水工学における自由表面解析の進歩

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  • スイコウガク ニ オケル ジユウ ヒョウメン カイセキ ノ シンポ
  • Development of free surface analysis in the field of hydraulics

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Numerical methods of unsteady free surface flow were developed in order to compute the exact shape of a free surface. Initially, the MAC (Marker-and-Cell) method, based on N-S equations and Rectangular Eulerian mesh, were used. However, results were unstable. Therefore, several modifications were developed. First, a line-segment approximation of a free surface and optimization of boundary conditions were modeled. Next, a volume-tracking model (e.g., the VOF method) was considered. Unfortunately, these models had some disadvantages. A third method was developed in order to overcome these weaknesses. This report describes the features of these models, the relationships between them, and also discusses developments in the field of hydraulics as regards free surface analysis.

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