A meshfree generalized finite difference method for solution mining processes

被引：15
|
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
收藏
页码：561 / 574
页数：14
相关论文
共 50 条
  • [1] A meshfree generalized finite difference method for solution mining processes
    Isabel Michel
    Tobias Seifarth
    Jörg Kuhnert
    Pratik Suchde
    Computational Particle Mechanics, 2021, 8 : 561 - 574
  • [2] MESHFREE SIMULATIONS FOR SOLUTION MINING PROCESSES
    Michel, Isabel
    Seifarth, Tobias
    Kuhnert, Joerg
    VI INTERNATIONAL CONFERENCE ON PARTICLE-BASED METHODS (PARTICLES 2019): FUNDAMENTALS AND APPLICATIONS, 2019, : 598 - 609
  • [3] A stabilized RBF finite difference method for convection dominated flows over meshfree nodes
    Javed, Ali
    Mazhar, Farrukh
    Shams, Taimur Ali
    Ayaz, Muhammad
    Hussain, Nadeem
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2019, 107 : 159 - 167
  • [4] A Compact Finite Difference Method for the Solution of the Generalized Burgers-Fisher Equation
    Sari, Murat
    Gurarslan, Gurhan
    Dag, Idris
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (01) : 125 - 134
  • [5] A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains
    Shojaei, Arman
    Galvanetto, Ugo
    Rabczuk, Timon
    Jenabi, Ali
    Zaccariotto, Mirco
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 343 : 100 - 126
  • [6] Meshfree generalized finite difference methods in soil mechanics—part II: numerical results
    Michel I.
    Bathaeian S.M.I.
    Kuhnert J.
    Kolymbas D.
    Chen C.-H.
    Polymerou I.
    Vrettos C.
    Becker A.
    GEM - International Journal on Geomathematics, 2017, 8 (2) : 191 - 217
  • [7] Improvements to the meshless generalized finite difference method
    Kamyabi, Ata
    Kermani, Vahid
    Kamyabi, Mohammadmandi
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2019, 99 : 233 - 243
  • [8] Theoretical analysis of the generalized finite difference method
    Zheng, Zhiyin
    Li, Xiaolin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 120 : 1 - 14
  • [9] Application of generalized finite difference method to propagation of nonlinear water waves in numerical wave flume
    Zhang, Ting
    Ren, Yu-Fei
    Yang, Zhi-Qiang
    Fan, Chia-Ming
    Li, Po-Wei
    OCEAN ENGINEERING, 2016, 123 : 278 - 290
  • [10] GENERALIZED FINITE DIFFERENCE MODELLING OF SOLIDIFICATION IN CONTINUOUS CASTING PROCESSES
    Saucedo-Zendejo, Felix Raymundo
    Resendiz-Flores, Edgar Omar
    METAL 2017: 26TH INTERNATIONAL CONFERENCE ON METALLURGY AND MATERIALS, 2017, : 71 - 76
12345