Spectral Element Method Discontinuity Control through Accuracy Preserving Filtering and Data Driven Methods
DescriptionThe Spectral Element Method (SEM), a high order variant of the Finite element method, is an attractive and often used approach to solve partial differential equations such as the Navier Stokes Equations, given that it provides high accuracy solutions with a relatively smaller number of grid points compared to other types of methods. In the study of turbulence, discretizations that solve the smallest eddies in the flow must be employed in order to perform so called Direct Numerical Simulations (DNS), usually with the aim to understand the underlying physics of a particular flow case. The basis of SEM, however, is that while it ensures fields to be continuous across elements, the same is not so for the derivatives, an inconvenience that can make itself known when analysing statistics of turbulent flow fields even in fully resolved configurations. The aim of this work is to explore methods that can alleviate discontinuities present in statistics of quantities obtained from derivatives of turbulent flow field data, ranging from accuracy preserving filters to forcing terms that alleviate such phenomenon.
TimeTuesday, June 2716:00 - 16:30 CEST