A self-adaptive SPH fluid simulation method based on an average kernel function and an iteration density change rate

Abstract

The invention provides a self-adaptive SPH fluid simulation method based on an average kernel function and an iteration density change rate. under an SPH framework; the particle density and the support domain are solved through an iteration mode; interpolation solution is carried out on the physical quantities of the target particles by using the neighbor particle groups with the same total mass;the stress of the target particles is calculated; Therefore, the displacement of the target particles is obtained. updating of the target particle state is completed; a domain is supported for adaptive particles; Based on a particle stress symmetry target, the problem that the particle interpolation error is too large due to the fact that a traditional SPH particle support domain is fixed is solved, the simulation result is closer to the physical fact, the simulation effect is more realistic, fluid motion is more compact and adaptive to the particle support domain, and the force interpolationeffect is more excellent; And finally, through the average kernel function, the problem of particle interaction force asymmetry introduced by the variable support domain is solved, so that the simulation system is more stable.

Description

technical field [0001] The invention relates to the technical field of computer simulation, in particular to an adaptive SPH fluid simulation method based on an average kernel function and an iterative density change rate. Background technique [0002] In the field of computer graphics, in recent years, the particle-based Lagrangian method has gradually become the main tool for fluid simulation, especially the Smoothed Particle Hydrodynamics (SPH) method, which can describe the medium more naturally In the process of movement, simulate more fluid details, such as foam, water splash, etc., and deal with more complex fluid surfaces, and this method has a small amount of calculation and is easy to implement. [0003] However, due to the discretization of particles and the limitation of the simulation area, the SPH method inevitably increases the numerical dissipation, which will lead to the loss of many tiny details in the fluid simulation process, and SPH needs a large number ...

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Problems solved by technology

[0004] Aiming at the deficiencies of the prior art, the present invention provides an adaptive SPH fluid simulation method based on the average kernel function and iterative density change rate. The present invention can solve the calculation error caused by the influence of the fixed particle support domain in the traditional SPH method. The method solves the particle density change rate and the support domain change rate by iterating a set of equations, effectively reducing the calculation error caused by the existing method of solving the variable support domain based on the density change rate; and by designing a set of particle neighbor search Scheme and average interpolation kernel function average kernel function to solve the problem of particle interaction force asymmetry caused by variable support domain

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