Godunov, Sergey Konstantinovich

Sergey Konstantinovich’s father is Konstantin Dmitrievich Godunov (1892-1965), a Soviet aeronaut, a balloon designer, and a participant in the flight on the USSR-1 stratosphere balloon .

In 1951, S.K. Godunov graduated from the Faculty of Mechanics and Mathematics of Moscow State University .

In 1951-1953 he worked as a researcher at the Institute of Mathematics. V.A. Steklov , in 1953-1969 - at the Institute of Applied Mathematics. M.V. Keldysh (since 1962 - head of the laboratory); in parallel with scientific activities, he taught at Moscow State University. In 1954 he defended his thesis, in 1965 he became a doctor of physical and mathematical sciences.

In 1969, S.K. Godunov moved from Moscow to the Novosibirsk Academgorodok and from 1969 to 1980 was the head of the laboratory at the Computing Center of the Siberian Branch of the USSR Academy of Sciences, and since 1980 he has been working at the Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (since 1992 - SB RAS) . In 1969-1997 he was a professor at the Department of Differential Equations of the MMF NSU , in 1977-1989 he was the head of the department.

Since December 23, 1976 - Corresponding Member of the USSR Academy of Sciences in the Department of Mathematics.

Since March 31, 1994 - Academician of the Russian Academy of Sciences .

Since 1997 - Professor Emeritus at the University of Michigan (USA).

The main part of the scientific results of S. K. Godunov relates to the theory of partial differential equations and methods for their numerical solution. He contributed to the development of the general theory of difference schemes used in solving differential equations.

In 1954, Godunov developed an effective difference scheme for solving gas dynamics equations — the Godunov scheme, which is based on the solution of the problem of the decay of an arbitrary discontinuity in a gas medium ^[1] . Nowadays, the Godunov scheme of the 1st order of accuracy is widely used in solving direct problems of gas dynamics for the numerical simulation of internal, external, and jet flows ^[2] .

In 1959, Godunov revealed ^{[3] the} relationship between the postulates of phenomenological thermodynamics and the Hadamard postulate on the correctness of equations of mathematical physics ^[4] . He singled out an important class of thermodynamically consistent (twice divergent) systems, which also contains a system of equations of gas dynamics ^[5] .

In 1960, a report by S.K. Godunov, A.I. Zhukov, K.A. tasks ^[6] .

In 1961, S.K. Godunov proposed a method for the numerical solution of stationary multidimensional problems of gas dynamics , based on the calculation of the process of establishing an unsteady flow (using this method, many problems of stationary flow are currently being successfully solved) ^[7] .

In the same year, Godunov ^[8] received a new version of writing the equations of gas dynamics - in the form of a symmetric hyperbolic system , which greatly facilitated their mathematical study. In 1972, he transferred ^{[9] the} technique of symmetrizing equations to the equations of magnetic hydrodynamics ^[10] .

In 1972, S. K. Godunov, together with E. I. Romensky, proposed ^{[11] a} model of an isotropic viscoelastic medium with nonlinear defining relations , which allows one to describe the effects of relaxation of tangential stresses. This model is a generalization of the Maxwell model to the case of finite strains and takes into account the significant dependence of the relaxation time on the stress state of the medium and its temperature. The model is applicable, in particular, when describing the processes of explosive deformation of metals, when the solutions of the equations of motion of the medium at low and moderate stresses should go over into the solutions of the equations of the theory of elasticity , and under intense loads - into the solutions of the equations of hydrodynamics ^[12] .

He was engaged in research on the creation of a mathematical theory of processes that accompany the deformation of metals during explosion welding . The calculations carried out under the guidance of Godunov by the staff of his laboratory at the Computing Center of the Siberian Branch of the Russian Academy of Sciences made it possible to predict an important mechanical effect - the formation of a submerged jet of a weldable metal component (such a jet was later discovered experimentally). The jet theory created with Godunov’s participation became the basis of a new method for measuring the viscosity of metals under high-speed deformations ^[5] .

Godunov made an important contribution to the development of methods for calculating the critical parameters of nuclear reactors , where he successfully applied the orthogonal sweep method ^[13] .

Together with his students, S. K. Godunov also worked on problems of computational linear algebra , developing algorithms that provide guaranteed accuracy in solving the spectral problem for asymmetric matrices ^[14] .

• Order of the Badge of Honor (1954)
• Order of the Red Banner of Labor (1956)
• Lenin Prize in the field of military science and military equipment (1959)
• A.N. Krylov Prize of the Academy of Sciences of the USSR (1972) for a series of works on the use of processes associated with explosion welding to study the behavior of metals
• Order of the Red Banner of Labor (1975)
• Prize named after M. A. Lavrentiev (1993) - for the monograph "Elements of the mechanics of a continuous medium"

• Godunov S.K. Thermodynamics of gases and differential equations // Uspekhi Matematicheskikh Nauk . - 1959. - T. 14, no. 5 (89) . - S. 97-116 .
• Godunov S.K. An interesting class of quasilinear systems // Reports of the USSR Academy of Sciences . - 1961. - T. 139, No. 3 . - S. 521-523 .
• Godunov S.K.Equations of mathematical physics. - M .: Nauka , 1971. - 416 p.
• Godunov S.K. Symmetric form of the equations of magnetohydrodynamics // Computational methods of continuum mechanics. - 1972. - T. 3, No. 1 . - S. 26—34 .
• Godunov S.K., Romensky E.I. Nonstationary equations of the nonlinear theory of elasticity in Euler coordinates // Applied Mechanics and Technical Physics. - 1972. - Vol. 6 . - S. 124-144 .
• Godunov S.K., Zabrodin A.V. , Ivanov M. Ya., Kraiko A.N. , Prokopov G.P. Numerical solution of multidimensional problems of gas dynamics. - M .: Nauka , 1976 .-- 400 p.
• Godunov S.K., Ryaben'ky V.S. Difference schemes. Introduction to the theory. 2nd ed. - M .: Nauka , 1977 .-- 440 p.
• Godunov S.K. Elements of continuum mechanics. - M .: Nauka , 1978.- 304 p.
• Godunov S.K., Antonov A.G., Kirilyuk O.P., Kostin V.I. Guaranteed accuracy of solving systems of linear equations in Euclidean spaces. - Novosibirsk: Nauka , 1992 .-- 360 p. - ISBN 5-02-029962-6 .

• Belykh V. N. About scientific and pedagogical activity of S. K. Godunov // Mathematics in applications. All-Russian Conf., Dedicated to the 80th anniversary of Academician S.K. Godunov (Novosibirsk, July 20–24, 2009): Abstract. reports. - Novosibirsk: Institute of Mathematics SB RAS, 2009 .-- 334 p. - S. 5-12. - ISBN 978-5-86134-158-5 .
• Galina Kazarina . On the benefits of false hypotheses // Expert Siberia, 2007, No. 32 (174) for September 3.
• Kireev V.I., Voinovsky A.S. Numerical modeling of gas-dynamic flows. - M .: Publishing House of the Moscow Aviation Institute, 1991 .-- 254 p. - ISBN 5-7035-0148-2 .

• Profile of S. K. Godunov on the official website of the RAS
• Personal page of S. K. Godunov on the official website of the IM SB RAS