STUDY OF CRYSTAL GROWTH AND SOLUTE PRECIPITATION THROUGH FRONT TRACKING METHOD

(整期优先)网络出版时间:2010-02-12
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CrystalgrowthandsoluteprecipitationisaStefanproblem.Itisafreeboundaryproblemforaparabolicpartialdifferentialequationwithatime-dependentphaseinterface.Thevelocityofthemovinginterfacebetweensoluteandcrystalisalocalfunction.Thedendriticstructureofthecrystalinterface,whichdevelopsdynamically,requireshighresolutionoftheinterfacegeometry.ThesefactsmaketheLagrangianfronttrackingmethodwellsuitedfortheproblem.Inthispaper,weintroduceanupgradedversionofthefronttrackingcodeanditsassociatedalgorithmsforthenumericalstudyofcrystalformation.Wecompareourresultswiththesmoothedparticlehydrodynamicsmethod(SPH)intermsofthecrystalfractaldimensionwithitsdependenceontheDamkohlernumberanddensityratio.