Abstract
This work deals with a two-way parallelization method of numerical flow simulations under uncertainties with sampling methods for the uncertainty quantification. In general, for such simulations, there are two possibilities to distribute the computation on multiple processors in order to reduce the overall computing time. One approach is to divide the flow domain into several blocks which can be calculated by different processors. The other is to solve the various independent deterministic problems that arise from the sampling method for uncertainty quantification in parallel. Both methods have advantages and disadvantages and can be applied simultaneously, depending on the provided number of processors for the simulation. The presented method assigns the available processors dynamically to both parallelization methods during the simulation of the uncertain flow problem. The aim is to reduce the overall computing time compared to a static parallelization strategy.
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References
Abbot, I.H., von Doenhoff, A.E.: Theory of Wing Sections, Dover, New York (1960)
Harzheim, L.: Strukturoptimierung, Harri Deutsch, Frankfurt (2008)
Horowitz, E., Sahni, S.: Fundamentals of Computer Algorithms. Computer Science Press, Mayland (1978)
Institut of Numerical Methods in Mechanical Engineering: FASTEST-Manual. Technische Universität Darmstadt, Darmstadt (2005)
Lawler, E.L., Lenstra, J.K., Kan, A.H.G.R., Shmoys, D.B.: The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization. Wiley, New York (1985)
Le Maitre, O., Knio, O.: Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics. Springer, Berlin (2010)
MATLAB: MATLAB version R2013a, The MathWorks Inc., Natick, MA (2013)
Schäfer, M.: Computational Engineering, Springer, Berlin (2006)
Schieche, B.: Unsteady Adaptive Stochastic Collocation Methods on Sparse Grids. Dr. Hut (2012)
Thiem, C., Schäfer, M.: Acceleration of Sampling Methods for Uncertainty Quantification in Computational Fluid Dynamics. Proceedings of the Ninth International Conference on Engineering Computational Technology (2014)
Acknowledgement
This work is supported by the ‘Excellence Initiative’ of the German Federal within State Governments and the Graduate School of Computational Engineering at Technische Universität Darmstadt.
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Thiem, C., Schäfer, M. (2015). Dynamic Two-Way Parallelization of Non-Intrusive Methods for Uncertainty Quantification. In: Mehl, M., Bischoff, M., Schäfer, M. (eds) Recent Trends in Computational Engineering - CE2014. Lecture Notes in Computational Science and Engineering, vol 105. Springer, Cham. https://doi.org/10.1007/978-3-319-22997-3_6
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DOI: https://doi.org/10.1007/978-3-319-22997-3_6
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