Numerical simulation of 1-D oil and water displacements in petroleum reservoirs using the correction procedure via reconstruction (CPR) method

Galindez-Ramirez, G.; Carvalho, Darlan Karlo Elisiário de; Lyra, Paulo Roberto Maciel

doi:10.1007/s10596-019-09884-x

Cited by 7 publications

(1 citation statement)

References 52 publications

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“…14,15 According to the property of different parameters, some optimization works have been done. 16 Also, FR scheme has been applied in real applications like large-eddy simulation (LES), 17 overset grid, 18 multi-phase simulations, 19,20 and so forth.…”

Section: Introductionmentioning

confidence: 99%

Shock capturing with the high‐order flux reconstruction method on adaptive meshes based on p4est

Xia

2022

Engineering Reports

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High order schemes have been investigated for quite a long time, and the flux reconstruction (FR) scheme proposed by Huynh recently attracts the attention of researchers due to its simplicity and efficiency. Building the framework that bridges discontinuous Galerkin (DG) and spectral difference (SD) schemes, FR recovers DG and SD conveniently with a careful selection of parameters. In this article, FR scheme is realized based on the framework of p4est, an open source adaptive mesh refinement library. The shock capturing ability of localized Laplacian artificial viscosity and in‐cell piecewise integrated solution methods are compared. Curved boundary treatment for high order schemes is adopted. The performance of developed code is estimated in both one and two dimensions including curved boundary and shock cases, and some attractive results are obtained.

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