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.
CITATION STYLE
Massa, F. C., Bassi, F., Botti, L., & Colombo, A. (2020). An Implicit High-Order Discontinuous Galerkin Approach for Variable Density Incompressible Flows. In Fluid Mechanics and its Applications (Vol. 121, pp. 191–202). Springer. https://doi.org/10.1007/978-3-030-33338-6_15
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