Various discretization methods exist for the numerical simulation of multiphase flow in porous media. In this paper, two methods are introduced and analyzed -a full-upwind Galerkin method which belongs to the classical finite element methods, and a mixed-hybrid finite element method based on an impl
A mixed finite element/finite volume approach for solving biodegradation transport in groundwater
โ Scribed by Claudio Gallo; Gianmarco Manzini
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 445 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0271-2091
No coin nor oath required. For personal study only.
โฆ Synopsis
A numerical model for the simulation of flow and transport of organic compounds undergoing bacterial oxygen-and nitrate-based respiration is presented. General assumptions regarding microbial population, bacteria metabolism and effects of oxygen, nitrogen and nutrient concentration on organic substrate rate of consumption are briefly described. The numerical solution techniques for solving both the flow and the transport are presented. The saturated flow equation is discretized using a high-order mixed finite element scheme, which provides a highly accurate estimation of the velocity field. The transport equation for a sorbing porous medium is approximated using a finite volume scheme enclosing an upwind TVD shock-capturing technique for capturing concentration-unsteady steep fronts. The performance and capabilities of the present approach in a bio-remediation context are assessed by considering a set of test problems. The reliability of the numerical results concerning solution accuracy and the computational efficiency in terms of cost and memory requirements are also estimated.
๐ SIMILAR VOLUMES
Our work is an extension of the previously proposed multivariant element. We assign this reยฎned element as a compact mixed-order element in the sense that use of this element offers a much smaller bandwidth. The analysis is implemented on quadratic hexahedral elements with a view to analysing a thre
A new computational method is developed for numerical solution of the Richards equation for flow in variably saturated porous media. The new method, referred to as the mixed transform finite element method, employs the mixed formulation of the Richards equation but expressed in terms of a partitione
A poroelastic numerical model is presented to evaluate three-dimensional consolidation due to groundwater withdrawal from desaturating anisotropic porous media. This numerical model is developed based on the fully coupled governing equations for groundwater #ow in deforming variably saturated porous