POD-(H)DG Method for Incompressible Flow Simulations
Numerical Analysis
2020-04-21 v1 Numerical Analysis
Abstract
We present a reduced order method (ROM) based on proper orthogonal decomposition (POD) for the viscous Burgers' equation and the incompressible Navier-Stokes equations discretized using an implicit-explicit hybrid discontinuous Galerkin/discoutinuous Galerkin (IMEX HDG/DG) scheme. A novel closure model, which can be easily computed offline, is introduced. Numerical results are presented to test the proposed POD model and the closure model.
Cite
@article{arxiv.2004.08411,
title = {POD-(H)DG Method for Incompressible Flow Simulations},
author = {Guosheng Fu and Zhu Wang},
journal= {arXiv preprint arXiv:2004.08411},
year = {2020}
}
Comments
19 pages