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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

Active Publication Date: 2021-07-23
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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  • Single-component and multi-component incompressible fluid simulation method using deformation gradient
  • Single-component and multi-component incompressible fluid simulation method using deformation gradient
  • Single-component and multi-component incompressible fluid simulation method using deformation gradient

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Embodiment Construction

[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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Abstract

The invention relates to a single-component and multi-component incompressible fluid simulation method by using a deformation gradient, which comprises the following steps: calculating the volume variation of single-component or multi-component particles by using the deformation gradient, establishing an equation of a fluid incompressible condition based on the deformation gradient, and solving by using a relaxed Jacobian iteration method. According to the method, the incompressible solution of the multi-component fluid is realized, the real simulation effect of the multi-component fluid is realized, an artistic control scheme is provided, and the simulation efficiency and effect of the single-component fluid are comparable to the effect of an advanced method in the current industry.

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, predecessors have long-term research. Borrowing from grid-based solvers for incompressible fluids, early methods such as S.J. Cummins and M. Rudman in "An sph projection [0004] In the article "Method", the incompressibility of the fluid is maintained by directly mapping the smooth particles to the discrete grid and solving the incompressibility condition. However, this method is sensitive to the sampling method and has poor ...

Claims

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Application Information

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Patent Type & Authority Applications(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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