Viscous fluid modeling method based on SPH method approximate solution

Abstract

The invention discloses a viscous fluid modeling method based on SPH method approximate solution. An N-S equation is firstly simplified according to the characteristics of a particle system method; then, according to the simplified equation, a framework for simulating a viscous fluid is built; and then, according to the simulation framework, each physical quantity is subjected to approximate solution based on an SPH method. a corresponding pressure term in the N-S equation is solved approximately through a pressure-density method, and the problem that strict time step constraints exist when the SPH method simulates the viscous fluid is solved; and besides, the phenomenon of particle clustering in a fluid motion process is solved. Through building a spring model, that is, adding, modifyingand deleting springs between adjacent particle pairs, viscoelasticity of the fluid motion is realized; and through influences on the relative velocity of particles by introduced temperature, influences on the fluid viscosity by the temperature are thus described. Compared with the traditional method, the method of the invention has the advantages that the calculation is simple; real-time simulation can be realized basically; and the viscous fluid motion scene can be simulated more vividly.

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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