In this paper, an upwind meshless GFDM is presented for the first time and applied to the coupled computation of heat and mass transfer in porous media. The GFDM based sequential coupled discrete schemes of the pressure diffusion equation and thermal convection-diffusion equation, the upwind scheme of physical parameters without modifying node influence domain and the treatment of heterogeneous physical parameters in GFDM are given. Three numerical examples illustrate the good computational performances of the presented upwind GFDM and the application of the method to numerical solutions of the convection-diffusion equation. This study shows that this upwind GFDM, which can flexibly characterize the computational domain through allocation nodes without complicated mesh division and has sufficient accuracy, may have great potential to be developed as a general numerical simulator in the multi-physics coupling problem with complex geometry.

翻译：本文首次展示了无上风网格的GFDM, 并应用于在多孔介质中同时计算热量和大规模传输。GFDM基于压力扩散方程式和热对流扩散方程式的相继和离散组合计划,不改变节点影响域的上风物理参数计划和GFDM对不同物理参数的处理。三个数字例子说明了展示的上风GFDM的计算性能和对对流扩散方程式的数字解决方案应用方法。本研究表明,这种上风的GFDMD能够通过没有复杂的网格分割和足够准确的分配节点灵活地描述计算域,在与复杂几何对称交织的多物理问题中作为一般数字模拟器开发的可能性很大。