3 papers
math.NA2022
A Novel Meshless Method Based on the Virtual Construction of Node Control Domains for Porous Flow Problems
Xiang Rao
In this paper, a novel meshless method that can handle porous flow problems with singular source terms is developed by virtually constructing the node control domains. By defining…
math.NA2021
An Upwind Generalized Finite Difference Method (GFDM) for Meshless Analysis of Heat and Mass Transfer in Porous Media
Xiang Rao
In this paper, an upwind GFDM is developed for the coupled heat and mass transfer problems in porous media. GFDM is a meshless method that can obtain the difference schemes of spat…
math.NA2021
An Upwind Generalized Finite Difference Method for Meshless Solution of Two-phase Porous Flow Equations
Xiang Rao, Yina Liu, Hui Zhao
This paper makes the first attempt to apply newly developed upwind GFDM for the meshless solution of two-phase porous flow equations. In the presented method, node cloud is used to…