In this paper we present a hybridized discontinuous Galerkin (HDG) discretization for unsteady simulations of convection-dominated flows on mapped deforming domains. Mesh deformation is achieved through an arbitrary Lagrangian-Eulerian transformation with an analytical mapping. We present details of this transformation applied to the HDG system of equations, with focus on the auxiliary gradient...

Subject: The aim of mesh adaptation is to generate automatically the best mesh to perform a specific numerical simulation [1]. It results in a powerful methodology that reduces significantly the size of the mesh required to reach the desired accuracy. Thus, it impacts favorably the simulation CPU time and memory requirement. Moreover, as the generated adapted mesh is in agreement with the physi...

Abstract Direct numerical simulations (DNS) are performed of a cantilevered stator blade to identify the unsteady and turbulent flow structure within compressor tip flows. The were with clearances 1.6% 3.2% chord. results show that both gap at exit on suction side highly phenomena controlled by fine-scale structures. signature classical tip-leakage vortex is consequence time-averaging does not ...

The recent gain of interest in Discontinuous Galerkin (DG) methods shows their success in computational fluid dynamics. However, in the case of an implicit discretization, one potential drawback is the high number of globally coupled unknowns. By means of hybridization, this number can be significantly reduced. The hybridized DG (HDG) method has proven to be beneficial especially for steady flo...