Numerical Simulation of Unsteady Nonisothermal Capillary Interfaces

A family of algorithms for simulation of unsteady nonisothermal capillary interfaces has been developed. The algorithms are based on a coordinate transformation method. The time-dependent unknown physical domain is mapped onto a rectangular computational domain, with the explicit form of the mapping function not being known. Four types of temporal discretization are used leading to the first-order accurate one-step implicit method, second-order …