Transient heat conduction analysis for distance-field-based irregular geometries using the meshless weighted least-square method

ABSTRACTThe paper analyzes the transient heat conduction problem with the irregular geometry using the meshless weighted least-square method (MWLS). The MWLS as a meshless method is fully independent of mesh, a discrete function is used to construct a series of linear equations, which avoided the troublesome task of numerical integration. First, irregular geometries are represented by the signed distance field. Then sampling the distance field, discrete nodes are obtained for MWLS analysis. The effectiveness and accuracy of the approach are illustrated by several numerical examples. Numerical cases show that a good agreement is achieved between the results obtained from the proposed meshless method and available analytical solutions or commercial software ANSYS.