In the present paper, we investigate a new homogeneous relaxation model describing behaviour of two-phase fluid flow in low Mach number regime, which can be obtained as approximation well-known HRM. For this specific model, derive an equation state to describe thermodynamics fluid. We prove some theoretical properties satisfied by solutions and provide well-balanced scheme. To go further, insta...

In this study, turbulent compressible gas flow in a rectangular micro-channel is numerically investigated. The gas flow assumed to be in the subsonic regime up to Mach number about 0.7. Five low and high Reynolds number RANS turbulence models are used for modeling the turbulent flow. Two types of mesh are generated depending on the employed turbulence model. The computations are performed for R...

A preconditioned five-equation two-phase model coupled with an interface sharpening technique is introduced for simulation of a wide range of multiphase flows with both high and low Mach regimes. Harten-Lax-van Leer-Contact (HLLC) Riemann solver is implemented for solving the discretized equations while tangent of hyperbola for interface capturing (THINC) interface sharpening method is applied ...

Abstract In the realm of compressible viscous flow modelling, we briefly revisit debate on a possible inconsistency Navier-Stokes (NS) equations. Then, recall recent proposal from literature, put forward by M. Svärd. One its features is mass diffusive term in continuity equation. The presence density diffusion Svärd model reduces dispersive numerical errors when simple centred 2nd order, free, ...