Craya-Herring Basis in Fluid Dynamics

This course covers the comprehensive understanding of the Craya-Herring Basis in fluid dynamics. It starts with the basic concept of Craya-Herring Basis, its advantages, and the construction of equations in 2D and 3D. The course further delves into the concept of helical basis, its construction, and its application in expressing incompressible flows. The course also provides a detailed explanation of converting equations in real space and calculating energy. The course then moves on to the Craya-Herring method and its application in deriving the equation of motion for a single triad, explaining the concepts of wave numbers, convolution, cross product, and dot product. The course concludes with the application of the Craya-Herring method to solve complex examples, providing a comprehensive understanding of the subject.