| Status | 即將出版Forthcoming |
| An h-adaptive finite element solution of the relaxation non-equilibrium model for gravity-driven fingers | |
Bian, H.; Shen, Y.; Hu, G.
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| 2021-08-01 | |
| Source Publication | Advances in Applied Mathematics and Mechanics
 |
| ISSN | 2075-1354 |
| Pages | 1418-1440 |
| Abstract | The study on the fingering phenomenon has been playing an important role in understanding the mechanism of the fluid flow through the porous media. In this paper, a numerical method consisting of the Crank-Nicolson scheme for the temporal discretization and the finite element method for the spatial discretization is proposed for the relaxation non-equilibrium Richards equation in simulating the fingering phenomenon. Towards the efficiency and accuracy of the numerical simulations, a predictor-corrector process is used for resolving the nonlinearity of the equation, and an h-adaptive mesh method is introduced for accurately resolving the solution around the wetting front region, in which a heuristic a posteriori error indicator is designed for the purpose. In numerical simulations, a traveling wave solution of the governing equation is derived for checking the numerical convergence of the proposed method. The effectiveness of the h-adaptive method is also successfully demonstrated by numerical experiments. Finally the mechanism on generating fingers is discussed by numerically studying several examples. |
| Keyword | Non-equilibrium Richard equation h-adaptive mesh method a posteriori error estimation fingering phenomenon porous media flow |
| URL | View the original |
| Language | 英語English |
| The Source to Article | PB_Publication |
| PUB ID | 54112 |
| Document Type | Journal article |
| Collection | University of Macau |
| Corresponding Author | Hu, G. |
| Recommended Citation GB/T 7714 | Bian, H.,Shen, Y.,Hu, G.. An h-adaptive finite element solution of the relaxation non-equilibrium model for gravity-driven fingers[J]. Advances in Applied Mathematics and Mechanics, 2021, 1418-1440. |
| APA | Bian, H.., Shen, Y.., & Hu, G. (2021). An h-adaptive finite element solution of the relaxation non-equilibrium model for gravity-driven fingers. Advances in Applied Mathematics and Mechanics, 1418-1440. |
| MLA | Bian, H.,et al."An h-adaptive finite element solution of the relaxation non-equilibrium model for gravity-driven fingers".Advances in Applied Mathematics and Mechanics (2021):1418-1440. |
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