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Volumn 31, Issue 3, 2008, Pages 513-524

3D finite volume groundwater and heat transport modeling with non-orthogonal grids, using a coordinate transformation method

Author keywords

Benchmark; Finite difference method; Finite volume method; Groundwater flow; Heat transport; Non orthogonal grid; Verification

Indexed keywords

ADVECTION; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; FINITE VOLUME METHOD; GROUNDWATER FLOW; HEAT CONDUCTION; NAVIER STOKES EQUATIONS; POTENTIAL FLOW;

EID: 39149133113     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2007.11.002     Document Type: Article
Times cited : (29)

References (35)
  • 2
    • 27944495958 scopus 로고    scopus 로고
    • Heat as a ground water tracer
    • Anderson M.P. Heat as a ground water tracer. Ground Water 43 6 (2005) 951-968
    • (2005) Ground Water , vol.43 , Issue.6 , pp. 951-968
    • Anderson, M.P.1
  • 5
    • 39149094457 scopus 로고    scopus 로고
    • Demirdžić IA. A finite volume method for computation of fluid flow in complex geometries. Phd thesis, University of London, Imperial College; 1982.
    • Demirdžić IA. A finite volume method for computation of fluid flow in complex geometries. Phd thesis, University of London, Imperial College; 1982.
  • 6
    • 0036704552 scopus 로고    scopus 로고
    • Variable-density flow and transport in porous media: approaches and challenges
    • Diersch H.J.-G., and Kolditz O. Variable-density flow and transport in porous media: approaches and challenges. Adv Water Resoucr 25 (2002) 899-944
    • (2002) Adv Water Resoucr , vol.25 , pp. 899-944
    • Diersch, H.J.-G.1    Kolditz, O.2
  • 7
    • 0000256647 scopus 로고
    • Theoretical analysis of forced convective heat transfer in regional ground-water flow
    • Domenico P.A., and Palciauskas V.V. Theoretical analysis of forced convective heat transfer in regional ground-water flow. Geol Soc Am Bull 84 (1973) 3803-3814
    • (1973) Geol Soc Am Bull , vol.84 , pp. 3803-3814
    • Domenico, P.A.1    Palciauskas, V.V.2
  • 8
    • 0002478314 scopus 로고    scopus 로고
    • M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids
    • Edwards M.G. M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids. J Comput Phys 160 (2000) 1-28
    • (2000) J Comput Phys , vol.160 , pp. 1-28
    • Edwards, M.G.1
  • 10
    • 39149106917 scopus 로고    scopus 로고
    • Fletcher C. Computational techniques for fluid dynamics: vol. 1: fundamental and general techniques, second ed. - fourth printing. Berlin: Springer; 2000.
    • Fletcher C. Computational techniques for fluid dynamics: vol. 1: fundamental and general techniques, second ed. - fourth printing. Berlin: Springer; 2000.
  • 11
    • 39149144170 scopus 로고    scopus 로고
    • Fletcher C. Computational techniques for fluid dynamics: vol. 2: specific techniques for different flow categories, second ed. - fourth printing. Berlin: Springer; 2000.
    • Fletcher C. Computational techniques for fluid dynamics: vol. 2: specific techniques for different flow categories, second ed. - fourth printing. Berlin: Springer; 2000.
  • 12
    • 39149118481 scopus 로고    scopus 로고
    • Finite volume discretizations of density driven flows in porous media
    • Hermes, Paris p. 433-40
    • Frolkovic P. Finite volume discretizations of density driven flows in porous media. Finite volumes for complex applications (1996), Hermes, Paris p. 433-40
    • (1996) Finite volumes for complex applications
    • Frolkovic, P.1
  • 13
    • 70350511699 scopus 로고    scopus 로고
    • Automatic mesh generation and finite element computation
    • Ciarlet P., and Lions J. (Eds), Elsevier Science B.V., Amsterdam, Lausanne, New York
    • George P. Automatic mesh generation and finite element computation. In: Ciarlet P., and Lions J. (Eds). Handbook of numerical analysis, finite element methods (part 2), numerical methods for solids (part 2) vol. IV (1996), Elsevier Science B.V., Amsterdam, Lausanne, New York 69-190
    • (1996) Handbook of numerical analysis, finite element methods (part 2), numerical methods for solids (part 2) , vol.IV , pp. 69-190
    • George, P.1
  • 14
    • 39149088146 scopus 로고    scopus 로고
    • Graef J, Shivaji R, Soni B, Zhu J, editors. Governing equations of fluid mechanics in physical curvilinear coordinate system, differential equations and computational simulations, conference 01, 1997; 1997.
    • Graef J, Shivaji R, Soni B, Zhu J, editors. Governing equations of fluid mechanics in physical curvilinear coordinate system, differential equations and computational simulations, conference 01, 1997; 1997.
  • 15
    • 33746557757 scopus 로고    scopus 로고
    • Grid optimization methods for quality improvement and adaption
    • Thompson J., Soni B., and Weatherill N. (Eds), CRC Press LLC, Florida, USA
    • Jacquotte O.-P. Grid optimization methods for quality improvement and adaption. In: Thompson J., Soni B., and Weatherill N. (Eds). Handbook of grid generation (1998), CRC Press LLC, Florida, USA 33-1-33-33
    • (1998) Handbook of grid generation
    • Jacquotte, O.-P.1
  • 16
    • 0032007495 scopus 로고    scopus 로고
    • Coupled groundwater flow and transport: 1. Verification of variable density flow and transport models
    • Kolditz O., Ratke R., Diersch H.-J., and Zielke W. Coupled groundwater flow and transport: 1. Verification of variable density flow and transport models. Adv Water Resour 21 (1998) 27-46
    • (1998) Adv Water Resour , vol.21 , pp. 27-46
    • Kolditz, O.1    Ratke, R.2    Diersch, H.-J.3    Zielke, W.4
  • 17
    • 33750947856 scopus 로고    scopus 로고
    • Mathematical development and verification of a non-orthogonal finite volume model for groundwater flow applications
    • Loudyi D., Falconer R., and Lin B. Mathematical development and verification of a non-orthogonal finite volume model for groundwater flow applications. Adv Water Resour 30 1 (2007) 29-42
    • (2007) Adv Water Resour , vol.30 , Issue.1 , pp. 29-42
    • Loudyi, D.1    Falconer, R.2    Lin, B.3
  • 18
    • 0004222008 scopus 로고    scopus 로고
    • Oxford University Press, New York
    • Mallet J. Geomodeling (2002), Oxford University Press, New York
    • (2002) Geomodeling
    • Mallet, J.1
  • 19
    • 0016921025 scopus 로고
    • An integrated finite difference method for analyzing fluid flow in porous media
    • Narasimhan T.N., and Witherspoon P.A. An integrated finite difference method for analyzing fluid flow in porous media. Water Resour Res 12 1 (1976) 57-64
    • (1976) Water Resour Res , vol.12 , Issue.1 , pp. 57-64
    • Narasimhan, T.N.1    Witherspoon, P.A.2
  • 21
    • 39149108626 scopus 로고    scopus 로고
    • Thermal insulation by low thermal conductivity shales: implications for basin-scale fluid flow and heat transport
    • Förster A., and Merriam D. (Eds), Kluwer, New York
    • Nunn J., Guichang L., and Zhang L. Thermal insulation by low thermal conductivity shales: implications for basin-scale fluid flow and heat transport. In: Förster A., and Merriam D. (Eds). Geothermics in basin analysis (1999), Kluwer, New York 117-130
    • (1999) Geothermics in basin analysis , pp. 117-130
    • Nunn, J.1    Guichang, L.2    Zhang, L.3
  • 23
    • 39149121315 scopus 로고    scopus 로고
    • Perić M. A finite volume method for the prediction of three-dimensional fluid flow in complex ducts. Phd thesis, University of London, Imperial College; 1985.
    • Perić M. A finite volume method for the prediction of three-dimensional fluid flow in complex ducts. Phd thesis, University of London, Imperial College; 1985.
  • 25
    • 33947125088 scopus 로고    scopus 로고
    • Numerical evaluation of thermal response tests
    • Signorelli S., Bassetti S., Pahud D., and Kohl T. Numerical evaluation of thermal response tests. Geothermics 36 2 (2007) 141-166
    • (2007) Geothermics , vol.36 , Issue.2 , pp. 141-166
    • Signorelli, S.1    Bassetti, S.2    Pahud, D.3    Kohl, T.4
  • 26
    • 0037428022 scopus 로고    scopus 로고
    • Comparison of finite difference and finite element solutions to the variably saturated flow equation
    • Simpson M., and Clement T. Comparison of finite difference and finite element solutions to the variably saturated flow equation. J Hydrol 270 (2003) 49-64
    • (2003) J Hydrol , vol.270 , pp. 49-64
    • Simpson, M.1    Clement, T.2
  • 28
    • 0003909674 scopus 로고    scopus 로고
    • Fundamental concepts and approaches
    • Thompson J., Soni B., and Weatherill N. (Eds), CRC Press LLC, Florida, USA p. 1-21-1-30
    • Thompson J., and Weatherill N. Fundamental concepts and approaches. In: Thompson J., Soni B., and Weatherill N. (Eds). Handbook of grid generation (1998), CRC Press LLC, Florida, USA p. 1-21-1-30
    • (1998) Handbook of grid generation
    • Thompson, J.1    Weatherill, N.2
  • 29
    • 0002115991 scopus 로고
    • An analysis of finite-difference and finite-volume formulations of conservation laws
    • Vinokur M. An analysis of finite-difference and finite-volume formulations of conservation laws. J Comput Phys 81 (1989) 1-52
    • (1989) J Comput Phys , vol.81 , pp. 1-52
    • Vinokur, M.1
  • 30
    • 0023518042 scopus 로고
    • Variable density flow and solute transport simulation of regional aguifers containing a narrow freshwater saltwater transition zone
    • Voss C., and Souza W. Variable density flow and solute transport simulation of regional aguifers containing a narrow freshwater saltwater transition zone. WRR 23 (1987) 1851-1866
    • (1987) WRR , vol.23 , pp. 1851-1866
    • Voss, C.1    Souza, W.2
  • 32
    • 0036592296 scopus 로고    scopus 로고
    • The IAPWS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use
    • Wagner W., and Pruß A. The IAPWS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use. J Phys Chem Ref Data 31 (2002) 387-535
    • (2002) J Phys Chem Ref Data , vol.31 , pp. 387-535
    • Wagner, W.1    Pruß, A.2
  • 34
    • 3342925797 scopus 로고    scopus 로고
    • Factors controlling free thermal convection in faults in sedimentary basins: implications for the formation of zinc-lead mineral deposits
    • Yang J., Large R.R., and Bull S.W. Factors controlling free thermal convection in faults in sedimentary basins: implications for the formation of zinc-lead mineral deposits. Geofluids 4 3 (2004) 237-247
    • (2004) Geofluids , vol.4 , Issue.3 , pp. 237-247
    • Yang, J.1    Large, R.R.2    Bull, S.W.3


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