论文标题
用于解决方案开采过程的无网格通用有限差异方法
A Meshfree Generalized Finite Difference Method for Solution Mining Processes
论文作者
论文摘要
近年来，针对溶液采矿过程的实验和现场调查已大大改善。由于当今的计算能力，对潜在盐溶液洞穴的三维模拟可以进一步增强对这些过程的理解。它们是投影站点的“虚拟原型”，并在合理的时间内支持计划。在此贡献中，我们基于数值点云提出了一种无网状的有限差异方法（GFDM），该方法能够在显微镜和宏观尺度上模拟溶液挖掘过程，这在空间和时间尺度上都显着差异。为了关注预期的工业需求，考虑了拉格朗日和欧拉的配方，包括任意的拉格朗日 - 欧拉（ALE）方法。
Experimental and field investigations for solution mining processes have improved intensely in recent years. Due to today's computing capacities, three-dimensional simulations of potential salt solution caverns can further enhance the understanding of these processes. They serve as a "virtual prototype" of a projected site and support planning in reasonable time. In this contribution, we present a meshfree Generalized Finite Difference Method (GFDM) based on a cloud of numerical points that is able to simulate solution mining processes on microscopic as well as macroscopic scales, which differ significantly in both the spatial and temporal scale. Focusing on anticipated industrial requirements, Lagrangian and Eulerian formulations including an Arbitrary Lagrangian-Eulerian (ALE) approach are considered.
