Numerical Analysis And Scientific Computing

数值模拟是获得真实天气和气候模拟的关键。在这个项目中，Bihlo博士将开发特别适合长期模拟的新型数值方法，例如气候预测。这将通过使用描述大气-海洋系统的方程的几何特性，如对称性和守恒定律，作为设计这些数值方法的指导原则来完成。Bihlo博士将展示地球物理流体动力学中几个重要模型的这一过程，这些模型通常被用作开发该领域新数值方法的基准。

Numerical simulations are crucial for obtaining realistic weather and climate simulations. In this project, Dr. Bihlo will develop new classes of numerical methods that are particularly suitable for long-term simulations, which are required for example in climate prediction. This will be accomplished by using the geometric properties of the equations describing the atmosphere-ocean system, such as symmetries and conservation laws, as guiding principle for designing these numerical methods. Dr. Bihlo will showcase this procedure for several important models from geophysical fluid dynamics, that are routinely used as benchmarks for developing new numerical methodologies in this field.