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원통좌표계에서 반경지수도식에 의한 이산화방법

A Discretization Method Via a Radial-Exponential Scheme in the Cylindrical Coordinate

  • 김찬중 (서울대학교 기계항공공학부)
  • 발행 : 2000.05.01

초록

In the cylindrical coordinate, the origin r = 0 plays a role of the singularity and thus much care is needed to treat near-origin region. This work presents a new numerical scheme which is derived from the exact solution under the one-dimensional assumption in the radial direction. It is shown that the near-origin region can be properly treated by the radial-exponential scheme, whereas the numerical results from the conventional exponential scheme deviate considerably from the exact solution. Over the region of small ($ {\delta}r_e/r_e$ the present radial-exponential scheme turns out to be almost the same as the exponential scheme.

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참고문헌

  1. Spalding, D. B. 1972, 'A Novel Finite-Difference Fromuation for Differential Expression Involving Both First and Second Derivatives,' Int. J. Numer. Methods Eng., Vol. 4, p. 551 https://doi.org/10.1002/nme.1620040409
  2. Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York
  3. 김찬중, 1998, '길잡이 전산유체역학,' 문운당