求解水溶采矿过程的无网格广义有限差分法
A Meshfree Generalized Finite Difference Method for Solution Mining Processes
摘要:
近年来,溶解采矿过程的实验和现场研究得到了很大的改进。由于今天的计算能力,三维模拟的潜在盐溶液洞穴可以进一步提高这些过程的理解。它们作为一个规划场地的“虚拟原型”,在合理的时间内支持规划。在这方面的贡献,我们提出了一个无网格广义有限差分法(GFDM)的基础上云的数值点,能够模拟解决方案的开采过程中微观和宏观尺度上,这在空间和时间尺度上显着不同。着眼于预期的工业要求,拉格朗日和欧拉公式,包括任意拉格朗日欧拉(ALE)的方法被认为是。
英文摘要:
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.
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