TAN Yu-xin, ZHANG Hui-hua, HU Guo-dong. 2D Steady Heat Conduction Analysis With the Regular Hexagon Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2017, 38(5): 594-604. doi: 10.21656/1000-0887.370306
Citation: TAN Yu-xin, ZHANG Hui-hua, HU Guo-dong. 2D Steady Heat Conduction Analysis With the Regular Hexagon Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2017, 38(5): 594-604. doi: 10.21656/1000-0887.370306

2D Steady Heat Conduction Analysis With the Regular Hexagon Numerical Manifold Method

doi: 10.21656/1000-0887.370306
Funds:  The National Natural Science Foundation of China(11462014)
  • Received Date: 2016-10-09
  • Rev Recd Date: 2016-10-18
  • Publish Date: 2017-05-15
  • The polygonal numerical manifold method (NMM) was developed to analyze two2dimensional (2D) steady heat conduction problems. Based on the governing equation, the boundary conditions and the NMM temperature approximation, the discrete NMM equations were deduced according to the modified variational principle. The domain integration schemes on the polygonal elements were presented. Due to the independence between the mathematical cover system and the physical domain and in virtue of the accuracy advantage of regular polygonal elements, the Wachspress regular hexagon mathematical elements were adopted in 2 typical examples, and the computed temperatures agreed well with the referential ones. The study shows that the regular hexagon NMM can well tackle 2D heat conduction problems.
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