By Egon Krause, Yurii I. Shokin, Nina Shokina
This quantity includes 27 contributions to the second one Russian-German complex learn Workshop on Computational technological know-how and excessive functionality Computing offered in March 2005 at Stuttgart, Germany. The workshop used to be geared up together by means of the excessive functionality Computing heart Stuttgart (HLRS) and the Russian Institute for Computational applied sciences (ICT SB RAS) The contributions diversity from laptop technology, arithmetic and excessive functionality computing to functions in mechanical and aerospace engineering. They convey a wealth of theoretical paintings and simulation adventure with a possible of bringing jointly theoretical mathematical modelling and utilization of excessive functionality computing structures offering the state-of-the-art of computational technologies.
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Additional info for Computational science and high performance computing II: the 2nd Russian-German Advanced Research Workshop: Stuttgart, Germany, March 14 to 16, 2005
The described parallelization technology can be applied to other problems. 6 Perspectives and challenges The present paper describes the physical model and the numerical modelling of an airbag combustion chamber. It points out which steps have to be taken to the modelling of a full airbag deployment. As the calculation of a combustion process with the current model is already calculation time intensive, high performance computing systems are considered as target platforms. Within the next stages of the project the following topics will be covered: • the veriﬁcation and further improvement of the physical model also using experimental data; • the extension of the simulation to the deployment process of an airbag shell including ﬂuid-structure coupling and interaction of reaction products and the shell; • the analysis of the parallel code and its optimization for its usage on large PC clusters and vector systems.
Let us note, that for the arbitrary nonnegative function θ ( x, t) such that θ = O(h), it is practically impossible to get the conditions (7) fulﬁlled. Even, if a(u) = const and the conditions (7) are fulﬁlled, and, therefore, the considered scheme remains monotonic, then it has a signiﬁcant disadvantage. This disadvantage is that in order to maintain the second order of approximation and monotonicity for the ﬁne grids, the calculation has to be done with the Courant numbers, close to one. Moreover, the ﬁner grid is used, the closer the Courant number must be to one.
Shokin Yu, Khakimzyanov G (1997) Introduction to the method of differential approximation. M. de Summary. With the increase of processor performance numerical simulation has become a ubiquitous technology both in science and industry. In both ﬁelds it is part of a workﬂow or a process chain in which it has to be integrated in a seamless way. In research this integration is sometimes referred to as e-science. The term indicates that electronic means change the way scientists work. In industry the key words are information lifecycle management (ILM) and product lifecycle management (PLM).