Spectral Methods for Incompressible Fluid Flows

Catalog description

An introduction to the fundamental building blocks of flow solvers for the simulation of incompressible flow processes in the natural environment. High-order accuracy element-based spatial discretization methods (spectral element and discontinuous Galerkin) are covered along with high-accuracy time-advancement methods. Initially applied to fundamental linear problems, these methods are then implemented in the context of the Burgers equation with a focus on aliasing effects and spectral filtering. The course concludes with a presentation of the fundamentals of non-hydrostatic environmental flow modeling.