Abstract
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.
Highlights
Parachute is a complex aeroelastic system the geometrical form of which appears as a result of aerodynamic and elastic forces interaction
For its solution authors developed mathematical model based on simultaneous application of bars method and lumped-mass method to describe canopy deformations [1], and discrete vortices method to model the flow past canopy [2]
On the first step we find the aeroelastic form of canopy in the assumption of steady flow past it using the vortex method and lumped-mass method
Summary
Parachute is a complex aeroelastic system the geometrical form of which appears as a result of aerodynamic and elastic forces interaction. That is why the first problem in computer modeling of a parachute is to simulate the overall process of canopy geometry generation in steady flow. For its solution authors developed mathematical model based on simultaneous application of bars method and lumped-mass method to describe canopy deformations [1], and discrete vortices method to model the flow past canopy [2]. In this article the authors describe an approach based on solution of the above problem in two steps. On the first step we find the aeroelastic form of canopy in the assumption of steady flow past it using the vortex method and lumped-mass method. Final canopy shape obtained on first step of algorithm is used to solve the tied problem of aerodynamics and dynamics of parachute flight where canopy is supposed to be stiff. To increase computational efficiency, the authors used methods of low-rank matrix approximations, as well as parallel implementations of algorithms
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