메뉴 건너뛰기




Volumn 3, Issue 4, 2007, Pages 525-535

The backward Îto method for the Lagrangian simulation of transport processes with large space variations of the diffusivity

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSIVITY; FLOW VELOCITY; RANDOM WALK METHOD; SPATIAL VARIATION; TRANSPORT PROCESS; TURBULENT FLOW;

EID: 37549027217     PISSN: 18120784     EISSN: 18120792     Source Type: Journal    
DOI: 10.5194/os-3-525-2007     Document Type: Article
Times cited : (13)

References (36)
  • 2
    • 0002520615 scopus 로고
    • A note on concepts of age distribution and transit time in natural reservoirs
    • Bolin, B. and Rodhe, H.: A note on concepts of age distribution and transit time in natural reservoirs, Tellus, 25, 58-62, 1973.
    • (1973) Tellus , vol.25 , pp. 58-62
    • Bolin, B.1    Rodhe, H.2
  • 4
    • 0025639748 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for an advection-diffusion equation
    • Celia, M. A., Russell, T. F., Herrera, I., and Ewing, R. E.: An Eulerian-Lagrangian localized adjoint method for an advection-diffusion equation, Adv. Water Resour., 13(4), 187-206, 1990.
    • (1990) Adv. Water Resour , vol.13 , Issue.4 , pp. 187-206
    • Celia, M.A.1    Russell, T.F.2    Herrera, I.3    Ewing, R.E.4
  • 5
    • 0033935428 scopus 로고    scopus 로고
    • Discrete particle distribution model for advection-diffusion transport
    • Costa, M. and Ferreira, J. S.: Discrete particle distribution model for advection-diffusion transport, J. Hydraul. Eng., 126(7), 525-532, 2000.
    • (2000) J. Hydraul. Eng , vol.126 , Issue.7 , pp. 525-532
    • Costa, M.1    Ferreira, J.S.2
  • 6
    • 31344469686 scopus 로고    scopus 로고
    • The residence time of settling in the surface mixed layer
    • Deleersnijder E., Beckers J. M., and Delhez E. J. M.: The residence time of settling in the surface mixed layer, Environ. Fluid Mech., 6(1), 25-42, 2006a.
    • (2006) Environ. Fluid Mech , vol.6 , Issue.1 , pp. 25-42
    • Deleersnijder, E.1    Beckers, J.M.2    Delhez, E.J.M.3
  • 7
    • 33751061256 scopus 로고    scopus 로고
    • On the behavior of the residence time at the bottom of the mixed layer
    • Deleersnijder E., Beckers J. M., and Delhez E. J. M.: On the behavior of the residence time at the bottom of the mixed layer, Environ. Fluid Mech., 6, 541-547, 2006b.
    • (2006) Environ. Fluid Mech , vol.6 , pp. 541-547
    • Deleersnijder, E.1    Beckers, J.M.2    Delhez, E.J.M.3
  • 9
    • 33646862592 scopus 로고    scopus 로고
    • The boundary layer of the residence time field
    • Delhez, E. J. M. and Deleersnijder, E.: The boundary layer of the residence time field, Ocean Dynam., 56, 139-150, 2006.
    • (2006) Ocean Dynam , vol.56 , pp. 139-150
    • Delhez, E.J.M.1    Deleersnijder, E.2
  • 10
    • 0027790633 scopus 로고
    • A random-walk, particles tracking models for well-mixed estuaries and coastal waters
    • Dimou, K. N. and Adams, E. E.: A random-walk, particles tracking models for well-mixed estuaries and coastal waters, Estuarine, Coastal and Shelf Science, 37, 99-110, 1993.
    • (1993) Estuarine, Coastal and Shelf Science , vol.37 , pp. 99-110
    • Dimou, K.N.1    Adams, E.E.2
  • 11
    • 0001235882 scopus 로고
    • Stochastic modeling of dispersion in shallow water
    • Heemink, A. W.: Stochastic modeling of dispersion in shallow water, Stochastic Hydrol. Hydraul., 4, 161-174, 1990.
    • (1990) Stochastic Hydrol. Hydraul , vol.4 , pp. 161-174
    • Heemink, A.W.1
  • 12
    • 77956936507 scopus 로고
    • The application of Lagrangian particle-tracking technique to modelling of dispersion in the sea
    • edited by: Noye, J
    • Hunter, J. R.: The application of Lagrangian particle-tracking technique to modelling of dispersion in the sea, in: Numerical Modelling: Applications to Marine Systems, edited by: Noye, J., 257-269, 1987.
    • (1987) Numerical Modelling: Applications to Marine Systems , pp. 257-269
    • Hunter, J.R.1
  • 13
    • 0000273731 scopus 로고
    • On the use of random walk models with spatially variable diffusivity
    • Hunter, J. R., Craig P. D., and Phillips H. E.: On the use of random walk models with spatially variable diffusivity, J. Comput. Phys., 106, 366-376, 1993.
    • (1993) J. Comput. Phys , vol.106 , pp. 366-376
    • Hunter, J.R.1    Craig, P.D.2    Phillips, H.E.3
  • 16
    • 0029656620 scopus 로고    scopus 로고
    • Random-walk simulation of transport in heterogeneous porous media: Local mass-conservation problem and implementation methods
    • LaBolle, E. M., Fogg, G. E., and Tompson, A. F. B.: Random-walk simulation of transport in heterogeneous porous media: Local mass-conservation problem and implementation methods, Water Resour. Res., 32(3), 583-593, 1996.
    • (1996) Water Resour. Res , vol.32 , Issue.3 , pp. 583-593
    • LaBolle, E.M.1    Fogg, G.E.2    Tompson, A.F.B.3
  • 17
    • 85036982418 scopus 로고    scopus 로고
    • Konikow, L. F. and Bredehoeft, J. D.: Computer model of two-dimensional solute transport and dispersion in ground water, U.S. Geological survey water-resources investigations book 7, Chapter C2, 1978.
    • Konikow, L. F. and Bredehoeft, J. D.: Computer model of two-dimensional solute transport and dispersion in ground water, U.S. Geological survey water-resources investigations book 7, Chapter C2, 1978.
  • 18
    • 0034099432 scopus 로고    scopus 로고
    • Diffusion processes in composite porous media and their numerical integration by random walks: Generalized stochastic differential equations with discontinuous coefficients
    • LaBolle, E. M., Quastel, J., Fogg, G. E., and Granver, J.: Diffusion processes in composite porous media and their numerical integration by random walks: Generalized stochastic differential equations with discontinuous coefficients, Water Resour. Res., 36(3), 651-662, 2000.
    • (2000) Water Resour. Res , vol.36 , Issue.3 , pp. 651-662
    • LaBolle, E.M.1    Quastel, J.2    Fogg, G.E.3    Granver, J.4
  • 20
    • 15744364008 scopus 로고    scopus 로고
    • Modelling turbulent dispersion of the North Flank of Georges Bank using Lagrangian Methods
    • Proehl, J. A., Lynch, D. E., McGillicuddy Jr., D. J., and Ledwell, J. R.: Modelling turbulent dispersion of the North Flank of Georges Bank using Lagrangian Methods, Cont. Shelf Res., 25, 875-900, 2005.
    • (2005) Cont. Shelf Res , vol.25 , pp. 875-900
    • Proehl, J.A.1    Lynch, D.E.2    McGillicuddy Jr., D.J.3    Ledwell, J.R.4
  • 21
    • 27744553433 scopus 로고    scopus 로고
    • Recipe for 1-D Lagrangian particle tracking models in space-varying diffusivity, Limnol. Oceanogr.
    • Ross, O. N. and Sharples, J.: Recipe for 1-D Lagrangian particle tracking models in space-varying diffusivity, Limnol. Oceanogr.: Methods 2, 289-302, 2004.
    • (2004) Methods , vol.2 , pp. 289-302
    • Ross, O.N.1    Sharples, J.2
  • 22
    • 0027386399 scopus 로고
    • Recent developments in the Lagrangian stochastic theory of turbulent dispersion
    • Sawford, B. L: Recent developments in the Lagrangian stochastic theory of turbulent dispersion, Bound.-Lay. Meteorol., 62, 197-215, 1993.
    • (1993) Bound.-Lay. Meteorol , vol.62 , pp. 197-215
    • Sawford, B.L.1
  • 23
    • 23444453340 scopus 로고    scopus 로고
    • Simulation of the transport of particles in coastal waters using forward and reverse time diffusion
    • Spivakovskaya, D., Heemink, A. W., Milstein, G. N., and Schoenmakers, J. G. M.: Simulation of the transport of particles in coastal waters using forward and reverse time diffusion, Adv. Water Resour., 28, 927-938, 2005.
    • (2005) Adv. Water Resour , vol.28 , pp. 927-938
    • Spivakovskaya, D.1    Heemink, A.W.2    Milstein, G.N.3    Schoenmakers, J.G.M.4
  • 24
    • 34347261049 scopus 로고    scopus 로고
    • Lagrangian modelling of multi-dimensional advection-diffusion with space-varying diffusivities: Theory and idealized test cases
    • Spivakovskaya, D., Deleersnijder, E., and Heemink, A. W.: Lagrangian modelling of multi-dimensional advection-diffusion with space-varying diffusivities: theory and idealized test cases, Ocean Dynam., 57, 189-203, 2007.
    • (2007) Ocean Dynam , vol.57 , pp. 189-203
    • Spivakovskaya, D.1    Deleersnijder, E.2    Heemink, A.W.3
  • 25
    • 33646455620 scopus 로고    scopus 로고
    • An efficient 3D particle model for use in stratified flow
    • Stijnen, J. W, Heemink A. W., and Lin, H. X.: An efficient 3D particle model for use in stratified flow, Int. J. Numer. Meth. Fluids 51, 331-350, 2006.
    • (2006) Int. J. Numer. Meth. Fluids , vol.51 , pp. 331-350
    • Stijnen, J.W.1    Heemink, A.W.2    Lin, H.X.3
  • 26
    • 34547176939 scopus 로고
    • Fundamental concepts of exchange and transport time scales in a coastal sea
    • Takeoka, H.: Fundamental concepts of exchange and transport time scales in a coastal sea, Cont. Shelf Res., 3, 311-326, 1984.
    • (1984) Cont. Shelf Res , vol.3 , pp. 311-326
    • Takeoka, H.1
  • 27
    • 0023093311 scopus 로고
    • Criteria for the selection of stochastic models of particles trajectories in turbulent flow
    • Thomson, D. J.: Criteria for the selection of stochastic models of particles trajectories in turbulent flow, J. Fluid Mech., 180, 529-556, 1987.
    • (1987) J. Fluid Mech , vol.180 , pp. 529-556
    • Thomson, D.J.1
  • 28
    • 0031393030 scopus 로고    scopus 로고
    • Treatment of Interfaces in Random Walk Dispersion Models
    • Thomson, D. J., Physick, W. L., and Maryon, R. H.: Treatment of Interfaces in Random Walk Dispersion Models, J. Appl. Meteorol., 36, 1284-1295, 1997.
    • (1997) J. Appl. Meteorol , vol.36 , pp. 1284-1295
    • Thomson, D.J.1    Physick, W.L.2    Maryon, R.H.3
  • 29
    • 0030713306 scopus 로고    scopus 로고
    • Using random walk models to simulate the vertical distribution of particles in a turbulent water column
    • Visser, A. W.: Using random walk models to simulate the vertical distribution of particles in a turbulent water column, Mar. Ecol. Prog. Ser., 158, 275-281, 1997.
    • (1997) Mar. Ecol. Prog. Ser , vol.158 , pp. 275-281
    • Visser, A.W.1
  • 30
    • 0025680793 scopus 로고
    • A Lagrangian-Eulerian method with zoomable hidden fine-mesh approach to solving advection-dispersion equations
    • Yeh, G. T.: A Lagrangian-Eulerian method with zoomable hidden fine-mesh approach to solving advection-dispersion equations, Water Resour. Res., 26(6), 1133-1144, 1990.
    • (1990) Water Resour. Res , vol.26 , Issue.6 , pp. 1133-1144
    • Yeh, G.T.1
  • 31
    • 0027789526 scopus 로고
    • An efficient Eulerian-Lagrangian method for solving solute transport problems in steady and transient flow fields
    • Zhang, R., Huang, K., and van Geruchten, M. T.: An efficient Eulerian-Lagrangian method for solving solute transport problems in steady and transient flow fields, Water Resour. Res., 28(12), 4131-4138, 1993.
    • (1993) Water Resour. Res , vol.28 , Issue.12 , pp. 4131-4138
    • Zhang, R.1    Huang, K.2    van Geruchten, M.T.3
  • 33
    • 0003601415 scopus 로고    scopus 로고
    • MT3DMS: A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion and Chemical Reactions of Contaminants in Groundwater Systems; Documentation and User's Guide
    • SERDP-99-1, U.S. Army Engineer Research and Development Center, Vicksburg, MS
    • Zheng, C. and Wang, P. P.: MT3DMS: A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion and Chemical Reactions of Contaminants in Groundwater Systems; Documentation and User's Guide, Contract Report SERDP-99-1, U.S. Army Engineer Research and Development Center, Vicksburg, MS, 1999.
    • (1999) Contract Report
    • Zheng, C.1    Wang, P.P.2
  • 34
    • 0343701282 scopus 로고
    • Mixing and flushing of tidal embrayments in the Western Dutch Wadden Sea, Part I: Distribution of salinity and calculation of mixing time scales
    • Zimmerman, J. F. T.: Mixing and flushing of tidal embrayments in the Western Dutch Wadden Sea, Part I: distribution of salinity and calculation of mixing time scales, Neth. J. Sea Res., 10, 149-191, 1976.
    • (1976) Neth. J. Sea Res , vol.10 , pp. 149-191
    • Zimmerman, J.F.T.1
  • 35
    • 85052763400 scopus 로고
    • Estuarine residence time
    • edited by: Kjerve, B, CRC Press, Boca Raton, FL
    • Zimmerman, J. F. T.: Estuarine residence time, in: Hydrodynamics of estuaries, edited by: Kjerve, B., 1, 75-84, CRC Press, Boca Raton, FL, 1988
    • (1988) Hydrodynamics of estuaries , vol.1 , pp. 75-84
    • Zimmerman, J.F.T.1
  • 36
    • 0035841068 scopus 로고    scopus 로고
    • Simulation of pollutant transport using a particle method
    • Zimmermann, S., Koumoutsakos, P., and Kinzelbach, W.: Simulation of pollutant transport using a particle method, J. Comput. Phys., 173(1), 322-347, 2001.
    • (2001) J. Comput. Phys , vol.173 , Issue.1 , pp. 322-347
    • Zimmermann, S.1    Koumoutsakos, P.2    Kinzelbach, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.