Hyperbolic Method to Explore Multiplicity Flow Solutions in a Four-Sided Lid-Driven Cavity

In this study, the hyperbolic method is adopted to explore flow field states of incompressible in a four-sided lid-driven square cavity. particular, we focus on bifurcation obtained at critical Reynolds number . method, diffusive term transformed into one by introducing diffusion flux term, which solution an additional equation. A classical Riemann-like solver with finite-volume discretization thus employed for full (split advective and parts), order solve steady-state Navier-Stokes The incompressibility treated via artificial pseudo-compressibility method. It shown that our numerical code able detect analysis residual relaxation during pseudo-time iteration procedure. Moreover, depending combination choice slope limiters two spatial directions, select first or second stable among double state when higher than value estimated be 129.4 study.