Based On The Physical Model Of The Flow Animation Computer Simulation

The making of water animation is a very interesting and challenging problem in computer graphics. And the modeling behavior of water flow is one of the key aspects in water animation. A disturbance model is offered to simulate the generation of water waves with different kinds of shapes, and to enhance the realistic sense.In our approach, the water surface is regarded as a height field and the main body of water can be regarded as vertical columns. The motion of water flow can be described by the dynamics fluid equation, such as 2D Navier-Stokes equation.The motion of water waves can be simulated automatically by the using of physical model bf shallow water. And our demo nicely shows the motion of water waves: reflecting, intervening, circumambulating.To solve the Navier-Stokes equation, we discrete the water domain into triangular meshes and use a powerful numerical tool named Finite Volume Method. This solver is stable and fast. And it can deal with complicated boundary conditions. The water domain can be any single-continuous field, no matter whether it has holes or not.In the first part of this thesis, we discuss the challenges of the water simulation scenes and give a detailed survey of this subject. Then in the second part, we describe our work on water animation in details, namely the physical model of shallow-water, the numerical solution of the 2D Navier-Stokes equations using the Finite Volume Method, and the disturbance model which are used to control the behaviors of water waves.