Local RBF-DQ method for two-dimensional transient heat conduction problems

• Published in: International communications in heat and mass transfer Vol. 37; no. 9; pp. 1411 - 1418
• Main Authors: Soleimani, Soheil, Jalaal, M., Bararnia, H., Ghasemi, E., Ganji, D.D., Mohammadi, F.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.11.2010; Elsevier
• Subjects: Analytical and numerical techniques; Approximation; Conduction; Exact sciences and technology; Finite element method; Fundamental areas of phenomenology (including applications); Heat conduction; Heat transfer; Irregular geometry; Mathematical analysis; Mathematical models; Mesh-free method; Physics; Quadratures; Radial basis function; Two dimensional; Radial basis function; Conduction; Irregular geometry; Mesh-free method; Temperature distribution; Geometrical shape; Meshless method; Digital simulation; Boundary conditions; Modelling; Thermal conduction; Transients; Quadratures
• ISSN: 0735-1933; 1879-0178
• DOI: 10.1016/j.icheatmasstransfer.2010.06.033

The meshless local radial basis function-based differential quadrature (RBF-DQ) method is applied on two-dimensional heat conduction for different irregular geometries. This method is the combination of differential quadrature approximation of derivatives and function approximation of radial basis function. Four different geometries with regular and irregular boundaries are considered, and numerical results are compared with those gained by finite element (FE) solution achieved by COMSOL commercial code. Outcomes prove that current technique is in very good agreement with FEM and this fact that RBF-DQ method is an accurate and flexible method in solution of heat conduction problems.