Finite element implementation of a dynamic residual-based LES model

Abstract

We are introduced to a new dynamic model for k, the filtered fine-scale kinetic energy, in the context of the Residual-Based Variational Multiscale method (RBVMS) for Large Eddy Simulation (LES). We transform the strong form of the equation for k into its stabilized finite element form. With this result, we take strides toward implementing this model into PHASTA, an open source code for solving compressible and incompressible flows. Three test cases are conducted to verify the proper implementation of various components of the model. The results of these tests provide evidence to suggest that the current implementation of this new model into PHASTA is correct thus far. We conclude with a number of steps to take in the future to fully implement the model.