Abstract
In this paper, the computational performance of a novel parallel code for simulating collision–coalescence of aerodynamically interacting droplets in turbulent flows is examined. Modeling such systems is essential for the quantitative description of processes relevant to precipitation formation. This knowledge, in turn, is crucial to develop more realistic parameterizations in numerical weather forecasting systems. The code is based on the standard Eulerian–Lagrangian approach. Direct numerical simulations (DNS) to solve the homogeneous isotropic turbulence are combined with analytical solutions of the Stokes flow to account for aerodynamic interaction (AI) among particles. Also, short-range interaction, the so-called lubrication forces, between particles is incorporated into the algorithm to improve the AI representation. The cubic computational domain is decomposed into smaller subdomains where calculations are handled by different processes. The Message Passing Interface (MPI) library is employed to transfer particle and flow data. This hybrid DNS (HDNS) algorithm enables tracking millions of interacting droplets in turbulent flows simulated on high-resolution meshes. The performance is evaluated by measuring the wall-clock time of major numerical operations. The results compare the time for treating AI, measured separately for long- and short-range forces, with the time required for the other particle operations as well as the time to advance the turbulent flow field. The effects of the number and size of the particles, the range of AI, and the number of processors are examined.
Supported by National Science Centre of Poland.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Wang, L.-P., Maxey., M. R.: Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence. J. Fluid Mech. 256, 27–68 (1993). https://doi.org/10.1017/S0022112093002708
Wang, L.-P., Ayala, O., Grabowski, W. W.: Improved formulations of the superposition method. J. Atmosp. Sci. 62(4), 1255–1266 (2005). https://doi.org/10.1175/JAS3397.1
Ayala, O., Grabowski W.W., Wang, L.-P.: A hybrid approach for simulating turbulent collisions of hydrodynamically-interacting particles. J. Comput. Phys. 225(1), 51–73 (2007). https://doi.org/10.1016/j.jcp.2006.11.016
Ayala, O., Parishani, H., Chen, L., Rosa, B., Wang, L.-P.: DNS of hydrodynamically interacting droplets in turbulent clouds: Parallel implementation and scalability analysis using 2D domain decomposition. Comput. Phys. Commun. 185(12), 3269–3290 (2014). https://doi.org/10.1016/j.cpc.2014.09.005
Jeffrey, D.J., Onishi, Y.: Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow. J. Fluid Mech. 139, 261–290 (1984). https://doi.org/10.1017/S0022112084000355
Ababaei, A., Rosa, B., Pozorski, J., Wang, L.-P.: On the effect of lubrication forces on the collision statistics of cloud droplets in homogeneous isotropic turbulence. J. Fluid Mech. 918 (2021). https://doi.org/10.1017/jfm.2021.229
Buaria, D., Pumir, A., Bodenschatz, E., Yeung, P.K.: Extreme velocity gradients in turbulent flows. New J. Phys. 21(4), 043004 (2019). https://doi.org/10.1088/1367-2630/ab0756
Buaria, D., Bodenschatz, E., Pumir, A.: Vortex stretching and enstrophy production in high Reynolds number turbulence. Phys. Rev. Fluids 5(10), 104602 (2020). https://doi.org/10.1103/PhysRevFluids.5.104602
Torres, C. E., Parishani, H., Ayala, O., Rossi, L.F., Wang, L.-P.: Analysis and parallel implementation of a forced N-body problem. J. Comput. Phys. 245, 235–258 (2013). https://doi.org/10.1016/j.jcp.2013.03.008
Rosa, B., Parishani, H., Ayala, O., Grabowski, W.W., Wang, L.-P.: Kinematic and dynamic collision statistics of cloud droplets from high-resolution simulations. New J. Phys. 15(4), 045032 (2013). https://doi.org/10.1088/1367-2630/15/4/045032
Acknowledgements
We wish to thank the financial support of the National Science Centre of Poland under the grant 2018/30/Q/ST8/00341. Also, we are grateful for the computational resources provided by the Interdisciplinary Centre for Mathematical and Computational Modelling (ICM) at the University of Warsaw, Poland, under grant numbers GA73-14 and G87-1145.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Ababaei, A., Michel, A., Rosa, B. (2023). A Novel Parallel Approach for Modeling the Dynamics of Aerodynamically Interacting Particles in Turbulent Flows. In: Wyrzykowski, R., Dongarra, J., Deelman, E., Karczewski, K. (eds) Parallel Processing and Applied Mathematics. PPAM 2022. Lecture Notes in Computer Science, vol 13826. Springer, Cham. https://doi.org/10.1007/978-3-031-30442-2_27
Download citation
DOI: https://doi.org/10.1007/978-3-031-30442-2_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-30441-5
Online ISBN: 978-3-031-30442-2
eBook Packages: Computer ScienceComputer Science (R0)