатации"
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Шаргатов
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Владимир Анатольевич
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- ПубликацияОткрытый доступПРОГРАММНЫЙ КОМПЛЕКС ДЛЯ РАСЧЕТА ТЕЧЕНИЙ С УДАРНЫМИ ВОЛНАМИ В СЛОЖНЫХ СРЕДАХ МЕТОДОМ СГЛАЖЕННЫХ ЧАСТИЦ "SPH SHOCK WAVE SOLVER"(2022) Горкунов, С. В.; Шаргатов, В. А.; Горкунов, Сергей Владимирович; Шаргатов, Владимир АнатольевичПрограмма предназначена для проведения численного моделирования ударно-волновых процессов в упруго-пластических средах и химически реагирующих газах в трехмерной постановке методом сглаженных частиц (SPH). Областью применения программы является научное исследование распространения ударных волн в многофазных средах с учетом структурных особенностей материалов. К функциональным возможностям программы относятся: проведение параллельного моделирования с использованием MPI (Message Passing Interface); исследование ударно-волновых свойств материалов на макро- и мезоуровне; проведение гидродинамических и ударно-волновых расчетов реальных конструкций. Тип ЭВМ: IBM PC-совмест. ПК, многопроцессорные ЭВМ; ОС: Windows 10, Red Hat Enterprise Linux, Ubuntu 18.04 LTS, CentOS.
- ПубликацияТолько метаданныеStructures of Classical and Special Discontinuities for the Generalized Korteweg–de Vries–Burgers Equation in the Case of a Flux Function with Four Inflection Points(2023) Shargatov, V. A.; Chugainova, A. P.; Tomasheva, A. M.; Шаргатов, Владимир Анатольевич; Томашева, Анастасия Михайловна
- ПубликацияТолько метаданныеStability of an aneurysm in a membrane tube filled with an ideal fluid(2022) Il'ichev, A. T.; Shargatov, V. A.; Шаргатов, Владимир Анатольевич© 2022, Pleiades Publishing, Ltd.Abstract: The stability of standing localized structures formed in an axisymmetric membrane tube filled with fluid is studied. It is assumed that the tube wall is heterogeneous and is subjected to localized thinning. Because the problem has no translational invariance in the case of an inhomogeneous wall the stability of a standing localized structure located in the center of the inhomogeneity of the tube wall is understood as the usual, and not the orbital stability up to a shift. The spectral stability of localized elevation waves is considered in the context of aneurysm formation on human vessels. The fluid flowing inside the tube is assumed to be ideal and incompressible and its longitudinal velocity profile is assumed constant along the vertical section of the tube. Spectral stability is established by the proof of the absence of eigenvalues with a positive real part corresponding to exponentially time-increasing perturbations that are solutions of the linearized equations of the problem. The stability analysis is carried out by constructing the Evans function, which depends only on the spectral parameter and is analytic in the right complex half-plane Ω+. The zeros of the Evans function in Ω+ coincide with the unstable eigenvalues of the problem. The absence of zeros in Ω+ is proved by applying the argument principle from complex analysis.
- ПубликацияТолько метаданныеAnalytical description of the structure of special discontinuities described by a generalized KdV–Burgers equation(2019) Chugainova, A. P.; Shargatov, V. A.; Шаргатов, Владимир Анатольевич© 2018 Elsevier B.V. Traveling wave solutions of a generalized KdV–Burgers equation are studied. The nonlinearity is specified as a piecewise linear flux function consisting of four parts. A boundary value shock-structure problem is solved. An analytical solution describing the structures of special discontinuities (undercompressive shocks) is obtained, and the behavior of these solutions is examined for various parameters of the problem.
- ПубликацияОткрытый доступCharacterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube(2020) Il'ichev, A. T.; Fu, Y. B.; Shargatov, V. A.; Шаргатов, Владимир Анатольевич© 2020, The Author(s).We first characterize strain solitary waves propagating in a fluid-filled membrane tube when the fluid is stationary prior to wave propagation and the tube is also subjected to a finite stretch. We consider the parameter regime where all traveling waves admitted by the linearized governing equations have nonzero speed. Solitary waves are viewed as waves of finite amplitude that bifurcate from the quiescent state of the system with the wave speed playing the role of the bifurcation parameter. Evolution of the bifurcation diagram with respect to the pre-stretch is clarified. We then study the stability of solitary waves for a representative case that is likely of most interest in applications, the case in which solitary waves exist with speed c lying in the interval [0 , c1) where c1 is the bifurcation value of c, and the wave amplitude is a decreasing function of speed. It is shown that there exists an intermediate value c in the above interval such that solitary waves are spectrally stable if their speed is greater than c and unstable otherwise.
- ПубликацияТолько метаданныеStudy of nonstationary solutions of a generalized Korteweg-de Vries-Burgers equation(2019) Chugainova, A. P.; Shargatov, V. A.; Шаргатов, Владимир Анатольевич© 2019 Author(s).The evolution of structures of special discontinuities representing solutions of the Cauchy problem for a generalized Korteweg-de Vries-Burgers equation is numerically investigated with allowance for complex nonlinearity, dispersion, and dissipation. Various perturbations of these solutions are considered, and a decay scenario for a solution representing a special discontinuity structure is analyzed.
- ПубликацияТолько метаданныеTraveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution(2020) Chugainova, A. P.; Shargatov, V. A.; Шаргатов, Владимир Анатольевич© 2020, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.Solutions of the generalized KdV–Burgers equation are analyzed in the case when the dissipation coefficient depends on the spatial coordinate and time. Solutions in the form of traveling waves describing the structure of discontinuities, including special discontinuities, are studied. In the frame of this problem, nonstationary solutions of the generalized KdV–Burgers equation including the special discontinuity are numerically found.
- ПубликацияТолько метаданныеOn the Structure Stability of a Neutrally Stable Shock Wave in a Gas and on Spontaneous Emission of Perturbations(2020) Kulikovskii, A. G.; Il'ichev, A. T.; Chugainova, A. P.; Shargatov, V. A.; Шаргатов, Владимир Анатольевич© 2020, Pleiades Publishing, Inc.Abstract: We analyze the stability of the structure of a neutrally stable shock wave, which is also referred to as a spontaneously emitting shock wave. We have obtained solutions describing linear sinusoidal perturbations emerging in the structure and downflow which depend on the coordinate along the emitting structure. It is shown that these perturbations decay with time. We have also considered the limit transition for the dimensionless width of the structure, which tends to zero. The results obtained in the limit coincide with classical results when the shock wave is treated as the discontinuity surface.
- ПубликацияТолько метаданныеStability of shock wave structures in nonlinear elastic media(2019) Chugainova, A. P.; Il'ichev, A. T.; Shargatov, V. A.; Шаргатов, Владимир Анатольевич© The Author(s) 2019.The stationary structure stability of discontinuous solutions to nonlinear hyperbolic equations describing the propagation of quasi-transverse waves with velocities close to characteristic ones are studied. A procedure to analyze spectral (linear) stability of these solutions is described. The main focus is the stability analysis of special discontinuities, the stationary structure of which is represented by the integral curve connecting two saddle points corresponding to the states in front of and behind the discontinuity. This analysis is done using the properties of the Evans function, an analytic function on the right complex half-plane, which has zeros in this domain if and only if there exist unstable modes of linearization around a solution representing a special discontinuity with the structure.
- ПубликацияТолько метаданныеSpontaneously Radiating Shock Waves(2019) Kulikovskiy, A. G.; Il'ichev, A. T.; Chugainova, A. P.; Shargatov, V. A.; Шаргатов, Владимир Анатольевич© 2019, Pleiades Publishing, Ltd.Abstract: In this paper, we built a solution representing the structure of a spontaneously radiating shock wave and studied its stability in the linear approximation. We found waves of linear disturbances that can propagate through a structure and waves radiating into the flow region behind the structure, i.e., waves corresponding to the spontaneous radiation of disturbances by a shock wave considered as a discontinuity surface.