메뉴 건너뛰기




Volumn , Issue , 2005, Pages 147-168

Introduction to Numerical Methods for Fluid Flow

Author keywords

ERCOFTAC Guidelines; Eulerian approach; Finite volume method; Fluid flow; Lagrangian approach; Multiblock technique; Partial Differential Equations (PDEs); Property of conservation; Shallow water equations

Indexed keywords


EID: 53649109174     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/0470015195.ch7     Document Type: Chapter
Times cited : (7)

References (36)
  • 1
    • 0004046577 scopus 로고    scopus 로고
    • Guide for the Verification and Validation of Computational Fluid Dynamics Simulations
    • AIAA. AIAA
    • AIAA (1998), Guide for the Verification and Validation of Computational Fluid Dynamics Simulations. AIAA.
    • (1998)
  • 2
    • 0031171448 scopus 로고    scopus 로고
    • Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
    • Anastasiou, K. and C.T. Chan (1997), Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes. International Journal of Numerical Methods in Fluids, 24, 1225-1245.
    • (1997) International Journal of Numerical Methods in Fluids , vol.24 , pp. 1225-1245
    • Anastasiou, K.1    Chan, C.T.2
  • 3
    • 84889463635 scopus 로고    scopus 로고
    • Integrated groundwater and surface water modelling for the río Salado master plan, Argentina, Hydroinformatics 2002
    • Cardiff, UK
    • Aradas, R.D., J.M. Wicks and N.G. Wright (2002), Integrated groundwater and surface water modelling for the río Salado master plan, Argentina, Hydroinformatics 2002. Cardiff, UK.
    • (2002)
    • Aradas, R.D.1    Wicks, J.M.2    Wright, N.G.3
  • 4
    • 5644292255 scopus 로고
    • Statement on the control of numerical accuracy
    • ASME
    • ASME (1993), Statement on the control of numerical accuracy. Journal of Fluids Engineering, 115(3), 339-340.
    • (1993) Journal of Fluids Engineering , vol.115 , Issue.3 , pp. 339-340
  • 5
    • 0017459084 scopus 로고
    • Efficiency of Navier-Stokes solvers
    • Atias, M., M. Wolfstein and M. Israeli (1977), Efficiency of Navier-Stokes solvers. AIAA Journal, 15(2), 263-266.
    • (1977) AIAA Journal , vol.15 , Issue.2 , pp. 263-266
    • Atias, M.1    Wolfstein, M.2    Israeli, M.3
  • 6
    • 0001940359 scopus 로고    scopus 로고
    • Analysis and development of hydraulic models for floodplain flows in floodplain processes
    • in Floodplain Processes, M. Anderson, D. Walling and P. Bates (eds). Chichester: Wiley
    • Bates, P.D., M.G. Anderson, D.A. Price, R.J. Hardy and C.N. Smith (1996), 'Analysis and development of hydraulic models for floodplain flows in floodplain processes', in Floodplain Processes, M. Anderson, D. Walling and P. Bates (eds). Chichester: Wiley.
    • (1996)
    • Bates, P.D.1    Anderson, M.G.2    Price, D.A.3    Hardy, R.J.4    Smith, C.N.5
  • 7
    • 0013122480 scopus 로고    scopus 로고
    • Best practice guidelines, ERCOFTAC Special Interest Group on Quality and Trust in CFD
    • ERCOFTAC Special Interest Group on Quality and Trust in CFD
    • Casey, M. and T. Wintergerste (2000), Best practice guidelines, ERCOFTAC Special Interest Group on Quality and Trust in CFD. ERCOFTAC Special Interest Group on Quality and Trust in CFD.
    • (2000)
    • Casey, M.1    Wintergerste, T.2
  • 8
    • 0012097413 scopus 로고    scopus 로고
    • Computational Fluid Dynamics
    • Cambridge: CUP
    • Chung, T.J. (2002), Computational Fluid Dynamics. Cambridge: CUP.
    • (2002)
    • Chung, T.J.1
  • 10
    • 85040203263 scopus 로고
    • Practical Aspects of Computational River Hydraulics
    • London: Pitman
    • Cunge, J.A., F.M. Holly Jr and A. Verwey (1980), Practical Aspects of Computational River Hydraulics. London: Pitman.
    • (1980)
    • Cunge, J.A.1    Holly Jr, F.M.2    Verwey, A.3
  • 11
    • 4444280758 scopus 로고    scopus 로고
    • MIKE21C: User Guide and Scientific Documentation
    • DHI, Copenhagen: Danish Hydraulic Institute
    • DHI (1998), MIKE21C: User Guide and Scientific Documentation. Copenhagen: Danish Hydraulic Institute.
    • (1998)
  • 12
    • 11144267496 scopus 로고    scopus 로고
    • Application of one dimensional-two dimensional integrated hydraulic model for flood simulation and damage assessment, Hydroinformatics 2002
    • Cardiff: IWA Publishing
    • Dhondia, J.F. and G.S. Stelling (2002), Application of one dimensional-two dimensional integrated hydraulic model for flood simulation and damage assessment, Hydroinformatics 2002. Cardiff: IWA Publishing.
    • (2002)
    • Dhondia, J.F.1    Stelling, G.S.2
  • 14
    • 0030615926 scopus 로고    scopus 로고
    • Three-dimensional modelling of water quality in the Humber estuary
    • Falconer, R.A. and B. Lin (1997), Three-dimensional modelling of water quality in the Humber estuary. Water Research, IAWQ, 31(5), 1092-1102.
    • (1997) Water Research, IAWQ , vol.31 , Issue.5 , pp. 1092-1102
    • Falconer, R.A.1    Lin, B.2
  • 16
    • 85041935441 scopus 로고
    • Recent application of RMA's finite element models for two dimensional hydrodynamics and water quality
    • Second International Conference on Finite Elements in Water Resources. London: Pentech Press
    • King, I.P. and W.R. Norton (1978), Recent application of RMA's finite element models for two dimensional hydrodynamics and water quality. Second International Conference on Finite Elements in Water Resources. London: Pentech Press.
    • (1978)
    • King, I.P.1    Norton, W.R.2
  • 17
    • 0038027098 scopus 로고    scopus 로고
    • The "validation" of hydrodynamic models: Some critical perspectives
    • in Model validation: Perspectives in Hydrological Science, M.G. Anderson and P.D. Bates (eds), Chichester: John Wiley & Sons Ltd
    • Lane, S.N. and K.S. Richards (2001), 'The "validation" of hydrodynamic models: Some critical perspectives', in Model validation: Perspectives in Hydrological Science, M.G. Anderson and P.D. Bates (eds). Chichester: John Wiley & Sons Ltd.
    • (2001)
    • Lane, S.N.1    Richards, K.S.2
  • 18
    • 0018480361 scopus 로고
    • A stable and accurate convective modelling procedure based on quadratic upstream interpolation
    • Leonard, B.P. (1979), A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Computational Methods in Applied Mechanics and Engineering, 19, 59-98.
    • (1979) Computational Methods in Applied Mechanics and Engineering , vol.19 , pp. 59-98
    • Leonard, B.P.1
  • 19
    • 85040880551 scopus 로고
    • Locally modified QUICK scheme for highly convective 2-d and 3-d flows
    • in Numerical Methods in Laminar and Turbulent Flow, Proceedings of the Fifth International Conference. Swansea: Pineridge Press
    • Leonard, B.P. (1987), 'Locally modified QUICK scheme for highly convective 2-d and 3-d flows', in Numerical Methods in Laminar and Turbulent Flow, Proceedings of the Fifth International Conference. Swansea: Pineridge Press.
    • (1987)
    • Leonard, B.P.1
  • 20
    • 0024099483 scopus 로고
    • Simple high-accuracy resolution program for convective modeling of discontinuities
    • Leonard, B.P. (1988), Simple high-accuracy resolution program for convective modeling of discontinuities. International Journal for Numerical Methods in Fluids, 8(10), 1291-1318.
    • (1988) International Journal for Numerical Methods in Fluids , vol.8 , Issue.10 , pp. 1291-1318
    • Leonard, B.P.1
  • 21
    • 0003671760 scopus 로고
    • Numerical Methods for Conservation Laws
    • Basel: Birkhauser Verlag
    • LeVeque, R.J. (1992), Numerical Methods for Conservation Laws. Basel: Birkhauser Verlag.
    • (1992)
    • LeVeque, R.J.1
  • 22
    • 0346001492 scopus 로고    scopus 로고
    • Applied Computational Fluid Dynamics Techniques
    • Chichester: John Wiley & Sons Ltd
    • Löhner, R. (2001), Applied Computational Fluid Dynamics Techniques. Chichester: John Wiley & Sons Ltd.
    • (2001)
    • Löhner, R.1
  • 23
    • 84889344292 scopus 로고    scopus 로고
    • Hydroenvironmental modelling and analysis tool (HEMAT), a GUI-based 2DH hydrodynamic and contaminant transport model on unstructured triangular grids. Fifth International Conference on Hydroinformatics
    • Cardiff, Wales: IWA Publishing
    • Namin, M.M., R.A. Falconer, M. Mohammadian, B. Lin and R. Kamalian (2002), Hydroenvironmental modelling and analysis tool (HEMAT), a GUI-based 2DH hydrodynamic and contaminant transport model on unstructured triangular grids. Fifth International Conference on Hydroinformatics. Cardiff, Wales: IWA Publishing.
    • (2002)
    • Namin, M.M.1    Falconer, R.A.2    Mohammadian, M.3    Lin, B.4    Kamalian, R.5
  • 24
    • 0040631205 scopus 로고    scopus 로고
    • Two-dimensional numerical modelling of flushing processes in water reservoirs
    • Olsen, N.R.B. (1999), Two-dimensional numerical modelling of flushing processes in water reservoirs. Journal of Hydraulic Research, 37(1), 3-16.
    • (1999) Journal of Hydraulic Research , vol.37 , Issue.1 , pp. 3-16
    • Olsen, N.R.B.1
  • 25
    • 33044504607 scopus 로고
    • A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
    • Patankar, S. and D. Spalding (1972), A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. International Journal of Heat Mass Transfer, 15, 1787-1806.
    • (1972) International Journal of Heat Mass Transfer , vol.15 , pp. 1787-1806
    • Patankar, S.1    Spalding, D.2
  • 26
    • 0004002892 scopus 로고    scopus 로고
    • Verification and Validation in Computational Science and Engineering
    • Albuquerque: Hermosa Publishers
    • Roache, P.J. (1998), Verification and Validation in Computational Science and Engineering. Albuquerque: Hermosa Publishers.
    • (1998)
    • Roache, P.J.1
  • 27
    • 0003554096 scopus 로고    scopus 로고
    • Iterative Methods for Sparse Linear Systems
    • Boston: PWS Publishing
    • Saad, Y. (1996), Iterative Methods for Sparse Linear Systems. Boston: PWS Publishing.
    • (1996)
    • Saad, Y.1
  • 28
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
    • Saad, Y. and M.H. Schultz (1986), GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems. SIAM Journal of Science and Statistical Computing, 7, 856-869.
    • (1986) SIAM Journal of Science and Statistical Computing , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 29
    • 0023170391 scopus 로고
    • Control-volume finite element method for heat transfer and fluid flow using co-located variables-1 computational procedure
    • Schneider, G.E. and M.J. Raw (1987), Control-volume finite element method for heat transfer and fluid flow using co-located variables-1 computational procedure. Numerical Heat Transfer, 11, 363-390.
    • (1987) Numerical Heat Transfer , vol.11 , pp. 363-390
    • Schneider, G.E.1    Raw, M.J.2
  • 30
    • 0032078628 scopus 로고    scopus 로고
    • An unstructured finite-volume algorithm for predicting flow in rivers and estuaries
    • Sleigh, P.A., P.H. Gaskell, M. Berzins and N.G. Wright (1998), An unstructured finite-volume algorithm for predicting flow in rivers and estuaries. Computers & Fluids, 27(4), 479-508.
    • (1998) Computers & Fluids , vol.27 , Issue.4 , pp. 479-508
    • Sleigh, P.A.1    Gaskell, P.H.2    Berzins, M.3    Wright, N.G.4
  • 31
    • 0003638214 scopus 로고
    • Numerical Solution of Partial Differential Equations: Finite Difference Methods
    • Oxford University Press, Oxford, UK
    • Smith, G.D. (1978), Numerical Solution of Partial Differential Equations: Finite Difference Methods. Oxford University Press, Oxford, UK.
    • (1978)
    • Smith, G.D.1
  • 32
    • 0003542590 scopus 로고    scopus 로고
    • Riemann Solvers and Numerical Methods for Fluid Dynamics
    • Berlin: Springer Verlag
    • Toro, E.F. (1997), Riemann Solvers and Numerical Methods for Fluid Dynamics. Berlin: Springer Verlag.
    • (1997)
    • Toro, E.F.1
  • 33
    • 0003837914 scopus 로고
    • An Introduction to Computational Fluid Dynamics-The Finite Volume Method
    • London: Longman Group Ltd
    • Versteeg, H. and W. Malalasekera (1995), An Introduction to Computational Fluid Dynamics-The Finite Volume Method. London: Longman Group Ltd.
    • (1995)
    • Versteeg, H.1    Malalasekera, W.2
  • 34
    • 85042837989 scopus 로고
    • Finite elements in water resources
    • Third International Conference on Finite Elements in Water Resources. Mississippi, USA
    • Wang, S.S.Y., V.V. Alonso, C.A. Brebbia, W.G. Gray and G.F. Pinder (1989), Finite elements in water resources. Third International Conference on Finite Elements in Water Resources. Mississippi, USA.
    • (1989)
    • Wang, S.S.Y.1    Alonso, V.V.2    Brebbia, C.A.3    Gray, W.G.4    Pinder, G.F.5
  • 35
    • 84889371208 scopus 로고
    • Multigrid solution of elliptic fluid flow problems, in Department of Mechanical Engineering
    • Unpublished PhD Thesis, University of Leeds
    • Wright, N.G. (1988), Multigrid solution of elliptic fluid flow problems, in Department of Mechanical Engineering. Unpublished PhD Thesis, University of Leeds.
    • (1988)
    • Wright, N.G.1
  • 36
    • 0002726347 scopus 로고
    • Finite elements in the solution of field problems
    • Zienkiewicz, O. and Y. Cheung (1965), Finite elements in the solution of field problems. The Engineer, pp. 507-510.
    • (1965) The Engineer , pp. 507-510
    • Zienkiewicz, O.1    Cheung, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.