메뉴 건너뛰기




Volumn 33, Issue 1, 2010, Pages 92-105

Numerical modelling of coupled surface and subsurface flow systems

Author keywords

Beavers Joseph Saffman; Darcy's law; Discontinuous Galerkin; Finite element method; Fractured porous media; Mass conservation; Navier Stokes equations

Indexed keywords

COUPLED SYSTEMS; DARCY'S LAW; DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD; DISCONTINUOUS GALERKIN METHODS; FRACTURED POROUS MEDIA; HETEROGENEOUS POROUS MEDIA; MASS CONSERVATION; NAVIER STOKES; NUMERICAL MODELLING; NUMERICAL SOLUTION; SURFACE AND SUBSURFACE FLOW;

EID: 71649102110     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2009.10.012     Document Type: Article
Times cited : (31)

References (26)
  • 1
    • 0028450252 scopus 로고
    • Finite element formulations for large-scale coupled flows in adjacent porous and open fluid domains
    • Salinger A., Aris R., and Derby J. Finite element formulations for large-scale coupled flows in adjacent porous and open fluid domains. Int J Numer Methods Fluids 18 (1994) 1185-1209
    • (1994) Int J Numer Methods Fluids , vol.18 , pp. 1185-1209
    • Salinger, A.1    Aris, R.2    Derby, J.3
  • 2
    • 0032033192 scopus 로고    scopus 로고
    • Modelling of combined Navier-Stokes and Darcy flows in crossflow membrane filtration
    • Nassehi V. Modelling of combined Navier-Stokes and Darcy flows in crossflow membrane filtration. Chem Eng Sci 53 6 (1998) 1253-1265
    • (1998) Chem Eng Sci , vol.53 , Issue.6 , pp. 1253-1265
    • Nassehi, V.1
  • 3
    • 33646874103 scopus 로고    scopus 로고
    • Numerical analysis of coupled Stokes/Darcy flows in industrial filtrations
    • Hanspal N., Waghode A., Nassehi V., and Wakeman R. Numerical analysis of coupled Stokes/Darcy flows in industrial filtrations. Transp Porous Media 64 1 (2006) 73-101
    • (2006) Transp Porous Media , vol.64 , Issue.1 , pp. 73-101
    • Hanspal, N.1    Waghode, A.2    Nassehi, V.3    Wakeman, R.4
  • 4
    • 17444401431 scopus 로고    scopus 로고
    • Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
    • Brezzi F., et al. (Ed), Springer, Milan
    • Discacciati M., and Quarteroni A. Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations. In: Brezzi F., et al. (Ed). Numerical analysis and advanced applications - ENUMATH 2001 (2003), Springer, Milan 3-20
    • (2003) Numerical analysis and advanced applications - ENUMATH 2001 , pp. 3-20
    • Discacciati, M.1    Quarteroni, A.2
  • 5
    • 0036776588 scopus 로고    scopus 로고
    • Mathematical and numerical models for coupling surface and groundwater flows
    • Discacciati M., Miglio E., and Quarteroni A. Mathematical and numerical models for coupling surface and groundwater flows. Appl Numer Math 43 (2001) 57-74
    • (2001) Appl Numer Math , vol.43 , pp. 57-74
    • Discacciati, M.1    Miglio, E.2    Quarteroni, A.3
  • 6
    • 0347337976 scopus 로고    scopus 로고
    • Coupling fluid flow with porous media flow
    • Layton W., Schieweck F., and Yotov I. Coupling fluid flow with porous media flow. SIAM J Numer Anal 40 6 (2003) 2195-2218
    • (2003) SIAM J Numer Anal , vol.40 , Issue.6 , pp. 2195-2218
    • Layton, W.1    Schieweck, F.2    Yotov, I.3
  • 7
    • 27744551448 scopus 로고    scopus 로고
    • Locally conservative coupling of Stokes and Darcy flow
    • Rivière B., and Yotov I. Locally conservative coupling of Stokes and Darcy flow. SIAM J Numer Anal 42 (2005) 1959-1977
    • (2005) SIAM J Numer Anal , vol.42 , pp. 1959-1977
    • Rivière, B.1    Yotov, I.2
  • 8
    • 17444430004 scopus 로고    scopus 로고
    • Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
    • Rivière B. Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. J Sci Comput 22 (2005) 479-500
    • (2005) J Sci Comput , vol.22 , pp. 479-500
    • Rivière, B.1
  • 9
    • 70349409866 scopus 로고    scopus 로고
    • Analysis of a multi-numerics/multi-physics problem
    • Rivière B. Analysis of a multi-numerics/multi-physics problem. Numer Math Adv Appl (2004) 726-735
    • (2004) Numer Math Adv Appl , pp. 726-735
    • Rivière, B.1
  • 10
    • 46949098907 scopus 로고    scopus 로고
    • Robin-Robin domain decomposition methods for the Stokes-Darcy coupling
    • Discacciati M., Quarteroni A., and Valli A. Robin-Robin domain decomposition methods for the Stokes-Darcy coupling. SIAM J Numer Anal 45 3 (2007) 1246-1268
    • (2007) SIAM J Numer Anal , vol.45 , Issue.3 , pp. 1246-1268
    • Discacciati, M.1    Quarteroni, A.2    Valli, A.3
  • 11
    • 33748428656 scopus 로고    scopus 로고
    • A unified stabilized method for Stokes and Darcy's equations
    • Burman E., and Hansbo P. A unified stabilized method for Stokes and Darcy's equations. J Comput Appl Math 198 1 (2007) 35-51
    • (2007) J Comput Appl Math , vol.198 , Issue.1 , pp. 35-51
    • Burman, E.1    Hansbo, P.2
  • 12
    • 71649084049 scopus 로고    scopus 로고
    • Badea L, Discacciati M, Quarteroni A. Mathematical analysis of the Navier-Stokes and Darcy coupling. Technical report of Politecnico di Milano
    • Badea L, Discacciati M, Quarteroni A. Mathematical analysis of the Navier-Stokes and Darcy coupling. Technical report of Politecnico di Milano.
  • 13
    • 70349434543 scopus 로고    scopus 로고
    • DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition
    • Girault V., and Rivière B. DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. SIAM J Numer Anal 47 (2009) 2052-2089
    • (2009) SIAM J Numer Anal , vol.47 , pp. 2052-2089
    • Girault, V.1    Rivière, B.2
  • 14
    • 70349417842 scopus 로고    scopus 로고
    • On the solution of the coupled Navier-Stokes and Darcy equations
    • Chidyagwai P., and Rivière B. On the solution of the coupled Navier-Stokes and Darcy equations. Comput Methods Appl Mech Eng 198 (2009) 3806-3820
    • (2009) Comput Methods Appl Mech Eng , vol.198 , pp. 3806-3820
    • Chidyagwai, P.1    Rivière, B.2
  • 15
    • 57849144406 scopus 로고    scopus 로고
    • Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow
    • Cesmelioglu A., and Rivière B. Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. J Numer Math 16 4 (2008) 249-280
    • (2008) J Numer Math , vol.16 , Issue.4 , pp. 249-280
    • Cesmelioglu, A.1    Rivière, B.2
  • 17
    • 67349121286 scopus 로고    scopus 로고
    • Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow
    • Cesmelioglu A., and Rivière B. Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. J Sci Comput 40 (2009) 115-140
    • (2009) J Sci Comput , vol.40 , pp. 115-140
    • Cesmelioglu, A.1    Rivière, B.2
  • 18
    • 78149488189 scopus 로고
    • Boundary conditions at a naturally permeable wall
    • Beavers G., and Joseph D. Boundary conditions at a naturally permeable wall. J Fluid Mech 30 (1967) 197-207
    • (1967) J Fluid Mech , vol.30 , pp. 197-207
    • Beavers, G.1    Joseph, D.2
  • 19
    • 0015082428 scopus 로고
    • On the boundary condition at the surface of a porous medium
    • Saffman P. On the boundary condition at the surface of a porous medium. J Fluid Mech 2 (1971) 93-101
    • (1971) J Fluid Mech , vol.2 , pp. 93-101
    • Saffman, P.1
  • 20
    • 0035686552 scopus 로고    scopus 로고
    • Asymptotic analysis of the laminar viscous flow over a porous bed
    • Jager W., Mikelic A., and Neuss N. Asymptotic analysis of the laminar viscous flow over a porous bed. SIAM J Sci Comput 22 (2001) 2006-2028
    • (2001) SIAM J Sci Comput , vol.22 , pp. 2006-2028
    • Jager, W.1    Mikelic, A.2    Neuss, N.3
  • 21
    • 51249186403 scopus 로고
    • A stable finite element for the Stokes equations
    • Arnold D., Brezzi F., and Fortin M. A stable finite element for the Stokes equations. Calcolo 21 4 (1984) 337-344
    • (1984) Calcolo , vol.21 , Issue.4 , pp. 337-344
    • Arnold, D.1    Brezzi, F.2    Fortin, M.3
  • 22
    • 0015566427 scopus 로고
    • A numerical solution of the Navier-Stokes equations using the finite element technique
    • Taylor C., and Hood P. A numerical solution of the Navier-Stokes equations using the finite element technique. Comput Fluids 1 (1973) 73-100
    • (1973) Comput Fluids , vol.1 , pp. 73-100
    • Taylor, C.1    Hood, P.2
  • 24
    • 11244280117 scopus 로고    scopus 로고
    • A discontinuous Galerkin method with non-overlapping domain decomposition for the Stokes and Navier-Stokes Problems
    • Girault V., Rivière B., and Wheeler M. A discontinuous Galerkin method with non-overlapping domain decomposition for the Stokes and Navier-Stokes Problems. Math Comput 74 (2005) 53-84
    • (2005) Math Comput , vol.74 , pp. 53-84
    • Girault, V.1    Rivière, B.2    Wheeler, M.3
  • 25
    • 0029527594 scopus 로고
    • Mixed finite elements for accurate particle tracking in saturated groundwater flow
    • Kaasschieter E. Mixed finite elements for accurate particle tracking in saturated groundwater flow. Adv Water Resour 18 5 (1995) 277-294
    • (1995) Adv Water Resour , vol.18 , Issue.5 , pp. 277-294
    • Kaasschieter, E.1
  • 26
    • 34249820762 scopus 로고    scopus 로고
    • Estimation of penalty parameters for symmetric interior penalty Galerkin methods
    • Epshteyn Y., and Rivière B. Estimation of penalty parameters for symmetric interior penalty Galerkin methods. J Comput Appl Math 206 (2007) 843-872
    • (2007) J Comput Appl Math , vol.206 , pp. 843-872
    • Epshteyn, Y.1    Rivière, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.