Transactions of the Japan Society of Mechanical Engineers Series B
Online ISSN : 1884-8346
Print ISSN : 0387-5016
An Iterative Finite-Volume Method on an Unstructured Moving Grid
3rd Report, Unstructured Adaptive Mesh Refinement Method for Unsteady Problems
Masashi YAMAKAWAKenichi MATSUNO
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2005 Volume 71 Issue 712 Pages 2837-2842

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Abstract

A new adaptive mesh refinement method for unsteady compressible flow is presented in this paper. For unsteady flow problem, the solution-adapted grid is also dynamically changing its shape at every time step according to the flow change since the flow is non-stationary. For the present solution-adapted grid method, two grid cells are merged into one grid cell and one grid cell is divided into two grid cells according to a criterion of grid adaption in a time-dependent way in unstructured grid system. In this case, it is important to assure geometric conservation low as well as physical conservation low on such the grid system. Therefore, we adopt a finite volume method in which a control volume on the space-time unified domain for estimating numerical flux. The method is described and applied for two-dimensional unsteady compressible flows.

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