POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver

Abstract

The purpose of this work is to introduce a novel POD-Galerkin strategy for the hybrid finite volume/finite element solver introduced in Bermúdez et al. 2014 and Busto et al. 2018. The interest is into the incompressible Navier-Stokes equations coupled with an additional transport equation. The full order model employed in this article makes use of staggered meshes. This feature will be conveyed to the reduced order model leading to the definition of reduced basis spaces in both meshes. The reduced order model presented herein accounts for velocity, pressure, and a transport-related variable. The pressure term at both the full order and the reduced order level is reconstructed making use of a projection method. More precisely, a Poisson equation for pressure is considered within the reduced order model. Results are verified against three-dimensional manufactured test cases. Moreover a modified version of the classical cavity test benchmark including the transport of a species is analysed.

References in corpus (7)

• The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
• Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
• Pod-Galerkin Reduced Order Methods for CFD Using Finite Volume Discretisation: Vortex Shedding Around a Circular Cylinder
• A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers
• On a certified Smagorinsky reduced basis turbulence model
• A projection hybrid high order finite volume/finite element method for incompressible turbulent flows
• Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations

Cited by in corpus (6)

• Data-Driven POD-Galerkin Reduced Order Model for Turbulent Flows
• A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
• A semi-implicit hybrid finite volume / finite element scheme for all Mach number flows on staggered unstructured meshes
• Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
• A novel structure preserving semi-implicit finite volume method for viscous and resistive magnetohydrodynamics
• A POD-Galerkin reduced order model of a turbulent convective buoyant flow of sodium over a backward-facing step