ADEQUACY OF FINITE ELEMENT MODELS TO SIMULATE ADVECTIVE-DISPERSIVE TRANSPORT COUPLED WITH INTRA-PARTICLE DIFFUSION

作者：Hossain Md Akram^*

来源：Journal of Porous Media, 2011, 14(10): 883-892.

DOI：10.1615/JPorMedia.v14.i10.40

• advective
• dispersive
• intra-particle
• diffusion
• finite
• difference
• collocation
• element

Advective-dispersive transport coupled with intra-particle diffusion is encountered in both engineered and natural systems. Finite difference models (FDMs) and models based on the method of orthogonal collocation (MOC) are generally employed to simulate such transport. The FDM and the MOC, however, may have oscillatory results. The objective of this paper is to explore the relative accuracy of finite element models (FEMs) to simulate the advective-dispersive transport coupled with intra-particle diffusion for a range of adsorbents. Four FEMs that employ linear basis functions for the solution were considered. The FEMs explored are the Galerkin FEM (GFEM), the Petrov-Galerkin FEM (PGFEM), the Crank-Nicolson-Galerkin FEM (CNGFEM), and the Crank-Nicolson-Petrov-Galerkin FEM (CNPGFEM). The model predictions were compared with experimental data obtained from the literature. The model predictions were generally found to be in good agreement with the experimental data. The models were, in general, stable. It was found that the predictions by the different models were virtually the same. The CNGFEM, however, can be considered preferable over the other models for its ability to provide results of higher-order temporal accuracy.

• 出版日期2011