第一千一百一十章大海上的船，浪花，海浪
Ships, Splashes, and Waves on a Vast Ocean
摘要：
采用Navier-Stokes方程的均匀体积离散方法来模拟大型开放水面具有挑战性。模拟运动物体附近的水飞溅，水波的高度场方法无法捕获，需要高分辨率。这种模拟可以使用流体隐式粒子（FLIP）方法进行。然而，FLIP方法对于传播到长距离的持久水波是无效的，这需要足够的深度以获得正确的色散关系。本文提出了一种新的方法来解决这个难题，通过有效的混合体积和表面为基础的对流投影离散。针对不可压Euler方程，设计了一种结合FLIP域和自适应重网格边界元法（BEM）域的混合时间推进算法。由此产生的框架捕捉详细的水飞溅附近的FLIP方法移动的对象，并产生令人信服的水波与正确的色散关系，在适度的额外成本。
英文摘要：
The simulation of large open water surface is challenging using a uniform volumetric discretization of the Navier-Stokes equations. Simulating water splashes near moving objects, which height field methods for water waves cannot capture, necessitates high resolutions. Such simulations can be carried out using the Fluid-Implicit-Particle (FLIP) method. However, the FLIP method is not efficient for the long-lasting water waves that propagate to long distances, which require sufficient depth for a correct dispersion relationship. This paper presents a new method to tackle this dilemma through an efficient hybridization of volumetric and surface-based advection-projection discretizations. We design a hybrid time-stepping algorithm that combines a FLIP domain and an adaptively remeshed Boundary Element Method (BEM) domain for the incompressible Euler equations. The resulting framework captures the detailed water splashes near moving objects with the FLIP method, and produces convincing water waves with correct dispersion relationships at modest additional costs.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
