In this work we present a high-order discontinuous Galerkin approach for the simulation of variable density incompressible (VDI) flows. Here, the density is treated as a purely advected property tracking possibly multiple (more than two) components, while the fluids interface is captured in a diffuse fashion by the high-degree polynomial solution thus not requiring any geometrical reconstruction. Specific care is devoted to deal with density over/undershoots, spurious oscillations at flows interfaces and Godunov numerical fluxes at inter-element boundaries. Time integration is performed with high-order implicit schemes thus preventing any time step restriction condition. Promising results with high-degree polynomial representation and relatively coarse meshes are achieved on numerical experiments involving high-density ratios (water–air) and the possible interaction of more than two components.

(2020). An Implicit High-Order Discontinuous Galerkin Approach for Variable Density Incompressible Flows . Retrieved from http://hdl.handle.net/10446/158106

An Implicit High-Order Discontinuous Galerkin Approach for Variable Density Incompressible Flows

Massa, Francesco Carlo;Bassi, Francesco;Botti, Lorenzo Alessio;Colombo, Alessandro
2020-01-01

Abstract

In this work we present a high-order discontinuous Galerkin approach for the simulation of variable density incompressible (VDI) flows. Here, the density is treated as a purely advected property tracking possibly multiple (more than two) components, while the fluids interface is captured in a diffuse fashion by the high-degree polynomial solution thus not requiring any geometrical reconstruction. Specific care is devoted to deal with density over/undershoots, spurious oscillations at flows interfaces and Godunov numerical fluxes at inter-element boundaries. Time integration is performed with high-order implicit schemes thus preventing any time step restriction condition. Promising results with high-degree polynomial representation and relatively coarse meshes are achieved on numerical experiments involving high-density ratios (water–air) and the possible interaction of more than two components.
2020
Massa, Francesco Carlo; Bassi, Francesco; Botti, Lorenzo Alessio; Colombo, Alessandro
File allegato/i alla scheda:
File Dimensione del file Formato  
MASSA, BASSI, BOTTI, COLOMBO (2020) - An Implicit High-Order Discontinuous Galerkin Approach for Variable Density Incompressible Flows.pdf

Solo gestori di archivio

Versione: publisher's version - versione editoriale
Licenza: Licenza default Aisberg
Dimensione del file 1.81 MB
Formato Adobe PDF
1.81 MB Adobe PDF   Visualizza/Apri
Pubblicazioni consigliate

Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/158106
Citazioni
  • Scopus 4
  • ???jsp.display-item.citation.isi??? ND
social impact