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.File | Dimensione del file | Formato | |
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MASSA, BASSI, BOTTI, COLOMBO (2020) - An Implicit High-Order Discontinuous Galerkin Approach for Variable Density Incompressible Flows.pdf
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