05.13.18 (Mathematical modelling, calculating methods, and the program systems)
E-mail:
Keywords:
transport equation,
numerical methods,
nuclear energy,
climat problems,
plasma.
UDC:
517:949, 518.5
Subject:
Creation of methods for numerical solution radiation or neutrons transport equation coupled with other eqiations of comtinious media.
Main publications:
D.F. Baydin, E.N. Aristova, V.Ya. Gol’din, “Comparison of the efficiency of the transport equation calculation methods in characteristics variables”, Transport Theory and Statistical Physics, 37:2–4 (2008), 286–306
E.N. Aristova, “Simulation of radiation transport in channel on the basis of quasi-diffusion method”, Transport Theory and Statistical Physics, 37:5–7 (2008), 483–503
E.N. Aristova, V.Ya. Gol’din, “Computation of anisotropy scattering of solar radiation in atmosphere (monoenergetic case)”, Journal of Quantitative Spectroscopy & Radiative Transfer, 67 (2000), 139–157
E.N. Aristova, A.B. Iskakov, I.G. Lebo, V.F. Tishkin, “2D Lagrangian code LATRANT for simulation radiation gas dynamic problems”, Proceedings of SPIE (European Conference on Laser Interaction with Matter 2002), 5228, eds. O.N.Krokhin, S.Y.Gus’kov, Yu.A.Mercul’ev, 2003, 131–142
V.Ya. Gol’din, E.N. Aristova, G.A. Pestryakova, M.I. Stoynov, Yu.V. Troschiev, “Active zone of the safe fast uranium-plutonium reactor working without a reactivity margin during long time”, Proceedings of International congress on advances in nuclear power plants (ICAPP 2007), 2007, 7133, 7
E. N. Aristova, N. I. Karavaeva, “Bicompact schemes for the HOLO algorithm for joint solution of the transport equation and the energy equation”, Computer Research and Modeling, 15:6 (2023), 1429–1448
2.
E. N. Aristova, G. O. Astafurov, “A third-order projection-characteristic method for solving the transport equation on unstructed grids”, Matem. Mod., 35:11 (2023), 79–93; Math. Models Comput. Simul., 16:2 (2024), 208–216
E. N. Aristova, N. I. Karavaeva, “The bicompact schemes for numerical solving of Reed problem using HOLO algorithms”, Matem. Mod., 33:8 (2021), 3–26; Math. Models Comput. Simul., 14:2 (2022), 187–202
4.
E. N. Aristova, G. O. Astafurov, “Comparison of dissipation and dispersion properties of compact difference schemes for the numerical solution of the advection equation”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1747–1758; Comput. Math. Math. Phys., 61:11 (2021), 1711–1722
E. N. Aristova, N. I. Karavaeva, “Ñonservative limiting method for modification of the CIP method for solving the transport equation”, Keldysh Institute preprints, 2020, 121, 16 pp.
E. N. Aristova, G. O. Astafurov, “Comparison of dissipative-dispersion properties of some conservative difference schemes”, Keldysh Institute preprints, 2020, 117, 22 pp.
E. N. Aristova, G. I. Ovcharov, “Hermite characteristic scheme for linear inhomogeneous transport equation”, Matem. Mod., 32:3 (2020), 3–18; Math. Models Comput. Simul., 12:6 (2020), 845–855
E. N. Aristova, G. O. Astafurov, “About the influence on the accuracy of cubature formulas on the integral characteristics of solutions of the transport equation”, Matem. Mod., 32:1 (2020), 15–30; Math. Models Comput. Simul., 12:5 (2020), 685–695
E. N. Aristova, N. I. Karavaeva, “Implementation of the bicompact scheme for HOLO algorithms for solving the transport equation”, Keldysh Institute preprints, 2019, 021, 28 pp.
E. N. Aristova, N. I. Karavaeva, “The boundary conditions in the bicompact schemes for HOLO algorithms for solving the transport equation”, Matem. Mod., 31:9 (2019), 3–20; Math. Models Comput. Simul., 12:3 (2020), 271–281
E. N. Aristova, G. O. Astafurov, “Characteristics scheme for the transport equation solving on a tetrahedron grid with barycentrical interpolation”, Matem. Mod., 30:9 (2018), 33–50; Math. Models Comput. Simul., 11:3 (2019), 349–359
E. N. Aristova, G. O. Astafurov, A. V. Shilkov, “Calculation of radiation in shockwave layer of a space vehicle taking into account details of photon spectrum”, Computer Research and Modeling, 9:4 (2017), 579–594
E. N. Aristova, M. N. Gertsev, A. V. Shilkov, “Lebesgue averaging method in serial computations of atmospheric radiation”, Zh. Vychisl. Mat. Mat. Fiz., 57:6 (2017), 1033–1047; Comput. Math. Math. Phys., 57:6 (2017), 1022–1035
M. N. Gertsev, A. V. Shilkov, E. N. Aristova, “Heat radiation transfer in the Earth atmosphere”, Keldysh Institute preprints, 2016, 042, 28 pp.
16.
E. N. Aristova, G. O. Astafurov, “The second order short-characteristics method for the solution of the transport equation on a tetrahedron grid”, Matem. Mod., 28:7 (2016), 20–30; Math. Models Comput. Simul., 9:1 (2017), 40–47
E. N. Aristova, M. I. Stoynov, “Bicompact schemes of solving an stationary transport equation by quasi–diffusion method”, Matem. Mod., 28:3 (2016), 51–63; Math. Models Comput. Simul., 8:6 (2016), 615–624
18.
D. F. Baydin, E. N. Aristova, “3D hexagonal parallel code QuDiff for fast reactor critical parameters calculations”, Matem. Mod., 28:1 (2016), 107–116; Math. Models Comput. Simul., 8:4 (2016), 446–452
E. N. Aristova, B. V. Rogov, A. V. Chikitkin, “Optimal monotonization of a high-order accurate bicompact scheme for the nonstationary multidimensional transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 973–988; Comput. Math. Math. Phys., 56:6 (2016), 962–976
E. N. Aristova, B. V. Rogov, A. V. Chikitkin, “Monotonization of high accuracy bicompact scheme for stationary multidimensional transport equation”, Matem. Mod., 27:8 (2015), 32–46; Math. Models Comput. Simul., 8:2 (2016), 108–117
E. N. Aristova, “Bicompact scheme for linear inhomogeneous transport equation in a case of a big optical width”, Matem. Mod., 25:10 (2013), 3–18; Math. Models Comput. Simul., 6:3 (2014), 227–238
E. N. Aristova, D. F. Baydin, B. V. Rogov, “Bicompact scheme for linear inhomogeneous transport equation”, Matem. Mod., 25:5 (2013), 55–66; Math. Models Comput. Simul., 5:6 (2013), 586–594
E. N. Aristova, S. V. Martynenko, “Bicompact Rogov schemes for the multidimensional inhomogeneous linear transport equation at large optical depths”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013), 1684–1697; Comput. Math. Math. Phys., 53:10 (2013), 1499–1511
A. V. Shilkov, M. N. Gerthev, E. N. Aristova, S. V. Shilkova, “Benchmark "line-by-line" calculations of atmospheric radiation”, Computer Research and Modeling, 4:3 (2012), 553–562
E. N. Aristova, G. A. Pestryakova, S. G. Ponomarev, M. I. Stoynov, “Neutron flux computation in a reflector with new carbonic materials”, Keldysh Institute preprints, 2012, 079, 12 pp.
26.
E. N. Aristova, B. V. Rogov, “About implementation of boundary conditions in the bicompact schemes for a linear transport equation”, Matem. Mod., 24:10 (2012), 3–14; Math. Models Comput. Simul., 5:3 (2013), 199–207
E. N. Aristova, D. F. Baydin, “Quasidiffusion method realization for fast reactor critical parameters calculation in 3D hexagonal geometry”, Matem. Mod., 24:8 (2012), 65–80; Math. Models Comput. Simul., 5:2 (2013), 145–155
E. N. Aristova, D. F. Baydin, “Efficiency of quasi-diffusion methods for calculation of crucial parameters of fast reactors”, Matem. Mod., 24:4 (2012), 129–136; Math. Models Comput. Simul., 4:6 (2012), 568–573
E. N. Aristova, D. F. Baydin, “Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method”, Computer Research and Modeling, 3:3 (2011), 279–286
V. Ya. Gol'din, E. N. Aristova, G. A. Pestryakova, M. I. Stoynov, “Project of active zone for the reactor of BN-800 type operating without of the reactivity margin under non-intensive control during long time”, Matem. Mod., 21:10 (2009), 76–84; Math. Models Comput. Simul., 2:3 (2010), 273–280
E. N. Aristova, “Analog for monotone scheme for calculation of non self-conjugated system of quasi-diffusion equations in $r-z$-geometry”, Matem. Mod., 21:2 (2009), 47–59; Math. Models Comput. Simul., 1:6 (2009), 745–756
2008
32.
E. N. Aristova, E. M. Ivanov, O. B. Denisov, N. Yu. Orlov, “Optical database DESOPLA and its using in program complex LATRANT for icf problems solving”, Matem. Mod., 20:12 (2008), 3–14; Math. Models Comput. Simul., 1:6 (2009), 659–668
33.
E. N. Aristova, V. Ya. Gol'din, “Low-cost calculation of multigroup neutron transport equations for time-to-time recalculation of averaged over spectrum cross-sections”, Matem. Mod., 20:11 (2008), 41–54; Math. Models Comput. Simul., 1:5 (2009), 561–572
E. N. Aristova, V. Ya. Gol'din, “The neutron transport equation solving coupled with the quasi-diffusion equations solving in r-z geometry”, Matem. Mod., 18:11 (2006), 61–66
E. N. Aristova, D. F. Baydin, V. Ya. Gol'din, “Two variants of economical method for solving of the transport equation in $r-z$ geometry on the basis of transition to Vladimirov's variables”, Matem. Mod., 18:7 (2006), 43–52
E. N. Aristova, V. Ya. Gol'din, A. S. Dementev, “The difference solving of the two-dimensional steady transport equation in Vladimirov's variables”, Matem. Mod., 18:6 (2006), 44–52
V. Ya. Gol'din, G. A. Pestryakova, Yu. V. Troshchiev, E. N. Aristova, “Self-adjustable neutron-nuclear mode in reactor with hart spectrum and carbide fuel”, Matem. Mod., 14:1 (2002), 27–40
E. N. Aristova, V. Ya. Gol'din, “Nonlinear acceleration of iterative convergence for solving elliptical system of equations”, Matem. Mod., 13:9 (2001), 82–90
V. Ya. Gol'din, G. A. Pestryakova, Yu. V. Troshchiev, E. N. Aristova, “Investigation of self-adjustable neutron-nuclear mode of the second kind in the fast reactor”, Matem. Mod., 12:4 (2000), 33–38
E. N. Aristova, V. Ya. Gol'din, A. V. Shilkov, S. V. Shilkova, “System “ATRAD” for calculations of atmospheric radiation: calculation of solar radiation transport in mid-latitude summer atmosphere”, Matem. Mod., 11:5 (1999), 117–125
E. N. Aristova, V. Ya. Gol'din, “Calculation of anisotropic scattering of solar radiation in atmosphe (monoenergetic case)”, Matem. Mod., 10:9 (1998), 14–34
D. Yu. Anistratov, E. N. Aristova, V. Ya. Gol'din, “A nonlinear method for solving the problems of radiation transfer in medium”, Matem. Mod., 8:12 (1996), 3–28
E. N. Demina, V. A. Rykov, “A method of calculating subsonic flows of a rarefied gas at low Knudsen numbers”, Dokl. Akad. Nauk SSSR, 291:4 (1986), 793–797
2019
50.
O. N. Krokhin, G. N. Rykovanov, V. A. Simonenko, S. G. Garanin, S. A. Bel'kov, G. G. Kochemasov, A. K. Khlebnikov, B. N. Chetverushkin, V. F. Tishkin, N. V. Zmitrenko, V. A. Gasilov, E. N. Aristova, S. Yu. Gus'kov, N. N. Demchenko, G. A. Vergunova, I. Ya. Doskoch, R. V. Stepanov, P. A. Kuchugov, R. A. Yakhin, Ph. A. Korneev, A. A. Ionin, I. G. Zubarev, G. V. Sklizkov, A. A. Rupasov, E. G. Gamaliĭ, I. G. Lebo, V. D. Zvorykin, I. B. Kovsh, A. S. Semenov, “In memory of Vladislav Borisovich Rozanov (11 December 1932 – 5 September 2019)”, Kvantovaya Elektronika, 49:10 (2019), 988 [Quantum Electron., 49:10 (2019), 988]
2014
51.
B. N. Chetverushkin, N. N. Kalitkin, V. I. Ritus, E. N. Aristova, A. V. Shilkov, “In memory of V. Ya. Gol'din”, Matem. Mod., 26:7 (2014), 147–148