Tackling Compressible Turbulent Multi-Component Flows with Dynamic hp-Adaptation

TL;DR

This paper introduces an hp-adaptive hybrid DG/FV method for simulating complex compressible turbulent multi-component flows, effectively handling shocks, turbulence, and multi-species interactions with dynamic discretization switching.

Contribution

It extends existing hp-adaptive strategies to viscous multi-species flows with non-conforming interfaces, enabling flexible and accurate simulations of challenging compressible turbulence problems.

Findings

Validated against benchmark problems showing robustness and accuracy.

Demonstrated capability to handle shock-turbulence interactions.

Showcased application to hydrogen jet mixing in engineering scenarios.

Abstract

In this paper, we present an hp-adaptive hybrid Discontinuous Galerkin/Finite Volume method for simulating compressible, turbulent multi-component flows. Building on a previously established hp-adaptive strategy for hyperbolic gas- and droplet-dynamics problems, this study extends the hybrid DG/FV approach to viscous flows with multiple species and incorporates non-conforming interfaces, enabling enhanced flexibility in grid generation. A central contribution of this work lies in the computation of both convective and dissipative fluxes across non-conforming element interfaces of mixed discretizations. To achieve accurate shock localization and scale-resolving representation of turbulent structures, the operator dynamically switches between an h-refined FV sub-cell scheme and a p-adaptive DG method, based on an a priori modal solution analysis. The method is implemented in the high-order open-source framework FLEXI and validated against benchmark problems, including the supersonic Taylor-Green vortex and a triplepoint shock interaction, demonstrating its robustness and accuracy for under-resolved shock-turbulence interactions and compressible multi-species scenarios. Finally, the method's capabilities are showcased through an implicit large eddy simulation of an under-expanded hydrogen jet mixing with air, highlighting its potential for tackling challenging compressible multi-species flows in engineering.