Boundary element method in nonlinear transient heat transfer of reactor solids with convection and radiation on surfaces

Conjugate heat transfer of backward-facing step flow: A benchmark problem revisited

“…In our team, we develop the BEM code for solving the general equation and for viscous flow for 30 years. During this period several articles have been published, see [16][17][18]. In the work by Hriberšek and Kuhn [19] the BEM was already successfully applied for the solution of conjugate heat transfer.…”

Treatment of Topology Optimization of a Two-Dimensional Field Governed by Laplace’s Equation Under Nonlinear Boundary Condition

“…However, there are some structural optimization problems involving linear governing equations but under nonlinear boundary conditions, such as those encountered in galvanic cathodic protection [3], [4] and thermal radiation problems [5]- [8].…”

Steady and transient heat transfer analysis using a stable node-based smoothed finite element method

“…Payre et al [3] has developed an `upwind' finite element method via numerical integration to improve previous upwind finite element schemes for diffusion-convection problems. The boundary element method (BEM) has been used by Skerget et al [4] to solve transient heat transfer in reactor solids. The element free Galerkin (EFG) method has been applied to analyze heat transfer problems by Singh et al [5][6][7].…”

“…A class of smoothed FEM models have been developed on the base of the gradient smoothing technique, such as the smoothed finite element method (SFEM) (Liu et al [13], Xue et al [14]), the node-based smoothed finite element method (NS-FEM) (Liu et al [15]), the edge-based smoothed finite element method (ES-FEM) ( Liu et al [16], Cui et al [17,18], Feng et al [19]) and the face-based smoothed finite element method (FS-FEM) (Feng et al [20]). NS-FEM wins the favor recently for its prominent inherent properties: (1) can give an upper bound solution in energy norm for problems with homogeneous essential boundary conditions; (2) can use polygonal elements with an arbitrary number of sides; (3) well immune from volumetric locking; (4) insensitive to element distortion. Besides, researchers have studied the computation time and computation efficiency of NS-FEM in previous works and have found that the computational efficiency of NS-FEM is about three times lower than that of FEM-T3 in terms of displacement norm and 20 times higher in strain energy norm.…”