Presenting a novel higher-order bounded convection scheme for simulation of multiphase flows and convection heat transfer

The primary aim of the current study is to enhance stability and accuracy Volume-Of-Fluid (VOF) method for modeling free-surface flows with large topological changes high density ratio. For accurate capturing fluid interfaces, a novel higher-order bounded convection scheme first constructed based on total variation diminishing (TVD) concept then employed discretization terms in Navier-Stokes, energy transport equations. In second step, classical PISO algorithm modified according two-step projection (Chorin's model) combined model (PISOC) applied treatment pressure-velocity coupling. Moreover, second-order piecewise-linear interface reconstruction technique (PLIC-ELVIRA) used determining normal direction curvature interface. robustness proposed models handling multiphase rupture coalescence are verified against several experimental numerical benchmark solutions such as: dam break, Rayleigh-Taylor instability, bubble rising, rotation slotted disk (Zalesak's problem), deformation 2D pure step profile. results show that, third-order TVD flux-limiter can considerably reduce false-diffusion errors ensure boundedness volume fraction while retaining sharpness shape Furthermore, it found that PISOC has strong convergence characteristics strongly coupled problems less susceptible divergence when larger pressure under-relaxation factor used. performance effectiveness modifications further demonstrated by analyzing transient entropy generation due conjugate natural heat transfer two different canonical test cases (i.e. Differentially Heated Cavity Rayleigh-Bénard Convection) good agreements previously published works.