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Conduction Simulation and Computational Resources

¥»½Òµ{±N§Q¥Î¤@¶gªº®É¶¡°Q½×¼ö¶Ç¾Éªº¼Æ­È¼ÒÀÀ¡C¼Æ­È¼ÒÀÀ©Ò»Ýªº³nÅ鬰MATLAB's PDEToolbox®¡A³o­Ó³nÅé¨ã¦³¨Ï¥ÎªÌ¹Ï§Î¤¶­±¡A¦P®É¯à³B²z¤Gºû¼ÈºAªº°¾·L¤À¤èµ{¦¡ªº¦³­­¤¸¯À¤ÀªR¡C³o¸Ì±j½Õªº¬O¼ÒÀÀ½ÆÂø´X¦ó§Îª¬¨ã¦³½ÆÂøÃä¬É±ø¥óªºª«Å餤ªº¼ö¬y¡A¦Ó¤£¬O¤@¯ëªº¼Æ­È¤èªk¡C
The course will spend a week or so on numerical simulation of heat-conduction. The simulation software to be used is MATLAB's PDEToolbox®, which has a graphical-user-interface and performs finite-element analysis of two-dimensional time-dependent partial differential equations. The emphasis will be on modelling heat flow in complex geometries or with complex boundary conditions, rather than on numerical methods per se.

³o¸Ì¬O PDETool§Ö³t«ü¤Þ ªº¶W³sµ²
The next link is to a quick orientation guide to PDETool.

¨ä¥L¦³¥Îªº¤u¨ã¥]¬AMaple, Xess, AutoCAD, and Pro/ENGINEER ³nÅé¡C§Ú­Ì«D±`¹ªÀy§A§Q¥Î³o¨Ç¤u¨ã¨Ó¸Ñ¨M®a®x§@·~ªº°ÝÃD¡C¦b«Øºc§Aªº¼Æ­Èµ²ªG®É¡A½Ð½T¹ê¤F¸Ñ§A°²³]ªº¼Ò«¬¡A¼ÒÀÀªº¨BÆJ¡A¥H¤Îª«²z©Ê½èªº¸ê®Æ¡£¯S§O¬O¹ï¨Ì¿à·Å«×ªºª«²z©Ê½è¡¤¡C°²­Y§A¬O§Q¥Î³o¨Ç³nÅé¨Ó§¹¦¨®a®x§@·~¡A°_°È¥²¸Ô²Ó°O¿ý§Aªº­pºâ¹Lµ{¡C
Other useful packages include Maple, Xess, AutoCAD, and Pro/ENGINEER. You are encouraged to apply them in the solution of homework problems. In constructing any numerical solution, you should be conscious of the model you assume, the simulation steps used by the code, and the property data employed (especially when temperature-dependent properties are involved). If you prepare your homework using such software, be sure to document your calculations clearly.




 
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