A Lagrangian-Eulerian method with an optimal adaptive local grid refinement is used to model contaminant transport equations. Application of this approach to two bench-mark problems indicates that it completely resolves difficulties of peak clipping, numerical diffusion, and spurious oscillation. Results are compared with and shown superior to those obtained by the N+2 linear and quadratic finite element simulations. Furthermore, unlike the N+2 finite element methods whose accuracy relies on the proper choice of optimal parameters, there is no parameter adjustment required with the optimal adaptive local grid refinement approach. Extension of this approach to multi-dimensional problems does not pose any conceptual difficulty, and should alleviate grid orientation problems.
|Number of pages||9|
|State||Published - 1992|
|Event||Proceedings of the 9th International Conference on Computational Methods in Water Resources - Denver, CO, USA|
Duration: 1 Jun 1992 → 1 Jun 1992
|Conference||Proceedings of the 9th International Conference on Computational Methods in Water Resources|
|City||Denver, CO, USA|
|Period||1/06/92 → 1/06/92|