Adaptive Multilevel Grid Selection Strategies for Process Simulation Evolution Problems

An adaptive simulation approach with grid selection strategies, which keeps the accuracy of a discrete approximation below a predetermined tolerance with a minimum of computational effort, is a highly desirable feature for an accurate analysis and an efficient simulation of processes. The adaptive grid selection strategies generally have to fulfill two basic goals. Firstly, they have to supply the discretization approach with a domain partitioning method capable of adapting the size of the discretization cells locally, and secondly, they should supply the adaptive simulation approach with a method for the evaluation and the control of the discrete approximation errors during simulation.