演講公告

新聞標題：　( 2008-10-08 )

• 演講主題：An Efficient Moving Mesh Method with Application to Two Phase Flows

• 主講人：Dr. Ruo Li(Department of Scientific & Engineering Computing, School of Mathematical Sciences, Peking University)

• 演講日期：97年9月5日(星期五)<br>上午10:00

• 演講地點：(光復校區)科學一館307室

• 摘要內容：
  

  In this talk, an adaptive moving mesh algorithm for meshes of unstructured triangles(2D) and tetrahedrons(3D) will be presented. The algorithm automatically adjusts the size of the elements with time and position in the physical domain to resolve the relevant scales in multiscale physical systems while minimizing computational costs. The algorithm is a generalization of the moving mesh methods based on harmonic mappings developed by Li et al. [J. Comput. Phys., 170(2001), pp. 562-588, and 177 (2002), pp. 365-393]. To make 3D moving mesh simulations possible, the key is to develop an efficient mesh redistribution procedure so that this part will cost as little as possible comparing with the solution evolution part. Since the mesh redistribution procedure normally requires to solve large size matrix equations, we will describe a procedure to decouple the matrix equation to a much simpler block-tridiagonal type which can be efficiently solved by a particularly designed multi-grid method.
  To demonstrate the performance of the proposed 3D moving mesh strategy, the algorithm is implemented in finite element simulations of fluid-fluid interface interactions in multiphase flows. To demonstrate the main ideas, we consider the formation of drops by using an energetic variational phase field model which describes the motion of mixtures of two incompressible fluids. Numerical results on two- and three-dimensional simulations will be presented.

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