Proposal of a coordinate transformation method for Navier-Stokes equation and coordinate transformation program (2)

DOI IR

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Other Title
  • Navier-Stokes方程式の一般化座標系への座標変換手法と座標変換プログラムの提案(2)

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The objectives of the present study are to improve coordinate transformation method for gravity term in Navier-Stokes equation and to disclose coordinate transformation program based on tensor analysis． Coordinate transformation is the effective tool for theoretical and numerical analysis from the perspective that analysis of physical phenomena on appropriate coordinate system makes its essential physical mechanism intelligible and makes treatment of boundary condition simple. However coordinate transformation accompany with a number of complex, difficult and time-consuming calculations. Traditional coordinate transformation method of gravity terms especially requires complicated calculation procedure. This study improves coordinate transformation idea by putting concept of gravity potential in use and makes its calculation much easier. In addition, whole coordinate transformation procedures of Navier-Stokes equation are programmed based on tensor analysis and this makes it possible to calculate a lot of coordinate transformation computation instantly.

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