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(1965)
Translated under the title Analiticheskaya dinamika
M.V. Abakumov, S.I. Mukhin, Yu.P. Popov, V.M. Chechetkin (1996)
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Study of Equilibrium Configurations of a Gas Cloud Near a Gravitating Center, Astronom
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Mathematical Modeling of the Structure of the Accretion Disk in Binary Star Systems
L. Pars (1981)
A Treatise on Analytical Dynamics
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Metod differentsial'nogo priblizheniya. Primenenie k gazovoi dinamike (The Method of Differential Approximation
(1961)
A Finite-Difference Scheme for Two-Dimensional Nonstationary problems of Gas Dynamics and Calculation of the Flow with a Receding Shock Wave
M. Abakumov (2015)
Construction of Godunov-Type Difference Schemes in Curvilinear Coordinates and an Application to Spherical CoordinatesComputational Mathematics and Modeling, 26
T. Matsuda, N. Sekino, E. Shima (1989)
Theory of Accretion Disks
(2011)
Predstavlenie uravnenii Nav’e–Stoksa v krivolineinykh koordinatakh (Representation of Navier–Stokes Equations in Curvilinear Coordinates)
(2003)
Mekhanika zhidkosti i gaza
S.R. Chakravarthy, S. Osher (1985)
A New Class of High Accuracy TVD Schemes for Hyperbolic Conservation LawsAIAA Pap., 85-0363
P. Roe (1986)
CHARACTERISTIC-BASED SCHEMES FOR THE EULER EQUATIONSAnnual Review of Fluid Mechanics, 18
M. Abakumov (2014)
Method for the Construction of Godunov-Type Difference Schemes in Curvilinear Coordinates and its Application to Cylindrical CoordinatesComputational Mathematics and Modeling, 25
M. Hirose, Y. Osaki (1989)
Hydrodynamic Simulation of Accretion Disks in Cataclysmic Variables
T. Matsuda, Nobuhiro Sekino, E. Shima, K. Sawada, H. Spruit (1989)
Mass transfer by tidally induced spiral shocks in an accretion diskAstronomy and Astrophysics, 235
(1978)
Differentsial’nye priblizheniya raznostnykh skhem (Differential Approximations to Finite-Difference Schemes)
(1959)
A Finite-Difference Method for Numerical Calculation of Discontinuous Solutions of the Equations of Hydrodynamics
L.I. Sedov (1970)
Mekhanika sploshnoi sredy
(1970)
Mekhanika sploshnoi sredy (Continuum Mechanics)
M.V. Abakumov, S.I. Mukhin, Yu.P. Popov, V.M. Chechetkin (2003)
Comparison of Results of Mathematical Modeling of the Structure of the Accretion Disk of a Binary Star System in Two-and Three-Dimensional ApproximationAstronom. Zh., 80
(1965)
Vektornoe ischislenie i nachala tenzornogo ischisleniya (Vector Calculus and Basics of Tensor Calculus)
A.A. Samarskii, Yu.P. Popov (1992)
Raznostnye metody resheniya zadach gazovoi dinamiki
(1990)
Instability of Accretion Discs with Spiral Shocks
N.E. Kochin (1965)
Vektornoe ischislenie i nachala tenzornogo ischisleniya
S. Chakravarthy, S. Osher (1985)
A new class of high accuracy TVD schemes for hyperbolic conservation laws. [Total Variation Diminishing]
Bernd Einfeld (1988)
On Godunov-type methods for gas dynamicsSIAM Journal on Numerical Analysis, 25
Yu.I. Shokin, N.N. Yanenko (1985)
Metod differentsial’nogo priblizheniya. Primenenie k gazovoi dinamike
R. Wilson (1973)
BLACK HOLES IN BINARY SYSTEMSAnnals of the New York Academy of Sciences, 224
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M.V. Abakumov, A.P. Favorskii, A.B. Khrulenko (2011)
Predstavlenie uravnenii Nav’e–Stoksa v krivolineinykh koordinatakh
Yu.M. Davydov, V.P. Skotnikov (1978)
Differentsial’nye priblizheniya raznostnykh skhem
We study the effect of the approximation viscosity of Godunov-type difference schemes in a model problem on the accretion disk in a binary star system. Computations are carried out by schemes of the first and increased approximation order. In the higher-order scheme, we take into account the viscous stress tensor, which is used to model the influence of the approximation viscosity observed in the first-order scheme. It is noteworthy that the approximation viscosity can lead to global qualitative changes in the flows to be modeled. The numerical results given in the paper are of independent interest in that they illustrate some new specific features of gasdynamic flows in this classical problem of modern astrophysics.
Differential Equations – Springer Journals
Published: Aug 9, 2016
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