K, Sudarshan Kumar ; C, Praveen ; D Veerappa Gowda, G. (2014) A finite volume method for a two-phase multicomponent polymer flooding Journal of Computational Physics, 275 . pp. 667-695. ISSN 0021-9991
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Official URL: http://doi.org/10.1016/j.jcp.2014.07.014
Related URL: http://dx.doi.org/10.1016/j.jcp.2014.07.014
Abstract
Multicomponent polymer flooding used in enhanced oil recovery is governed by a system of coupled non-strictly hyperbolic conservation laws. In the presence of gravity, the flux functions need not be monotone and hence designing Godunov type upwind schemes is difficult and computationally expensive. To overcome this difficulty, we use the basic idea of discontinuous flux to reduce the coupled system into an uncoupled system of scalar conservation laws with discontinuous coefficients. For these scalar equations we use the DFLU flux developed in [5] to construct a second order scheme. The scheme is shown to satisfy a maximum principle and the performance of the scheme is shown on both one and two dimensional test problems.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Conservation Laws; Discontinuous Flux; Finite Volume; Polymer Flooding; Multicomponent; Riemann Problems. |
| ID Code: | 119734 |
| Deposited On: | 16 Jun 2021 13:05 |
| Last Modified: | 16 Jun 2021 13:05 |
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