Evaluation of a coupled model for numerical simulation of a multiphase flow system in a porous medium and a surface fluid

作者: Yoshihiko Hibi , Akira Tomigashi

DOI: 10.1016/J.JCONHYD.2015.07.005

关键词: PorosityFluid dynamicsComputer simulationDarcy–Weisbach equationMultiphase flowGeotechnical engineeringSaltwater intrusionBoundary value problemPorous mediumMechanicsGeology

摘要: Numerical simulations that couple flow in a surface fluid with porous medium are useful for examining problems of pollution involve interactions among atmosphere, water, and groundwater, including saltwater intrusion along coasts. Coupled numerical such must consider both vertical between the complicated boundary conditions at their interface. In this study, simulation method coupling Navier-Stokes equations Darcy was developed. Then, basic ability coupled model to reproduce (1) drawdown observed square-pillar experiments, using pillars filled only or (2) migration (salt concentration 0.5%) pillar evaluated. Simulations assumed slippery walls reproduced well results drawdowns 10-30 cm when were packed sand, gas, water. Moreover, infiltration by developed velocity precisely because experimental salt after similar obtained simulation. Furthermore, across satisfied these experiments which predominated. Similarly, system horizontal predominated boundary. Finally, it confirmed present able simulate practical-scale system. All simulations, however, required great deal computational effort, time incremented 0.05- 0.10-s steps. Hereafter, needs be improved so can conducted less effort.

参考文章(26)
Francis H. Harlow, J. Eddie Welch, Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface Physics of Fluids. ,vol. 8, pp. 2182- 2189 ,(1965) , 10.1063/1.1761178
Hailong Li, Michel C. Boufadel, James W. Weaver, Tide-induced seawater–groundwater circulation in shallow beach aquifers Journal of Hydrology. ,vol. 352, pp. 211- 224 ,(2008) , 10.1016/J.JHYDROL.2008.01.013
Takashi Yabe, Feng Xiao, Takayuki Utsumi, The constrained interpolation profile method for multiphase analysis Journal of Computational Physics. ,vol. 169, pp. 556- 593 ,(2001) , 10.1006/JCPH.2000.6625
Thomas D. Brock, David Robert Lee, David Janes, David Winek, Groundwater seepage as a nutrient source to a drainage lake; Lake Mendota, Wisconsin Water Research. ,vol. 16, pp. 1255- 1263 ,(1982) , 10.1016/0043-1354(82)90144-0
Piotr K. Smolarkiewicz, Janusz A. Pudykiewicz, A Class of Semi-Lagrangian Approximations for Fluids Journal of the Atmospheric Sciences. ,vol. 49, pp. 2082- 2096 ,(1992) , 10.1175/1520-0469(1992)049<2082:ACOSLA>2.0.CO;2
C.W Hirt, B.D Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries Journal of Computational Physics. ,vol. 39, pp. 201- 225 ,(1981) , 10.1016/0021-9991(81)90145-5
A.A. Hill, B. Straughan, Poiseuille flow in a fluid overlying a highly porous material Advances in Water Resources. ,vol. 32, pp. 1609- 1614 ,(2009) , 10.1016/J.ADVWATRES.2009.08.007
Y.C. Chang, T.Y. Hou, B. Merriman, S. Osher, A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows Journal of Computational Physics. ,vol. 124, pp. 449- 464 ,(1996) , 10.1006/JCPH.1996.0072
T. Yabe, T. Ishikawa, P.Y. Wang, T. Aoki, Y. Kadota, F. Ikeda, A universal solver for hyperbolic equations by cubic-polynomial interpolation. II, Two- and three-dimensional solvers Computer Physics Communications. ,vol. 66, pp. 233- 242 ,(1991) , 10.1016/0010-4655(91)90072-S