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

这项发现拨款的目标是：a)推进用于向湍流区域过渡的不可压缩流动的直接数值模拟的自适应高阶谱不连续Galerkin方法的最先进水平；b)使用高阶方法来发现复杂几何形状的过渡过程中的新机制，并在可能的情况下发现实际应用，如庞巴迪航空航天的层流变形翼；c)推进血液粘度建模和现实微循环几何中的血液流动建模的最先进水平；以及d)开发一种用于研究和教学目的的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.