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Invited Paper Boundary Element Analyses Of Moving Boundary Problems In Laplacian Growth


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N. Tosaka & R. Sugino


Invited Paper Boundary element analyses of moving boundary problems in Laplacian growth N. Tosaka", R. Sugino^ ^Department of Mathematical Engineering, College of Industrial Technology, Nihon University, Narashino, Chiba, 275, Japan ^Department of Mechanical Engineering, Kisarazu National College of Technology, Kisarazu, Chiba, 292, Japan ABSTRACT In this paper applicability of BEM to various kinds of moving bound- ary problems in natural science and engineering is discussed. Especially, Laplacian growth phenomena are considered in detail. The problems to be discussed are crystal growth and Hele-Shaw flow in Laplacian growth phenomena. Pattern formations in ice crystal growing and viscous finger- ing from small initial disturbance in a rectangular region are analyzed by the solution procedure. Splitting, shielding and spreading phenomena in pattern formation are shown numerically. INTRODUCTION There exists a large class of problems with movement of interface