섬유

application of symbolic algebra to the generation of coordinate transformations

  • 출판일1999.03
  • 저자
  • 서지사항
  • 등록일 2016.11.02
  • 조회수 333
tools for automatic generation of generalized (variable and terrain-following) coordinate transformations are presented and the use of this technique in numerical models of atmospheric flows is explained. such a methodology should be competitive with the more commonly employed nested grid schemes. a symbolic (computer) algebra program for analytical calculation of christoffel symbols, metric tensor and other geometrical objects describing a transformation is discussed. an example related to numerical modeling of mesoscale flows is cited which shows how coupled terrain-following and stretching transformation can be easily created. a possible application of this methodology in numerical modeling of air pollution is cirrus clouds is briefly discussed. (edited author abstract) 14 refs
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