TY - GEN
T1 - Meshless local B-spline basis functions-FD method and its application for heat conduction problem with spatially varying heat generation
AU - Hidayat, Mas Irfan P.
AU - Ariwahjoedi, Bambang
AU - Setyamartana, P.
AU - Megat Yusoff, Puteri S.M.
AU - Rao, Tadimalla V.V.L.N.
PY - 2014
Y1 - 2014
N2 - In this paper, a new meshless local B-spline basis functions-finite difference (FD) method is presented for two-dimensional heat conduction problem with spatially varying heat generation. In the method, governing equations are discretized by B-spline approximation in the spirit of FD technique using local B-spline collocation. The key aspect of the method is that any derivative at a point or node is stated as neighbouring nodal values based on the B-spline interpolants. Compared with mesh-based method such as FEM the method is simple and efficient to program. In addition, as the method poses the Kronecker delta property, the imposition of boundary conditions is also easy and straightforward. Moreover, it poses no difficulties in dealing with arbitrary complex domains. Heat conduction problem in complex geometry is presented to demonstrate the accuracy and efficiency of the present method.
AB - In this paper, a new meshless local B-spline basis functions-finite difference (FD) method is presented for two-dimensional heat conduction problem with spatially varying heat generation. In the method, governing equations are discretized by B-spline approximation in the spirit of FD technique using local B-spline collocation. The key aspect of the method is that any derivative at a point or node is stated as neighbouring nodal values based on the B-spline interpolants. Compared with mesh-based method such as FEM the method is simple and efficient to program. In addition, as the method poses the Kronecker delta property, the imposition of boundary conditions is also easy and straightforward. Moreover, it poses no difficulties in dealing with arbitrary complex domains. Heat conduction problem in complex geometry is presented to demonstrate the accuracy and efficiency of the present method.
KW - Generalized finite difference
KW - Heat conduction
KW - Local B-spline collocation
KW - Meshless
KW - Spatial heat generation
UR - http://www.scopus.com/inward/record.url?scp=84891908456&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMM.465-466.490
DO - 10.4028/www.scientific.net/AMM.465-466.490
M3 - Conference contribution
AN - SCOPUS:84891908456
SN - 9783037859339
T3 - Applied Mechanics and Materials
SP - 490
EP - 495
BT - 4th Mechanical and Manufacturing Engineering
T2 - 4th International Conference on Mechanical and Manufacturing Engineering, ICME 2013
Y2 - 17 December 2013 through 18 December 2013
ER -