Numerical Simulation of Unsteady Nonisothermal Capillary Interfaces

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Original languageEnglish
Pages (from-to)110-140
Journal / PublicationJournal of Computational Physics
Issue number1
Publication statusPublished - 1 Sept 1998
Externally publishedYes


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 accurate Crank-Nicolson and trapezoidal methods and second-order accurate two-step implicit method. In all cases, second-order finite-difference approximations were used for spatial discretizations. Various tests demonstrated that the algorithms deliver theoretically predicted accuracy, even for very large interfacial distortions. The Crank-Nicolson and trapezoidal methods have been found to be conditionally stable and thus are not recommended. © 1998 Academic Press.

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