Direct Flux Reconstruction for Accurate Resolution of Complex Flow Structures

Predominant solvers for fluid dynamics simulations rely on second-order discretization using finite volume or finite difference schemes. These methods are robust and reliable for steady flows but suffer in simulating turbulent, unsteady flows for which second-order discretization is insufficient. There is growing interest in higher-order schemes for simulating such flows. One such novel high-order scheme is the Direct Flux Reconstruction (DFR). DFR predicates solving the strong form of the governing equation. Using the in-house solver developed using the DFR approach, validated using Sod’s shock tube case, we solve problems involving complex flow structures. These include shock–vortex interaction, Rayleigh–Taylor instability, and Kelvin–Helmholtz instability.