A single component and multi -component non -compressed flow simulation method that uses the variable 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, achieve enhanced visual authenticity, high-efficiency visual effects, and avoid complex effects

Active Publication Date: 2022-06-21
NANKAI UNIV
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Problems solved by technology

However, since the density of the mixed fluid is not constant and the velocity field is not discrete, this method is difficult to guarantee the compressibility of the fluid

Method used

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  • A single component and multi -component non -compressed flow simulation method that uses the variable gradient
  • A single component and multi -component non -compressed flow simulation method that uses the variable gradient
  • A single component and multi -component non -compressed flow simulation method that uses the variable gradient

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Embodiment Construction

[0037] 1. Initialization

[0038] Our method can use the general initialization method of existing standard particle method simulation schemes. For each particle, store its position, velocity, volume fraction of components, and density.

[0039] 2. Predictive calculation in single / multi-component fluid simulation method

[0040] According to the explicit solution method of the standard single-component fluid Navier-Stokes momentum equation (see Equation 2 below) and the multi-component fluid mixed flow model Navier-Stokes equation (see Equation 15 below), according to The parameters stored on all particles at the beginning of the current time step are explicitly calculated to obtain a predicted fluid particle acceleration, and further according to the acceleration, the standard fluid simulation advection algorithm is used to obtain the predicted position of the particle in the next time step , velocity, and calculate the deformation gradient and its Jacobian determinant corr...

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Abstract

A simulation method for single-component and multi-component incompressible fluids using deformation gradients. Using deformation gradients, the volume change of single-component or multi-component particles is calculated, and the equation of fluid incompressibility conditions is established based on deformation gradients and used to relax The Jacobian iterative method is used to solve it. The method of the invention realizes the incompressible solution of multi-component fluid, realizes the real multi-component fluid simulation effect, and provides an artistic control scheme, and the simulation efficiency and effect of single-component fluid are comparable to the current advanced method in the industry The effect is comparable.

Description

technical field [0001] The invention relates to the field of computer graphics physical simulation, in particular to a dynamic simulation method and system for single-component and multi-component incompressible fluids. Background technique [0002] Incompressible fluid simulation is the focus of fluid dynamics research, which has an important impact on the visual authenticity and physical reliability of fluid simulation. Multi-component fluid simulation is an important research field in fluid simulation. [0003] For incompressible fluid simulation, the predecessors have a long time to study. Borrowing from grid-based incompressible fluid solvers, earlier methods such as S.J. Cummins and M. Rudman in "An sph projection [0004] In the paper "Method", the incompressibility of the fluid is maintained by directly mapping smooth particles to a discrete grid and solving the incompressible condition. However, this method is sensitive to sampling methods and has poor scale scala...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/25G06F30/28G06F17/12
CPCG06F30/25G06F30/28G06F17/12
Inventor 任博何慰陈戌李晨锋
Owner NANKAI UNIV
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