High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers

This article aims at developing a high order pressure-based solver for the solution of 3D compressible Navier-Stokes system all Mach numbers. We propose cell-centered discretization governing equations that splits fluxes into fast and slow scale part, are treated implicitly explicitly, respectively. A novel semi-implicit is proposed kinetic energy as well enthalpy in equation, hence avoiding any need iterative solvers. The implicit yields an elliptic equation on pressure can be solved both ideal gas general state (EOS). nested Newton method used to solve mildly nonlinear case EOS. High time granted by implicit-explicit (IMEX) stepping, whereas CWENO technique efficiently implemented dimension-by-dimension manner developed achieving space explicit convective viscous fluxes. quadrature-free finite volume then derived approximation numerical Central schemes with no dissipation suitable accuracy finally employed terms. Consequently, CFL-type stability condition maximum admissible step based only fluid velocity not sound speed, so work uniformly Convergence robustness assessed through wide set benchmark problems involving low number regimes, inviscid flows.