Many methods are available for the solution of radiative heat transfer problems in
participating media. Among these, the discrete ordinates method (DOM) and the finite …

This paper presents an extensive review of most of the existing TVD schemes found in
literature that are based on the One-step Time–space-coupled Unsteady TVD criterion (OTU …

The conservative level-set method for capturing the interface between two fluids is combined
with a variable density projection scheme to simulate incompressible two-phase flows on …

A numerical scheme is presented for accurate simulation of fluid flow using the lattice
Boltzmann equation (LBE) on unstructured mesh. A finite volume approach is adopted to …

A level-set model is presented for simulating mass transfer or heat transfer in two-phase
flows. The Navier-Stokes equations and mass transfer (or heat transfer) equation are …

This paper presents a level set re-distancing (NLS) method to better preserve mass
conservation and more accurately predict interface evolution in the simulation of …

A new level-set model is proposed for simulating immiscible thermocapillary flows with
variable fluid-property ratios at dynamically deformable interfaces. The Navier–Stokes …

Total variation diminishing (TVD) schemes are a widely applied group of monotonicity-
preserving advection differencing schemes for partial differential equations in numerical …

The requirements for flux limiter functions preserving total variation diminishing (TVD) are
derived based on a 1D nonuniform grid, and a new TVD region is determined to fit arbitrary …

This paper presents a high-resolution numerical method for solving mass transport problems
involving advection and anisotropic diffusion in shallow water based on unstructured mesh …