Download Computational Science and High Performance Computing IV: The by Andreas Dedner, Dietmar Kröner, Nina Shokina (auth.), Egon PDF

By Andreas Dedner, Dietmar Kröner, Nina Shokina (auth.), Egon Krause, Yurii Shokin, Michael Resch, Dietmar Kröner, Nina Shokina (eds.)

This quantity includes 27 contributions to the Forth Russian-German complicated learn Workshop on Computational technology and excessive functionality Computing provided in October 2009 in Freiburg, Germany. The workshop was once geared up together through the excessive functionality Computing heart Stuttgart (HLRS), the Institute of Computational applied sciences of the Siberian department of the Russian Academy of Sciences (ICT SB RAS) and the part of utilized arithmetic of the college of Freiburg (IAM Freiburg) The contributions diversity from laptop technological know-how, arithmetic and excessive functionality computing to purposes in mechanical and aerospace engineering. They convey a wealth of theoretical paintings and simulation event with a possible of bringing jointly theoretical mathematical modelling and utilization of excessive functionality computing structures proposing the state-of-the-art of computational technologies.

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In the vector-matrix form the Jacobi method is written as follows: Φ (ν +1) = Φ (ν ) − D−1 AΦ (ν ) − F . (9) Here ν is the number of iteration step, superscripts (k + 1) for a time step are omitted, in addition, the entries of the global stiffness matrix and the components of the right-hand side vector depend on time and must be recalculated at the beginning of time step. Notes some features of the implementation caused by FEM. For the Jacobi method on the basis of FEM it is not required to store the global stiffness matrix A.

It cannot be expected that today’s packages can be ported without larger effort to the system at least if the high potential of the machine should be realized. Important will be compiler support for auto-vectorization on the SPEs and OpenMP as parallel programming model on the host processor loading the parallel segments to the SPEs. The small SPE memory restricts the memory consumption of data and instructions. Overlay techniques forgotten in the eighties will be reinvented again. HPC Processor Technologies and Their Impact on Simulation 21 The future of the Cell Processor systems is not yet entirely clear.

10 10 t = 20, numerical t = 20, exact discharge hv [m2/s] 5 2 discharge hu [m /s] t = 20, numerical t = 20, exact 0 -5 -10 -400 -300 -200 -100 x [m] 0 100 200 5 0 -5 -10 -400 -300 -200 -100 0 x [m] Fig. 2 Dam Break Problem The dam break problem with a known exact solution [6] is solved numerically. The domain settings and initial data are taken as in [8]. The figure 2 shows the values of the total water height H and the discharge hu for different time moments. The grid with 240*40 nodes is taken for the simulation.

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