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Simmakers took part in the International Conference “Earth Cryology: XXI Century”, held on 29.09-03.10.2013 in Pushchino, Russia.
The main issues covered at the conference included processes occurring in permafrost soils; simulation and mapping of permafrost; construction on permafrost; soil hydrology in permafrost areas; permafrost warming and thawing, long-term monitoring of permafrost; subsea permafrost; environmental problems involved in modern cryogenic geosystems, etc.
Representatives from Simmakers made 2 presentations:
The article “Application of the Frost 3D Universal Software for Three-dimensional Simulation of Temperature Distribution in Permafrost during Thermal Stabilization”(#3/2013) has been published in Russian “Journal of Oil and Gas Construction”.
This article is devoted to the application of the Frost 3D Universal software developed by Simmakers Ltd for the computation of 3D temperature fields in foundations of constructions built in the Far North.
The article “Consistency of the Douglas–Rachford splitting algorithm for the sum of three nonlinear operators: application to the Stefan problem in permafrost” was published in the peer-reviewed journal Applied and Computational Mathematics Vol. 2, No. 4, August 2013.
Abstract: Consistency of the Douglas–Rachford dimensional splitting scheme is proved for the sum of three nonlinear operators constituting an evolution equation. It is shown that the operators must be densely defined, maximal monotone and single valued on a real Hilbert space in order to satisfy conditions, under which the splitting algorithm can be applied. Numerical experiment conducted for a three-dimensional Stefan problem in permafrost suggests that the Douglas–Rachford scheme produces reasonable results, although the convergence rate remains unestablished.
Numerical experiment, conducted for 3D Stefan problem in permafrost indicates that Douglas-Rachford algorithm gives reliable results, although the convergence rate remains unknown.
In the simulation of physical processes and phenomena overall there is a problem of numerical solutions of differential problems in partial derivatives. One of the methods for numerical solutions of mathematical physics equations is the approach, based on the finite difference approximation. However, the major drawback of this method is the need to use orthogonal hexahedral mesh. While solving problems in practice, sometimes a complex geometric configuration of the computational domain (for example, see Figure 1) is used, and therefore, the drawback, mentioned above, is enough critical.
Picture 1 – The example of a complex surface as a part of the computational domain
On 3-5 July, 2013 The World Congress on Engineering took place in London, United Kingdom.
Simmakers took part in the Congress and represented the report:
Quasilinear Heat Equation in Three Dimensions and Stefan Problem in Permafrost Soils in the Frame of Alternating Directions Finite Difference Scheme
Abstract — The quasilinear heat equation with thermal conductivity and heat capacity depending on the temperature field in three spatial dimensions is studied in application to the phase transition problem in permafrost soils. The conditions under which the alternating directions Douglas – Rachford finite difference scheme retains numerical stability are explicitly formulated. The comparison with the known analytical similarity solution to the Stefan problem in one spatial dimension is performed.
Index Terms — quasilinear heat equation, Stefan problem, finite differences, alternating directions scheme, numerical stability.
Simmakers took part in the 4th International Conference ENERCON 2013 on innovative development of oil and gas sector, which was held on June 26-28, 2013. Simmakers presented the report “The problem of CAE software application for solving specific problems in oil and gas industry”.
Many scientific institutions and companies from Russia, CIS and other countries took part in the conference. Among them were OAO “Tatneft”, JSC “Zarubezhneft”, The Institute of Petroleum Chemistry, Siberian Division of the Russian Academy of Sciences, Weatherford International Ltd, Republican Unitary Enterprise “Production Association “Belorusneft”, Kruss GmbH, Bal Seal Engineering, IntroVision R&D and many others.
Simmakers took part in the Fourth Oil and Gas conference “Ecosecurity – 2013”, which was held on April 23, 2013 in Moscow. The report “Computer simulation for solving environmental problems in oil and gas industry” was represented to the public.
Representatives of Russian and CIS companies and scientific organizations took part in the conference. Among them were Concern “Belneftekhim”, VNIPIneft, Gazprom VNIIGAZ LLC, Gazprom gaznadzor, Gazprom Dobycha Shelf, Gazpromdevelopment, Tatoilgas, etc.