Numerical simulation of immiscible fluids with FEM level set techniques [Elektronische Ressource] / von Shu-Ren Hysing

Numerical Simulation of Immiscible Fluidswith FEM Level Set TechniquesDissertationDoktors der NaturwissenschaftenDem Fachbereich Mathematik der Universit¨at Dortmundvorlegt am 2007 vonShu-Ren HysingAbstractHysing, S. 2007. Numerical simulation of immiscible fluids with FEM level settechniques. Doctoral dissertation.Multiphase flows, including free surface and two-phase flows, are commonlyencountered in many industrial applications. Effects of wave phenomena arefor example important when designing boats, drop formation is essential forink jet printers, and bubbles may come into play in chemical reactors and heatexchangers.Numericalsimulationofthese phenomenaisacomplexandchallengingtask.The desire to have both high accuracy and computational speed often standsin direct contradiction to each other. The aim of this thesis was to describe asuitable methodology with potential to be both very accurate and also efficient.High resolution benchmarks were also developed in order to validate and quan-tify the performance of a code (TP2D) developed according to the presentedapproach.The developed methodology combined a non-conforming finite element dis-cretizationwiththe levelsetmethodfortrackingthe interfaces. Asemi-implicitapproachtoimplementingsurfacetensionforceswasalsoderived,whichallowedfor significantly largertime steps in comparisonwith the traditionalexplicit ap-proach.