Least-Squares Collocation Meshless Approach for Coupled Radiative and Conductive Heat Transfer

A new local meshless method for steady-state heat conduction in heterogeneous materials

“…Liu et al [10] used meshless weighted least-squares (MWLS) method to solve steady-and unsteadystate heat conduction problems. Tan et al [11] applied leastsquares collocation meshless method to solve coupled radiative and heat conduction problems. Sadat et al [12] used diffuse approximation meshless method (DAM) to solve a two-dimensional heterogeneous heat conduction problem.…”

Meshless method based on the local weak-forms for steady-state heat conduction problems

“…Liu et al [23] used meshless weighted least-squares (MWLS) method to solve steady-and unsteady-state heat conduction problems. Tan et al [24] applied least-squares collocation meshless method to solve coupled radiative and heat conduction problems. Sadat et al [25] used DAM to solve a two-dimensional heterogeneous heat conduction problem.…”

Reproducing Kernel Particle Method for Radiative Heat Transfer in 1D Participating Media

“…For each discrete particle on the inflow boundary, the radiative intensity is given by (6), and the boundary condition can be directly imposed as follows:…”

“…Liu employed the meshless local Petrov-Galerkin (MLPG) method [2][3][4] and the least-squares collocation meshless (LSCM) method [5][6][7] to solve radiative heat transfer in gradient refractive index medium and coupled heat transfer in a participating medium. Wang et al [8] presented a moving least squares approximation meshless method to solve the radiative transfer equation in complex 2D and 3D geometries.…”