A viscous fluid modeling method based on the approximate solution of sph method

Abstract

The invention is a viscous fluid modeling method for approximate solution based on the SPH method. This method firstly simplifies the N-S equation according to the characteristics of the particle system method; secondly, according to the simplified equation, a framework for simulating viscous fluid is constructed; then according to the simulation framework, various physical quantities are approximated based on the SPH method. The corresponding pressure term in the N-S equation is approximately solved by the pressure-density method, which solves the problem that the SPH method simulates viscous fluids subject to strict time step constraints; at the same time, it solves the phenomenon of particle clustering during fluid motion. Viscoelasticity of fluid motion is realized by constructing a spring model, that is, adding, modifying and deleting springs between adjacent particle pairs; and describing the effect of temperature on fluid viscosity by introducing the effect of temperature on the relative velocity of particles. Compared with the traditional method, the invention has simple calculation, can basically realize real-time simulation, and can more realistically simulate viscous fluid movement scenes.

Description

technical field [0001] The invention relates to the field of computer graphics, in particular to a viscous fluid modeling method for approximate solution based on the SPH method. Background technique [0002] The phenomenon of viscous fluid widely exists in nature, daily life, computer game animation and industrial production. For example, honey, lava, dirt, paint, wax, etc. Among the many methods of computer fluid simulation, physics-based fluid simulation uses fluid dynamics equations to describe the change of physical quantities such as velocity, pressure, and density inside the water body over time, so that the movement of viscous fluid can be truly presented. [0003] The most common method for computer simulation of viscous fluids is based on the famous Navier-Stokes equation (Reference 1: M. Griebel, T. Dornsheifer, T. Neunhoeffer. Numerical Simulation in FluidDynamics: A Practical Introduction [M]. SIAM : Society for Industrial and Applied Mathematics, 1997.), refe...

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Problems solved by technology

[0006] The purpose of the present invention is to overcome the shortcomings of the above-mentioned existing SPH-based methods that cannot realistically simulate viscous fluids, have strict time step constraints, and slow calculation speed caused by high numerical dissipation in calculations.

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