Fundamental Areas / Numerical Analysis of Partial Differential Equations
This video illustrates the vorticity of the double shear layer problem, obtained from a velocity-pressure formulation of the unsteady state Euler equation. The initial flow field consists of a horizontal shear layer of finite thickness, perturbed by a small amplitude vertical velocity. The numerical method employed is a new discontinuous Galerkin scheme using a post-processing idea and an upwind flux, which is locally conservative and L^2 stable. More details can be found in:
Guzman, J., Sequeira, F. and Shu, C.-W.: H(div) conforming and DG methods for the incompressible Euler equations. Preprint 2015-19, Centro de Investigacion en Ingenieria Matematica (CI²MA), Universidad de Concepcion, (2015).