A multinumerics scheme for incompressible two-phase flow

Doyle, B.M.; Rivière, Béatrice; Sekachev, Michael

doi:10.1016/j.cma.2020.113213

Cited by 4 publications

(2 citation statements)

References 21 publications

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“…The literature on numerical methods for two-phase flows in porous media is large, particularly for the case of incompressible phases. [1][2][3][4][5] It is known that suitable methods for porous media flows should satisfy a local mass conservation property. Both finite volume methods and DG methods are good candidates.…”

Section: Introductionmentioning

confidence: 99%

Bound‐preserving discontinuous Galerkin methods for compressible two‐phase flows in porous media

Sarraf Joshaghani,

Riviere

2023

Numerical Meth Engineering

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This paper presents a numerical study of immiscible, compressible two‐phase flows in porous media, that takes into account heterogeneity, gravity, anisotropy and injection/production wells. We formulate a fully implicit stable discontinuous Galerkin solver for this system that is accurate, that respects maximum principle for the approximation of saturation, and that is locally mass conservative. To completely eliminate the overshoot and undershoot phenomena, we construct a flux limiter that produces bound‐preserving elementwise average of the saturation. The addition of a slope limiter allows to recover a pointwise bound‐preserving discrete saturation. Numerical results show that both maximum principle and monotonicity of the solution are satisfied. The proposed flux limiter does not impact the local mass error and the number of nonlinear solver iterations.

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Section: Introductionmentioning

confidence: 99%

Bound‐preserving discontinuous Galerkin methods for compressible two‐phase flows in porous media

Sarraf Joshaghani,

Riviere

2023

Numerical Meth Engineering

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“…They measured single-and two-phase pressure drop values under various flow regimes. Bryan Doyle et al [18] solved the two-phase incompressible flow issue by combining the cell-centered finite volume with the discontinuous Galerkin. Ferraris [19] empirically analyzed the pressure drop in the helical channels.…”

Section: Introductionmentioning

confidence: 99%

Flow Frictional Characteristics of Air–Water Flow Characteristics under Stable and Transverse Vibration Conditions in Horizontal Channels

Sun

Zhou

2022

Energies

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We experimentally studied the air–water pressure drop characteristics with inner diameters of 20 mm under stable and transverse vibration conditions in the horizontal circular channel. We experimented with the status of the gas-phase conversion flow velocity Jg at 0.1–20 m/s, and the liquid-phase conversion flow velocity Jw at 0.1–3.0 m/s. In this paper, we discuss the effect of flow velocity, amplitude, and frequency on the transverse vibration pressure drops. With increasing frequency and amplitude, the vibration performance of pressure drops become more intense. Thus, with increasing frequency and amplitude, the frictional pressure drop increases. Moreover, the frictional pressure drop increases linearly with the increasing flow velocity. We compared the experimental results of air–water pressure drop with the calculated results of previous empirical correlations. Based on Chisholm-C correlation, we obtained a modified correlation for factor C in horizontal channels under transverse vibration conditions. The new correlation considers the effect of channel confinement number, amplitude, frequency, and vapor quality. The new correlation has relatively good prediction results for the experiments, and the mean absolute deviation is 8.2%.

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