Viscous incompressible fluid simulation method based on SPH

Abstract

The invention relates to a viscous incompressible fluid simulation method based on SPH. The method is a high-precision and high-robustness SPH-based viscous incompressible fluid simulation method, non-physical conflicts and drift errors generated in the solving process of the method are avoided through a unified solution scheme of incompressible constraints and viscous constraints, and the problemof surface particle missing is quickly and efficiently solved in a mode of not arranging Ghost particles. Newtonian fluid with different viscosity coefficient values and non-Newtonian fluid with variable viscosity coefficients can be stably simulated, the surface form of the viscous fluid can be kept for a long time, and multiple fine movement processes such as the stretching and thinning process, the rope coiling effect and the film form of the viscous fluid can be accurately simulated.

Description

technical field [0001] The invention belongs to the field of computer graphics, in particular to an SPH-based viscous incompressible fluid simulation method. Background technique [0002] In people's production and life, viscous fluids can be seen everywhere, such as petroleum, asphalt, honey, tomato paste, etc. Therefore, viscous fluids are important simulation objects in the field of graphics. Although the meshless particle method / smoothed particle hydrodynamics (SPH) method is a relatively mature and widely used fluid simulation method, it is still difficult to achieve stable, fast and accurate simulation of viscous fluid with this system method. Especially when simulating the characteristics of stretching and thinning of viscous fluids, simulating viscous fluids in the form of thin films, maintaining the surface morphology details of highly viscous fluids, and simulating non-Newtonian fluid materials with large-scale changes in viscosity coefficients, the traditional mes...

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Problems solved by technology

[0005] Aiming at the problem that the traditional gridless particle method is difficult to accurately and stably simulate the motion of viscous fluid, the present invention provides a fast simulation method for viscous fluid with high precision and high robustness

The invention avoids non-physical conflicts and drift errors in the solution process through a unified solution scheme of incompressible constraints and viscous constraints, and quickly and efficiently solves the problem of missing particles on the surface without laying Ghost particles, and at the same time considers the fluid in the stretching process The influence of negative pressure in the middle part finally realizes stable, accurate and fast simulation of Newtonian fluid and non-Newtonian fluid with different viscosity values

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