Second-order accurate finite volume method for well-driven flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:307

Article

Dotlic, M.¹  Vidovic, D.¹  Pokorni, B.¹  Pusic, M.²  Dimkic, M.¹ 

[1] Jaroslav Cerni Inst, Jaroslava Cernog 80, Belgrade 11226, Serbia

[2] Univ Belgrade, Fac Min & Geol, Dusina 7, Belgrade 11000, Serbia

关键词: Finite volume method;    Near-well modeling;    Groundwater;    Flow simulations;    Second-order accuracy;   

DOI  :  10.1016/j.jcp.2015.12.021

来源: Elsevier

【 摘 要 】

We consider a finite volume method for a well-driven fluid flow in a porous medium. Due to the singularity of the well, modeling in the near-well region with standard numerical schemes results in a completely wrong total well flux and an inaccurate hydraulic head. Local grid refinement can help, but it comes at computational cost. In this article we propose two methods to address the well singularity. In the first method the flux through well faces is corrected using a logarithmic function, in a way related to the Peaceman model. Coupling this correction with a non-linear second-order accurate two-point scheme gives a greatly improved total well flux, but the resulting scheme is still inconsistent. In the second method fluxes in the near-well region are corrected by representing the hydraulic head as a sum of a logarithmic and a linear function. This scheme is second-order accurate. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free