Abstract
The boundary element method (BEM) has been applied to the case of three-dimensional steady state heat flow with no internal heat generation. The edge and corner effects and the near surface difficulties due to singular integral kernels of BEM are considered. Certain existing methods to overcome these difficulties have been implemented and tested. An algorithm is proposed which considers floating temporary nodes and local refinements of the mesh for interior points close to the boundary. The effects of the different methods of reducing the error are studied in the case of temperature distribution in a cube. The severity of the various errors increases with the coarsening of the mesh. The proposed method, however, is found to solve the near surface problems very effectively, even in the case of a very coarse mesh with negligibly small excess processing time.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call