Simulation method and system for incompressible fluid based on density and divergence

Abstract

The invention discloses an incompressible fluid simulation method based on density preservation and no divergence, which comprises the following steps: S1, initializing particle information; S2, calculating the intermediate velocity and the intermediate position of the particles; S3, calculating the density of particles; S4, calculating a constraint factor of the particle; S5, calculating the displacement of the particles; S6, updating the position of the particles; 7, repeating steps S4 to S6 until the number of iterations reaches a maximum value and the constraint factor is greater than a threshold value. The invention also discloses a simulation system of incompressible fluid based on density preservation and no divergence. The invention not only improves the time efficiency of the simulation, but also the distribution of the fluid simulation is more uniform and stable than the previous method.

Description

technical field [0001] The invention relates to the technical field of computer graphics, in particular to a method for simulating incompressible fluids based on density and divergence and a simulation system for incompressible fluids based on density and divergence. Background technique [0002] In the field of computer graphics, the simulation of natural phenomena based on the SPH (Smoothed Particle Hydrodynamics) theory has always been a hot topic. Some important research results have been published, such as simulation methods for smoke, waves, solid-liquid coupling, viscous fluids, viscoelastic fluids and mixed fluids. These natural phenomena can be simulated and visualized in virtual worlds. However, some difficult challenges still exist. When simulating liquids, how to control the time consumption of the algorithm to obtain good performance under the premise of ensuring the incompressibility of the fluid is also one of the difficulties. [0003] SPH is a free-surface...

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Problems solved by technology

[0015] However, this technique has the following problems: (1) There is no simultaneous consideration and combination of the constant density condition and the no-divergence condition. Most of the techniques consider the density invariance condition and the no-divergence condition separately, which will lead to fluid simulation The algorithm consumes more additional computing time, never reducing the efficiency of the simulation

(2) Most of the existing technologies consider the condition of constant density and no divergence separately. The density considers the displacement as a variable, and the non-divergence considers the velocity as a variable, resulting in non-uniform variables in the continuity equation and indirectly leading to The distribution of particles in the simulated fluid hitting the wall fluid is not regular and uniform, making the simulated particle fluid look unnatural and not close to the real fluid

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