Numerical Simulation of Multi-Material Flows and Turbulent Mixing with High Order Eulerian Methods

Compressible multi-material flows and turbulent mixing can be found in many engineering and nature science fields, such as inertia confined fusion (ICF), astrophysics and so on. In this work, a high order multi-physics code, CFD² (Code of Finite Difference for Compressible Flow Dynamics), was developed for the simulation of compressible multi-material flows under extreme conditions. The code solves the equations of multidimensional hydrodynamics with high order accuracy in space and time, including a series of high order difference schemes, such as WENO, MP, GVC and WCNS schemes based on flux splitting techniques. The CFD² code is implemented on non-uniform mesh and can simulate flow problems with billion mesh cells on thousands CPU cores with MPI parallelization. The code can simulate multi-physics flow problems, such as detonation, radiation, and so on. Some recent progress on high order schemes has been integrated into the code in order to prevent the non-physical oscillations near material interfaces. A series of typical model problems have been simulated to validate the code. Moreover, turbulent mixing induced by RM and RT instability was simulated systematically to study the turbulent mixing mechanism.