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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 105
PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY
Edited by:
Paper 72

Acceleration of Sampling Methods for Uncertainty Quantification in Computational Fluid Dynamics

C.W.T. Thiem and M. Schäfer

Institute of Numerical Methods in Mechanical Engineering and Graduate School Computational Engineering, Technische Universität Darmstadt, Germany

Full Bibliographic Reference for this paper
, "Acceleration of Sampling Methods for Uncertainty Quantification in Computational Fluid Dynamics", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 72, 2014. doi:10.4203/ccp.105.72
Keywords: uncertainty quantification, flow simulation, genetic optimization, sampling methods, traveling salesman problem.

Summary
This paper presents a method to reduce the computation time of sampling methods for uncertainty quantification (UQ) in computational fluid dynamics (CFD) for steadystate flow problems. The acceleration method takes advantage of numerical properties of the mentioned procedure for UQ as well as of a finite-volume method based CFD solver. In the latter it is about the characteristic that the flow field is solved by an iterative procedure. Through that the number of iterations until convergence and hence the computing time depends among others on the initially chosen solution. This implies that the solving process takes less time the better the chosen initial solution is. For instance, good initial solutions for flow problems that are connected with UQ are previously calculated flow fields of other sampling points, because there are only small variations in parameters. This, combined with the property of sampling methods that all necessary sample points can be computed independently of each other, is the basic idea of our acceleration method. Thus, there exist favorable and unfavorable orders to calculate the sampling points. Accordingly, the presented technique is a method to optimize the order in which the sampling points should be calculated with respect to the computation time.

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