High Order Methods for Direct Numerical Simulation of Incompressible Flows and Applications to Transition to Turbulence

该发现基金的目标是：A）推进自适应高阶谱间断Galerkin方法的最新技术，用于不可压缩流向湍流过渡的直接数值模拟; B）使用高阶方法发现复杂几何形状过渡过程中的新机制，并在可能的情况下，发现实际应用，如庞巴迪航空航天公司的层流变形机翼; C）推进血液粘度建模和结合红细胞聚集效应的现实微循环几何形状中的血流建模的最新技术水平;以及D）开发用于研究和教育目的的3D打印复杂层流和过渡流结构的方法。

The objectives of this Discovery Grant are: A) to advance the state of the art of adaptive high order spectral Discontinuous Galerkin methods for the Direct Numerical Simulation of incompressible flows in the transition to turbulence regime; B) to use high order methods to discover new mechanisms in the transition process for complex geometries and, where possible, practical applications such as a laminar morphing wing of Bombardier Aerospace; C) to advance the state of the art in blood viscosity modeling and modeling of blood flow in realistic microcirculation geometries incorporating the effect of Red Blood Cell aggregation; and D) to develop a methodology to 3D print complex laminar and transitional flow structures for research and educational purposes.