In:
International Journal for Numerical Methods in Fluids, Wiley, Vol. 84, No. 6 ( 2017-06-30), p. 352-381
Abstract:
This article presents a new nonlinear finite‐volume scheme for the nonisothermal two‐phase two‐component flow equations in porous media. The face fluxes are approximated by a nonlinear two‐point flux approximation, where transmissibilities nonlinearly depend on primary variables. Thereby, we mainly follow the ideas proposed by Le Potier combined with a harmonic averaging point interpolation strategy for the approximation of arbitrary heterogeneous permeability fields on polygonal grids. The behavior of this interpolation strategy is analyzed, and its limitation for highly anisotropic permeability tensors is demonstrated. Moreover, the condition numbers of occurring matrices are compared with linear finite‐volume schemes. Additionally, the convergence behavior of iterative solvers is investigated. Finally, it is shown that the nonlinear scheme is more efficient than its linear counterpart. Copyright © 2016 John Wiley & Sons, Ltd.
Type of Medium:
Online Resource
ISSN:
0271-2091
,
1097-0363
Language:
English
Publisher:
Wiley
Publication Date:
2017
detail.hit.zdb_id:
245720-9
detail.hit.zdb_id:
1491176-0
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