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- W2801295370 abstract "It is well known that the computation of the Basset-like history force is very demanding in terms of CPU and memory requirements, since it requires the evaluation of a history integral. We use the recent rational theory of Beylkin & Monzón ( Appl. Comput. Harmon. Anal. , vol. 19, 2005, pp. 17–48) to approximate the history kernel in the form of exponential sums to reformulate the viscous history force in a differential form. This theory allows us to approximate the history kernel in terms of exponential sums to any desired order of accuracy. This removes the need for long-time storage of the acceleration histories of the particle and the fluid. The proposed differential form approximation is applied to compute the history force on a spherical particle in a synthetic turbulent flow and a wall-bounded turbulent channel flow. Particles of various diameters are considered, and results obtained using the present technique are in reasonable agreement with those achieved using the full history integral." @default.
- W2801295370 created "2018-05-17" @default.
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- W2801295370 date "2018-04-16" @default.
- W2801295370 modified "2023-09-27" @default.
- W2801295370 title "Differential formulation of the viscous history force on a particle for efficient and accurate computation" @default.
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- W2801295370 doi "https://doi.org/10.1017/jfm.2018.217" @default.
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