Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/125385
Title: Simulation of non linear heat transfer and fluid flow problems using element free galerkin method
Researcher: Singh, Akhilendra
Guide(s): Ravi Prakash
Keywords: non linear heat transfer, fluid flow problems, free galerkin
University: Birla Institute of Technology and Science
Completed Date: 
Abstract: This work deals with the numerical solution of non-linear heat transfer and fluid flow newlineproblems using element free Galerkin method (EFGM). EFGM requires only a set of nodes newlineover the domain along with boundary description to construct the approximation function. In newlinethis method, both trial and test functions are constructed from the same space using moving newlineleast square (MLS) approximants. These MLS approximants are constructed by using a newlineweight function, a basis function and a set of non-constant coefficients. The essential newlineboundary conditions are enforced using Lagrange multiplier method (LMM) and penalty newlinemethod (PM). Variational method has been utilized to obtain the discrete equations. newlineFew non-linear heat transfer problems have been solved by EFGM and meshless software newlinehave been developed to obtain the numerical solution of 1-D, 2-D and 3-D non-linear heat newlinetransfer problems along with a non-linear axisymmetric heat transfer problem. Quasilinearization newlinescheme is adopted to avoid the iteration for non-linear solution and backward newlinedifference method is used for the time integration. The results obtained by EFGM using newlineLMM and PM are found in good agreement with those obtained by FEM. newlineFour cases have been taken to check the applicability of EFGM in fluid flow problems. newlineEFGM software has been developed to obtain the numerical solution. In all four cases, the newlineresult obtained by EFGM using LMM and PM have been found almost similar and are in newlinegood agreement with those obtained by FEM. For fluid flow problems, the effect of scaling newlineparameter ( ) max d on EFGM results has been discussed in detail and the acceptable range of newlinescaling parameter was found to be 1.1 1.3 max lt d lt for both LMM and PM. The effect of newlinepenalty parameter (and#945; ) on EFGM results has also been discussed in detail and it was noticed newlinethat the acceptable range of penalty parameter is 105 to 109. newlineIn this research work, EFGM has been successfully utilized to solve non-linear heat newlinetransfer and fluid flow problems. On the basis of these simulations.
Pagination: xx
URI: http://hdl.handle.net/10603/125385
Appears in Departments:Mechanical Engineering

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