A hybridized discontinuous Galerkin method on mapped deforming domains

• Published in: Computers & fluids Vol. 139; no. C; pp. 80 - 91
• Main Author: Fidkowski, Krzysztof J.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 05.11.2016; Elsevier BV; Elsevier
• Subjects: Advection; Compressibility; Computer simulation; Convection; Convergence; Deformation; Deforming domains; Diffusion rate; Discretization; Economic models; Euler equations; Finite element method; Fluid dynamics; Fluid flow; Galerkin method; High order finite elements; Hybridized discontinuous Galerkin; Mapping; Mathematical analysis; Mesh motion; Navier-Stokes equations; Stabilization; Stokes law (fluid mechanics); Transformations (mathematics); Deforming domains; Hybridized discontinuous Galerkin; High order finite elements; Mesh motion

•Hybridized DG can be extended to ALE formulations.•The HDG gradient equation acquires a source term in the ALE mapping.•Least-squares solution initialization is required for optimal output error convergence rates.•Choice of HDG viscous stabilization is most important for diffusion-dominated flows.•...