Numerical Simulation of Unsteady Nonisothermal Capillary Interfaces

✍ Scribed by M.S. Hamed; J.M. Floryan

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 509 KB
• Volume: 145
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1998.6023

✦ Synopsis

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 firstorder 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.