A meshfree generalized finite difference method for solution mining processes

被引：13

作者：

Michel, Isabel ^{[1
]}

Seifarth, Tobias ^{[1
]}

Kuhnert, Joerg ^{[1
]}

Suchde, Pratik ^{[1
]}

机构：

[1] Fraunhofer Inst Ind Math ITWM, Fraunhofer Pl 1, D-67663 Kaiserslautern, Germany

来源：

COMPUTATIONAL PARTICLE MECHANICS | 2021年 / 8卷 / 03期

关键词：

Meshfree methods; Generalized finite difference method; Lagrangian formulation; Arbitrary Lagrangian-Eulerian formulation; Solution mining; POINTSET METHOD; MODEL; SIMULATION; VISCOSITY; DENSITY;

D O I：

10.1007/s40571-020-00353-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 and macroscopic scales, which differ significantly in both the spatial and temporal scales. Focusing on anticipated industrial requirements, Lagrangian and Eulerian formulations including an Arbitrary Lagrangian-Eulerian (ALE) approach are considered.

引用

页码：561 / 574

页数：14

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