Node generation in complex 3D domains for heat conduction problems solved by RBF-FD meshless method

A truly meshless method formulation for analysis of non-Fourier heat conduction in solids

The non-Fourier effect in heat conduction is important in strong thermal environments and thermal shock problems. Generally, commercial FE codes are not available for analysis of non-Fourier heat conduction. In this study, a meshless formulation is presented for the analysis of the non-Fourier heat conduction in the materials. The formulation is based on the symmetric local weak form of the sec...

A Meshless Computational Method for Solving Inverse Heat Conduction Problem

In this paper, a new meshless numerical scheme for solving inverse heat conduction problem is proposed. The numerical scheme is developed by using the fundamental solution of heat equation as basis function and treating the entire space-time domain in a global sense. The standard Tikhonov regularization technique and L-curve method are adopted for solving the resultant ill-conditioned linear sy...

A Meshless Method Based on Least-souares Approach for Steady- and Unsteady-state Heat Conduction Problems

The meshles.i method based on the least-squares approach, the rneshle.is weighted leastsquares (MWLS) method, is extended to soive conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretiiai analy.us antl numerical examples indicate that larger time steps can be used i...

A Meshless Method Based on Least-squares Approach for Steady- and Unsteady-state Heat Conduction Problems

The meshless method based on the least-squares approach, the meshless weighted leastsquares (MWLS) method, is extended to solve conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretical analysis and numerical examples indicate that larger time steps can be used in th...

Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method