Single-component and multi-component incompressible fluid simulation method using deformation gradient
A multi-component fluid and compressive fluid technology, applied in the field of computer graphics physical simulation, can solve problems such as difficulty in ensuring fluid compressibility, and achieve the effects of enhancing visual reality, avoiding fluid compression, and avoiding complexity
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[0037] 1. Initialization
[0038] Our method can use a generic initialization method for existing standard particle method simulation schemes. For each particle, store its position, velocity, volume fraction of each component, and density.
[0039] 2. Predictive calculation in single / multi-component fluid simulation method
[0040] According to the display solution method of the standard single-component fluid Navier-Stokes momentum equation (see the following formula 2) and the multi-component fluid mixed flow model Navier-Stokes equation (see the following formula 15), according to The parameters stored on all particles at the beginning of the current time step are calculated explicitly to obtain a predicted fluid particle acceleration, and further based on this acceleration, use the standard fluid simulation advection algorithm to obtain the predicted position of the particle in the next time step , velocity, and calculate the deformation gradient and its Jacobian corresp...
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