  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.
