Journal of Korean Society for Atmospheric Environment (한국대기환경학회지)

Korean Society for Atmospheric Environment (한국대기환경학회)
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Study on Numerical Simulation Using Body-fitted Corrdinate System for Complex Terrain

복잡 지표경계 영역에서 경계 일치 좌표계를 이용한 수치 시뮬레이션에 관한 연구

  • 홍정혜 (부산대학교 대기과학과)
  • Published : 2000.08.01
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Abstract

The three-dimensional new corrdinate system over a single hill double hills and complex terrain with a single hill and a rectangular obstacle was generated using a body-fitted coordinate system. Control of the coordinate line distribution in the field was executed by generalizing the elliptic generating system to Poisson equation. ▽2ξ=P. The new coordinate system was well fitted to the surface boundary of single hill and double hills. But in the case of complex terrain with hill and rectangular obstacle there was smoothing tendency around the rectangular obstacle. In order to show the validity of the body-fitted coordinate system the heat diffusion equation was transformed and the temperature distribution was calculated over the various terrain. The results showed the temperature distribution was very symmetrical and stable around hills and obstacle. As a result the couple of a body-fitted coordinate system and the heat diffusion equation were executed successfully. Wind field over complex terrain with hill and rectangular obstacle which represent urban area was simulated stably in body-fitted coordinate system. The qualitative result show the enhancement of wind speed at the upwind direction of a hill and a rectangular obstacle and the recirculation zone at the downwind direction.

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References

  1. 대기보전학회지 v.13 언덕지형을 지나는 유동의 수치 해석적 연구 김현구;이정묵;경남호
  2. 대기보전학회지 v.13 no.5 산지내 오염물질확산의 2차원 수치해석 김현구;이정묵
  3. 부산대학교 석사학위논문 지형성 강풍 현상에 대한 고찰 임상진
  4. 大阪大學工學部, 碩士論文 非靜水壓 モデルを 用ぃた 降雨現狀の數値 シミュレ-シヨン 神田秀明
  5. J. Comp. Phys. v.6 An optimal mesh generator for Lagrangian hydrodynamic calculations in two space dimensions Barfield, W.D.
  6. Mon. Weather Rev. v.106 On the use of hybrid vertical coordinates in numercal weather prediction models Bleck, R.
  7. Advanced Regional Prediction System User's Guide CAPS (Center for Analysis and Prediction of Storm)
  8. J. Comp. Phys. v.8 Development of a general finite difference approximation for a general domain Chu, W.H.
  9. J. Atmos. Sci. v.33 A solution for boundary problems in Isentropic coordinate model Deaven, D.G.
  10. Tensor Methods for Engineers Farrashkhalvat, M.;J.P. Miles
  11. Contrib. Atmos. Phys. v.50 A combination of isentropic and sigma coordinates in numerical weather prediction Friend, A.L.;D. Djurie;K.C. Brundidge
  12. J. Heat Transfer v.103 Numerical solution to a two-dimensional conduction problem using rectangular and cylindrical body-fitted coordinate systems Goldman, A.;Y.C. Kao
  13. Quart. J. Roy. Meteorol. Soc. v.101 Turbulent wind flow over a low hill Jackson, P.S.;J.C.R. Hunt
  14. Mon. Weather Rev. v.111 A comparison of methods for computing the sigma coordinate pressure gradient force for flow over sloped terrain in a hybrid theta-sigma model Johnson, D.R.;L.W. Uccellini
  15. Mon. Weather Rev. v.102 Various vertical coordinate systems used for numerical weather prediction Kasahara, A.
  16. M.S. Thesis, Texas Tech. Univ. Numerical solution of heat conduction problems using the body-fitteed coordinate technique Kao, Y.C.
  17. Quart. J. Roy. Meteorol. Soc. v.110 Atmospheric flow over a succession of nearly two-dimensional ridges and valleys Mason, P.J.;J.C. King
  18. Boundary Layer Climates Oke, T.R.
  19. J. Meteorol. v.14 A coordinate system having some special advantages for numerical forecasting Phillips, N.A.
  20. Mon. Weather Rev. v.91 General circulation experiments with the primitive equations Smagorinsky, J.
  21. GARP Report v.17 no.2 Vertical coordinates and related discretization, Numerical Methods Used in Atmospheric Models Sundquist, H.
  22. Boundary-Layer Meteorol. v.26 A simple model of neutrally stratified boundary-layer flow over real terrain incorporating wavenumber-dependent scaling Taylor, P.A.;J.L. Walmsley;J.R. Salmon
  23. Boundary-Layer meteorology. v.39 Boundary-Layer flow over low hills Taylor, P.A.;P.J. Mason;E. F. Bradley
  24. Numerical Grid Generation Thompson, J.F.;Z.U.A. Warsi;C.W. Mastin
  25. NASA CR-2729 Boundary-fitted Curvilinear Coordinate Systems for Solution of Partical Differential Equations on Fields Containing Any Number of Arbitrary Two-dimensional Bodies Thompson, J.F.;F.C. Thames;C.W. Mastin
  26. J. Atmos. Sci. v.36 An isentropic and sigma coordinate hybrid numerical model: Model development and some initial tests Uccellini, L.W.;D.R. Johnson;R.E. Schlesinger
  27. Proc. European Wind Energy Conference and Exhibition A boundary-layer model for wind flow over hills: Comparison of model results with Askervein '83 Data Walmsley, J.L.;J.R. Salmon
  28. J. Comp. Phys. v.2 Numerical solution of the quasi-linear Poisson equation in a non-uniform triangular mesh Winslow, A.M.