An Overset Mesh Framework for an Isentropic ALE Navier-Stokes HDG Formulation

Published: January 06, 2019

Author(s)

Justin A. Kauffman, William L. George, Jonathan S. Pitt

Abstract

Fluid-structure interaction simulations where solid bodies undergo large deformations require special handling of the mesh motion for Arbitrarily Lagrangian-Eulerian (ALE) formulations. Such formulations are necessary when body-fitted meshes with certain characteristics, such as boundary layer resolution, are required to properly resolve the problem. We present an overset mesh method to accommodate such problems in which flexible bodies undergo large deformations, or where rigid translation modes of motion occur. To accommodate these motions of the bodies through the computational domain, an overset mesh enabled ALE formulation for fluid flow is discretized with the hybridizable discontinuous Galerkin (HDG) finite element method. The overset mesh framework applied to the HDG method enables the deforming and translating dynamic meshes to maintain quality without remeshing. Verification is performed to demonstrate optimal order convergence O(k+1) is obtained for arbitrary overlap and approximation order k.
Conference Dates: January 6-11, 2019
Conference Location: San Diego, CA
Conference Title: AIAA-Scitech 2019
Pub Type: Conferences

Keywords

Overset Mesh Method, Hybrdizable Discontinuous Galerkin, HDG, ALE
Created January 06, 2019, Updated June 05, 2019