Lagrangian Fluid Motion Simulation Using Smoothed Particle Hydrodynamics

Computational fluid dynamics is a hot topic in Computer Graphics. The capability to reproduce realistic fluids numerically has gained an increased interest the last decade. Grid-based methods have been favored the most to solve the mathematical equations for fluid flow, but often they lack the ability to create interactive fluid simulations together with detailed fluid surfaces. Interactive fluid dynamics is of essential interest in real-time applications, such as computer games or virtual surgery simulators. Smoothed Particle Hydrodynamics(SPH) method belongs to particle method which is has no grid.The advantages of SPH are as follows: simulating liquid convection by particles directly to eliminate numerical fluctuation at free interface; grids unnecessary avoid grid distortion and reconstruction; simulating the fluid problem of significant transformation, especially in dealing the problems such as maximum distortion, the interface of motion material, the deformation boundary and free surface flow. Based on the advantages above, Smoothed Particle Hydrodynamics (SPH) method is a numerical simulation method with great potential, which got a lot of attention from the academia recently. This paper mainly uses Smoothed Particle Hydrodynamics(SPH) method to simulate fluid motion. The concrete structure of the thesis is as follows:(1)Introduces the basic concepts of the Smoothed Particle Hydrodynamics (SPH) method, the basic idea and the basic equation.(2)Elaborate some of the properties of the Lagrangian fluid dynamics, such as density, internal forces, external forces, and collision processing and numerical time integration method.(3)The application of rapid neighboring particle search method, set the number of Department of Physics, as well as the presentation and rendering of fluid material, and finally use the Lagrangian method SPH system initialization and calculate the fluid density, pressure, internal forces and external forces, define the time integration and collision handling.(4)The results of the experiment, analysis of fluid properties.