Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations

Rushi Cao,Ruyun Cao,Miaochao Chen

doi:10.1155/2021/5157197

Abstract

Simulation of water flow animation is a significant and challenging subject in computer graphics. With the continuous development of computational fluid dynamics and computer graphics, many more effective simulation methods have been developed, and fluid animation simulation has developed rapidly. In order to obtain realistic flow animation, one of the key aspects is to simulate flow motion. Based on the two-dimensional Navier-Stokes equations, a mathematical model is established to solve the boundary conditions required by the physical flow field of water. The coordinate transformation formula is introduced to transform the irregular physical area into a regular square calculation area, and then, the specific expressions of the liberalized Navier-Stokes equation, continuity equation, pressure Poisson equation, and dimensionless boundary conditions are given. Using animation software to sequence graphics and images of all kinds of control and direct operation of the relevant instructions, through the computer technology to simulate the flow of animation, based on the stability of fluid simulation method and simulation efficiency, so as to make realistic flow animation. The results show that FluidsNet has considerable performance in accelerating large scene animation simulation on the basis of ensuring the rationality of prediction, and the motion of water wave is realistic. The application of computer successfully simulates water flow.

Highlights

With the computational fluid mechanics, computer graphics, the continuous development of disciplines, and crossing each other, resulting in a much more effective simulation method, among them, the model based on computer simulation of fluid animation developed rapidly and has become a research hotspot in the field and become the current and future scientific solution and engineering which is an important direction of the development of the computer and visualization
The research of fluid animation simulation based on physical model needs the cross fusion of computational fluid dynamics and computer graphics, which can be divided into two types according to the different research background and content
A mathematical model based on two-dimensional NavierStokes equations is established to solve the boundary conditions required by the physical flow field of water

Summary

Introduction

With the computational fluid mechanics, computer graphics, the continuous development of disciplines, and crossing each other, resulting in a much more effective simulation method, among them, the model based on computer simulation of fluid animation developed rapidly and has become a research hotspot in the field and become the current and future scientific solution and engineering which is an important direction of the development of the computer and visualization. The demand for dynamic simulation of fluid, liquid, or gas movement in virtual reality system is gradually increasing, and the movement effect is very useful in simulation and training system, computer art, advertising, and network virtual environment [4] They can greatly improve the realism of virtual systems. It shows that the estimation of velocity and pressure is optimal, and numerical examples show that this method is globally optimal and convergent [10]

Computer Animation Production Method

Mathematical Models of Two-Dimensional Navier-Stokes Equations

F2 ðC3PX

V6elocity

Conclusion