A multiphase compressible model for the simulation of multiphase flows

Penalty and Eulerian–Lagrangian VOF methods for impact and solidification of metal droplets plasma spray process

“…The coupling between velocity and pressure is ensured with a compressible augmented Lagrangian method [16]. The augmented Lagrangian methods presented in this work are independent on the chosen discretization and can be implemented for example in a finite-element framework [42].…”

“…Multi-phase flows involving a carrier fluid and a liquid or a solid phase can be modeled by solving the compressible Navier-Stokes equations [16] together with a phase function C describing the particle phase shape evolutions through an advection equation on the corresponding phase function.…”

“…As explained by Kataoka [30] [31] [16], a resulting one-fluid model can be built that implicitly takes into account the jump relations at the interface [32] [33] including surface tension effects and also manages the fluid-fluid or fluid-solid interface evolutions in an Eulerian manner by solving additional 8 advection equations on the characteristic functions as follows:…”

“…Those models are based on a compressible augmented Lagrangian like formulation of the mass and momentum conservation equations [16] [17] [18], large eddy simulation modeling for turbulence [19] [20] [21] [22] and implicit interface curvature estimate for the surface tension and wetting effects [23]. By implicit interface curvature, it must be understood that no explicit geometric information on the interface position or topology is used, only the presence VOF function is utilized through its gradient.…”

Contributions to heat and mass transfer between a plasma jet and droplets in suspension plasma spraying

“…The compressibility of the plasma was taken into account with the equations exposed in [12]. A volume of fluid [13] piecewise linear interface calculation (VOF-PLIC) [14] method was utilized to follow the liquid phase.…”