Supercomputer Modeling of Parachute Flight Dynamics

Alexey V. Setukha, Vladimir A. Aparinov, Andrey A. Aparinov


In this article the authors present parallel implementation of numerical method for computer modeling of dynamics of a parachute with filled canopy. To solve the 3D problem of parachute free motion numerically, authors formulate tied problem of dynamics and aerodynamics where aerodynamic characteristics are found with discrete vortices method on each step of integration in time, and to find motion law the corresponding motion equations have to be solved. The solution of such problems requires high computational resources because it is important to model parachute motion during a long physical time period. Herewith the behavior of vortex wake behind the parachute is important and has to be modeled. In the approach applied by the authors the wake is modeled as a set of flexible vortex elements. So to increase computational efficiency, the authors used methods of low-rank matrix approximations, as well as parallel implementations of algorithms. Short description of numerical method is presented, as well as the examples of numerical modeling.

Full Text:



Leonov, S.V., Morozov, V.I., Ponomarev, A.T.: Shape modeling and strenght analysis of parachutes. Mechanics of Solids. 46(2), 311–324 (2011), DOI: 10.3103/S0025654411020208

Aparinov, A.A., Setukha, A.V.: Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments. Computational Mathematics and Mathematical Physics 50(5), 890–899 (2010), DOI: 10.1134/S096554251005012X

Aparinov, A.A., Setukha, A.V.: Parallelization in the vortex method for solving aerodynamic problems. Vychisl. Metody Programmir. 14, 406–418 (2013). (in Russian)

Aparinov, A.A., Setukha, A.V., Stavtsev, S.L.: Parallel implementation for some applications of integral equations method. Lobachevskii Journal of Mathematics 39(4), 477–485 (2018), DOI: 10.1134/S1995080218040029

Publishing Center of South Ural State University (454080, Lenin prospekt, 76, Chelyabinsk, Russia)