Workshop

s of Talks: M. Yamamoto: "Practice of Industrial Mathematics: Combination of Theories and Applications to the Real-world" Abstract: On the basis of my experiences for 10 years in the industrial mathematics, I speak about the practice of the industrial mathematics aiming at fulfilling missions from the industry and emphasize that the practice should be beneficial both to the academia and the industry. I will discuss current situations around mathematical communities in Japan, and present two case studies in steel industries. Y. Tan: "Study Group and Mathematical Problems in Industry" Abstract: Study Group (Study Group with industry) started in 50’s of the 20 century in Oxford University,England. Since it is efficient to solve industrial mathematical problems, it became a most popular way to solve industrial problems and had been widely held all over the world. Since 2000, seven Study Groups have been held in China (including Hong Kong). Many industrial mathematical problems have been appeared in those Study Groups. Since academic people and industrial people are joining together for a whole week and discuss face to face, those problems can be understood well and the solution process can be shortened. In this talk, we will survey the industrial problems appeared in Chinese Study Groups and show solutions for blast furnace corrosion problem and dust and plume pollution problem in steel industry. D. Hoemberg: "Coupling of Process, Machine, and Work-piece in Production Processes -a Challenge for Industrial Mathematics" Abstract: To remain competitive with low-wage countries, it is of vital importance for industrialised nations like Japan or Germany to maintain a high degree of automation in manufacturing. To achieve this goal, important challenges are the reduction of batch sizes, e.g., in automotive industry, the acceleration of ramp-up and down stages and the automatic reconfiguration of production processes. An important step in this direction is the study of interactions between machine, work-piece, and the process, which is carried out on the respective machine. The traditional approach used to be a separate study of machine and process dynamics as well as material behaviour of the machined work-piece. However, for a refined and more precise simulation and control of complex production processes, it is important to take a holistic view and to study especially the coupling of these effects We illustrate this approach in the case of a milling process. Here the productivity is limited by the occurrence of chatter caused by vibrations of cutter and work-piece. We model the machine dynamics in terms of a multi-body system, the work-piece is described as a linear thermo-elastic continuum. The coupling of both parts is realized by an empirical process model permitting an estimate of heat and coupling forces occurring during milling. After a brief derivation of the governing equations emphasizing the coupling, we discuss the well-posedness of the resulting system. We show how the system can be treated numerically, including the effect of material removal due to cutting. Numerical results confirm that process instabilities can be induced by the machine as well as by work-piece effects. The talk concludes with an outlook on further coupling effects between structure and process in manufacturing engineering. This is a joint work with Krzysztof Chelminski (Warsaw University of Technology) and Oliver Rott (Weierstrass Institute for Applied Analysis and Stochastics, Berlin). T. Tang: "Recent Development of Scientific Computation with Mesh Activity" Abstract: In this talk, we shall discuss the idea of adaptive grid methods for solving partial differential equations. These methods involve the solution of the underlying PDE for the physical solution in conjunction with a so-called moving mesh PDE for the mesh itself. We also present an adaptive moving grid strategy for partial differential equations in twoand three-space dimensions. The algorithm automatically adjusts the size of the finite elements in the physical domain to resolve the relevant scales in multiscale physical systems while minimizing computational costs. Some subtle issues in the moving mesh scheme, in particular the solution interpolation from the old mesh to the new mesh and the choice of monitor functions, will be addressed. This talk will describe and review some recent developments of adaptive grid methods, especially their applications to computational fluid dynamics. J. Cheng: "The Mathematical Analysis of the Diffusion Process and its Applications" Abstract: In this talk, we will present some results about the diffusion process and related application. It is shown that the mathematical results are useful for contructing the stable numerical algorithms and give more information for the engineers. (Version on 24 Feb.)