A new benchmark semi-analytical solution for density-driven flow in porous media |
| |
| Institution: | 1. College of Chemistry and Chemical Engineering, Key Laboratory of Nanomagnetic and Functional Materials, Inner Mongolia University, Hohhot 010021, China;2. Shanghai Key Laboratory of Green Chemistry and Chemical Processes, Department of Chemistry, East China Normal University, Shanghai 200062, China |
| |
| Abstract: | A new benchmark semi-analytical solution is proposed for the verification of density-driven flow codes. The problem deals with a synthetic square porous cavity subject to different salt concentrations at its vertical walls. A steady state semi-analytical solution is investigated using the Fourier–Galerkin method. Contrarily to the standard Henry problem, the cavity benchmark allows high truncation orders in the Fourier series and provides semi-analytical solutions for very small diffusion cases. The problem is also investigated numerically to validate the semi-analytical solution. The obtained results represent a set of new test case high quality data that can be effectively used for benchmarking density-driven flow codes. |
| |
| Keywords: | Density-driven flow Benchmark Semi-analytical solution Fourier series |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
