Numerical algorithms for higher-order accurate discretizations of flows on deforming domains

加拿大是世界上最大的水力和风能生产国之一。优化设计的海洋和风力涡轮机叶片可以进一步增加这些可再生能源的产量。在过去的一个世纪里，加拿大发生了200多次洪水，夺去了许多人的生命，造成了数十亿美元的损失。当河流泛滥时，对洪泛平原的准确预测可能会防止生命损失，并有助于保护加拿大的家庭和企业。这只是从计算机模拟工具中获益巨大的两个应用程序。然而，这些仿真工具的成功与否取决于所实现的算法。在这个项目中，我们将为更有效和更准确的仿真工具开发新的算法。

Canada is one of the largest producers of hydro and wind energy in the world. Optimally designed marine and wind turbine blades can further increase the production of these sources of renewable energy. More than two hundred floods have occurred in Canada over the past century taking many lives and causing billions of dollars in damage. An accurate prediction of flood plains when rivers overflow may prevent the loss of lives and help protect Canadian homes and businesses. These are just two applications that benefit tremendously from computer simulation tools. The success of these simulation tools, however, depends on the implemented algorithms. In this project we will develop new algorithms for more efficient and more accurate simulation tools.