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 spatial derivatives by using Taylor expansion in local node influence domains and the weighted least squares method. The first-order single-point upstream scheme in the FDM/FVM-based reservoir simulator is introduced to GFDM to form the upwind GFDM, based on which, a sequential coupled discrete scheme of the pressure diffusion equation and the heat convection-conduction equation is solved to obtain pressure and temperature profiles. This paper demonstrates that this method can be used to obtain the meshless solution of the convection-diffusion equation with a stable upwind effect. For porous flow problems, the upwind GFDM is more practical and stable than the method of manually adjusting the influence domain based on the prior information of the flow field to achieve the upwind effect. Two types of calculation errors are analyzed, and three numerical examples are implemented to illustrate the good calculation accuracy and convergence of the upwind GFDM for heat and mass transfer problems in porous media, and indicate the increase of the radius of the node influence domain will increase the calculation error of temperature profiles. Overall, the upwind GFDM discretizes the computational domain using only a point cloud that is generated with much less topological constraints than the generated mesh, but achieves good computational performance as the mesh-based approaches, and therefore has great potential to be developed as a general-purpose numerical simulator for various porous flow problems in domains with complex geometry.

翻译：在本文中,为多孔媒体的热量和大规模传输问题开发了一个上风GFDM机制。GFDM机制是一种无孔不入的方法,它通过利用泰勒在地方节点影响域和加权最小平方法的扩展,可以获得空间衍生物的不同方案。FDM/FVM基储油层模拟器的第一级单点上游方案被引入GFDM机制,以形成上风GFDM机制,在此基础上,将压力扩散方程和热对流-导方程的相联组合计划解决,以获得压力和温度剖析。这份文件表明,可以使用这一方法获得对调-调方方方方方形的无线解决方案,并取得稳定的上向上方效果。对于容易的流问题,GFDM机制上风比手动调整影响范围的方法更实际、更稳定。 两种计算错误都用于分析,三个数字例子用来说明GFDDDD的上向上方位组合的准确性和趋合。因此,在高温和大规模传输方位计算中,在高频的轨道上流流流的轨道上,将提高成本的轨道的计算,因此,在高端媒体的计算中将提高的轨道上流流流的轨道的轨道上,将增加一个轨道的轨道的轨道的轨道的轨道的轨道的轨道上,将增加。