High-Order Variational Time Integrators for Particle Dynamics

Miglio, Edie; Parolini, Nicola; Penati, Mattia; Roberto, Porcu,

doi:10.2478/caim-2018-0015

Cited by 2 publications

(2 citation statements)

References 15 publications

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“…However, it has been shown in Porcù (2013) and Miglio et al (2018) that implicit high-order methods, such as spectral variational integrators , can also be highly efficient, allowing a larger timestep size to achieve the same level of accuracy in comparison to lower order methods. In this direction, for future development, it would also be interesting to investigate the implementation of high-order time integrators in brownout simulations.…”

Section: Discussionmentioning

confidence: 99%

“…The adopted time-integration scheme is the semi-implicit Euler method, which is a first-order symplectic integrator capable of preserving the total energy, then reducing the numerical dissipation. For higher order methods that can be applied to particle mechanics and brownout problems, for example, Störmer–Verlet or spectral variational integrators, we refer to Porcù (2013) and Miglio et al (2018).…”

Section: Mathematical and Numerical Modelmentioning

confidence: 99%

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HPC simulations of brownout: A noninteracting particles dynamic model

Roberto

Miglio

Parolini

et al. 2020

The International Journal of High Performance Computing Applica

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Helicopters can experience brownout when flying close to a dusty surface. The uplifting of dust in the air can remarkably restrict the pilot’s visibility area. Consequently, a brownout can disorient the pilot and lead to the helicopter collision against the ground. Given its risks, brownout has become a high-priority problem for civil and military operations. Proper helicopter design is thus critical, as it has a strong influence over the shape and density of the cloud of dust that forms when brownout occurs. A way forward to improve aircraft design against brownout is the use of particle simulations. For simulations to be accurate and comparable to the real phenomenon, billions of particles are required. However, using a large number of particles, serial simulations can be slow and too computationally expensive to be performed. In this work, we investigate an message passing interface (MPI) + graphics processing unit (multi-GPU) approach to simulate brownout. In specific, we use a semi-implicit Euler method to consider the particle dynamics in a Lagrangian way, and we adopt a precomputed aerodynamic field. Here, we do not include particle–particle collisions in the model; this allows for independent trajectories and effective model parallelization. To support our methodology, we provide a speedup analysis of the parallelization concerning the serial and pure-MPI simulations. The results show (i) very high speedups of the MPI + multi-GPU implementation with respect to the serial and pure-MPI ones, (ii) excellent weak and strong scalability properties of the implemented time-integration algorithm, and (iii) the possibility to run realistic simulations of brownout with billions of particles at a relatively small computational cost. This work paves the way toward more realistic brownout simulations, and it highlights the potential of high-performance computing for aiding and advancing aircraft design for brownout mitigation.

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Section: Discussionmentioning

confidence: 99%

Section: Mathematical and Numerical Modelmentioning

confidence: 99%