A finite-difference algorithm for multiple moving boundary problems using real and virtual grid networks

摘要: Abstract Most numerical methods developed for moving boundary or Stefan problems deal with the case of a single (MB) separating two different media. Although this is applicable to large number engineering problems, there are many where more than one MB exists simultaneously during process. A heat transfer process involving heating solid, melting, and partial vaporisation liquid can be considered as three-phase problem, time appearance disappearance phases determined part solution. An explicit unconditionally stable scheme such presented tested herein. The approach originates from variable step (EVTS) method, by same authors, problems. During stage, MBs exist simultaneously, method uses virtual distorted grid network in parallel vapour/liquid interface order determine its position vis-a-vis real network. has been solving both collapse an adiabatic wall normalised two-MB problem whose exact solution known.