基于物理的波浪实时模拟方法

A method of real time wave simulation based on physical

为解决广域范围内波浪状态的实时计算和可视化问题,结合无粘滞流体力学的物理模型,提出了一种以三角形为控制单元的有限体积简化算法。该算法的优点在于:以不规则边界区域的非规则三角网格为基础,通过简化通量向量分裂方法获得三角形控制单元的边界数值通量,能快速逼近二维浅水方程的解进而模拟非规则边界浅水的实时流动。实验结果显示,所提方法能在符合现实世界物理规律的前提下较好地实现大规模波浪的实时可视化模拟。

In order to solve the real-time computation and visualization of the wave state in the wide area, by combining the physical model of non-viscous fluid dynamics, a simplified finite volume algo- rithm is proposed, which uses triangle as control unit. The advantage of the proposed algorithm is that. Based on irregular triangular mesh of irregular boundary area, the boundaries＇ numerical flux of triangles can be obtained by simplifying flux-vector splitting method. Then shallow water flow with irregular boundary can be real-time simulated by fast approaching the solution of the two-dimensional shallow wa- ter equations. Experimental results show that the real-time visual simulation of the wave can be better a- chieved by using this method in the physical laws of the real world under the premise.