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Volumn 39, Issue 3-4, 2011, Pages 351-361

Assessing Lagrangian schemes for simulating diffusion on non-flat isopycnal surfaces

Author keywords

Diffusion equation; Lagrangian modelling; Large scale model; Non flat isopycnal surfaces; Stochastic processes

Indexed keywords

DIFFUSION EQUATIONS; LAGRANGIAN; LARGE-SCALE MODELS; NON-FLAT ISOPYCNAL SURFACES; STOCHASTIC PROCESS;

EID: 80051473875     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2011.05.008     Document Type: Article
Times cited : (10)

References (28)
  • 1
    • 0000643179 scopus 로고
    • A brief account of microscopical observations made in the months of June, July and August, 1827, on the particles contained in the pollen of plants; and on the general existence of active molecules in organic and inorganic bodies
    • Brown R. A brief account of microscopical observations made in the months of June, July and August, 1827, on the particles contained in the pollen of plants; and on the general existence of active molecules in organic and inorganic bodies. Phil. Mag. 1827, 4:161-173.
    • (1827) Phil. Mag. , vol.4 , pp. 161-173
    • Brown, R.1
  • 2
    • 0003223005 scopus 로고    scopus 로고
    • Another reason why simple discretization of rotated diffusion operators cause problem in ocean models: comment on "Isoneutral diffusion in a z-coordinate ocean model"
    • Beckers J.M., Burchard H., Campin J.M., Deleersnijder E., Mathieu P.P. Another reason why simple discretization of rotated diffusion operators cause problem in ocean models: comment on "Isoneutral diffusion in a z-coordinate ocean model". J. Phys. Oceanogr. 1998, 28:1552-1559.
    • (1998) J. Phys. Oceanogr. , vol.28 , pp. 1552-1559
    • Beckers, J.M.1    Burchard, H.2    Campin, J.M.3    Deleersnijder, E.4    Mathieu, P.P.5
  • 5
    • 80051471617 scopus 로고    scopus 로고
    • A particle model for simulation of sediment transport in coastal waters
    • Charles W.M., Heemink A.W., Verlaan M. A particle model for simulation of sediment transport in coastal waters. NAMP 2004, 8:131-138.
    • (2004) NAMP , vol.8 , pp. 131-138
    • Charles, W.M.1    Heemink, A.W.2    Verlaan, M.3
  • 7
    • 54049083117 scopus 로고    scopus 로고
    • Coloured noise for dispersion of contaminants in shallow waters
    • Charles W.M., van den Berg E., Heemink A.W. Coloured noise for dispersion of contaminants in shallow waters. Appl. Math. Modell. 2009, 33:1158-1172.
    • (2009) Appl. Math. Modell. , vol.33 , pp. 1158-1172
    • Charles, W.M.1    van den Berg, E.2    Heemink, A.W.3
  • 8
    • 69249213988 scopus 로고    scopus 로고
    • Adaptive stochastic numerical scheme in parallel random walk models for transport problems in shallow water
    • Charles W.M., van den Berg E., Lin H.X., Heemink A.W. Adaptive stochastic numerical scheme in parallel random walk models for transport problems in shallow water. Math. Comput. Modell. 2009, 50:1177-1187.
    • (2009) Math. Comput. Modell. , vol.50 , pp. 1177-1187
    • Charles, W.M.1    van den Berg, E.2    Lin, H.X.3    Heemink, A.W.4
  • 10
    • 0000472452 scopus 로고
    • On the molecular-kinetic theory of heat required by the motion of suspended particles in stationary liquids
    • Einstein A. On the molecular-kinetic theory of heat required by the motion of suspended particles in stationary liquids. Annalen der Physik 1905, 17:549-560.
    • (1905) Annalen der Physik , vol.17 , pp. 549-560
    • Einstein, A.1
  • 11
    • 75949118695 scopus 로고    scopus 로고
    • Suspended particulate dynamics in a particle framework
    • Gräwe U., Wolff J.O. Suspended particulate dynamics in a particle framework. Environ. Fluid Mech. 2010, 10:21-39.
    • (2010) Environ. Fluid Mech. , vol.10 , pp. 21-39
    • Gräwe, U.1    Wolff, J.O.2
  • 12
    • 78649949401 scopus 로고    scopus 로고
    • Implementation of higher-order particle-tracking schemes in a water column model
    • Gräwe U. Implementation of higher-order particle-tracking schemes in a water column model. Ocean Modell. 2011, 36:80-89.
    • (2011) Ocean Modell. , vol.36 , pp. 80-89
    • Gräwe, U.1
  • 15
    • 0024029607 scopus 로고
    • Efficient and portable combined random number generators
    • L'Ecuyer P. Efficient and portable combined random number generators. CACM: Commun. ACM 1988, 31.
    • (1988) CACM: Commun. ACM , pp. 31
    • L'Ecuyer, P.1
  • 16
    • 0030376929 scopus 로고    scopus 로고
    • Maximally equidistributed combined Tausworthe generators
    • L'Ecuyer P. Maximally equidistributed combined Tausworthe generators. Math. Comput. 1996, 65(213):203-213.
    • (1996) Math. Comput. , vol.65 , Issue.213 , pp. 203-213
    • L'Ecuyer, P.1
  • 17
    • 80051475052 scopus 로고
    • Toward a universal random number generator, Technical report FSU-SCRI-87-50, Florida State University.
    • Marsaglia, G., Zaman, A., 1987. Toward a universal random number generator, Technical report FSU-SCRI-87-50, Florida State University.
    • (1987)
    • Marsaglia, G.1    Zaman, A.2
  • 18
    • 0003074014 scopus 로고
    • 'Continuous Markov process and stochastic equations'
    • Maruyama G. 'Continuous Markov process and stochastic equations'. Rend. Circolo Math. Palermo 1995, 4:48-90.
    • (1995) Rend. Circolo Math. Palermo , vol.4 , pp. 48-90
    • Maruyama, G.1
  • 19
    • 0000532550 scopus 로고
    • Approximate integration of Stochastic differential equations
    • Milstein G.N. Approximate integration of Stochastic differential equations. Theory Prob. Appl. 1974, 19:557-562.
    • (1974) Theory Prob. Appl. , vol.19 , pp. 557-562
    • Milstein, G.N.1
  • 20
    • 0031599142 scopus 로고    scopus 로고
    • Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator
    • Matsumoto M., Nishimura T. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model Comput. Simul. 1998, 8(1):3-30.
    • (1998) ACM Trans. Model Comput. Simul. , vol.8 , Issue.1 , pp. 3-30
    • Matsumoto, M.1    Nishimura, T.2
  • 21
    • 0032051733 scopus 로고    scopus 로고
    • What is wrong with isopycnal diffusion in the world ocean models?
    • Mathieu P.P., Deleersnijder E. What is wrong with isopycnal diffusion in the world ocean models?. Appl. Math Model. 1998, 22:367-378.
    • (1998) Appl. Math Model. , vol.22 , pp. 367-378
    • Mathieu, P.P.1    Deleersnijder, E.2
  • 22
    • 0007395028 scopus 로고    scopus 로고
    • Accuracy and stability of the discretised isopycnal-mixing equation
    • Mathieu P.P., Deleersnijder E., Beckers J.M. Accuracy and stability of the discretised isopycnal-mixing equation. Appl. Math. Lett. 1999, 12:81-88.
    • (1999) Appl. Math. Lett. , vol.12 , pp. 81-88
    • Mathieu, P.P.1    Deleersnijder, E.2    Beckers, J.M.3
  • 23
    • 4544235762 scopus 로고    scopus 로고
    • Xorshift RNGs
    • Marsaglia G. Xorshift RNGs. J. Stat. Softw. 2003, 8(14):1-6.
    • (2003) J. Stat. Softw. , vol.8 , Issue.14 , pp. 1-6
    • Marsaglia, G.1
  • 24
    • 27744553433 scopus 로고    scopus 로고
    • Recipe for 1-D Lagrangian particle tracking models in space-varying diffusivity
    • Ross O.N., Sharples J. Recipe for 1-D Lagrangian particle tracking models in space-varying diffusivity. Limnol. Oceangr. Meth. 2004, 2:289-302.
    • (2004) Limnol. Oceangr. Meth. , vol.2 , pp. 289-302
    • Ross, O.N.1    Sharples, J.2
  • 25
    • 85032633690 scopus 로고
    • Oceanic isopycnal mixing by coordinate rotation
    • Redi M.H. Oceanic isopycnal mixing by coordinate rotation. J. Phys. Oceanogr. 1982, (12):1154-1158.
    • (1982) J. Phys. Oceanogr. , Issue.12 , pp. 1154-1158
    • Redi, M.H.1
  • 27
    • 23444453340 scopus 로고    scopus 로고
    • Simulation of the transport particles in coastal waters using forward and reverse time diffusion
    • Spivakovskaya D., Heemink A.W., Milstein G.N., Schoenmakers J.G.M. Simulation of the transport particles in coastal waters using forward and reverse time diffusion. Adv. Water Resour. 2005, 28:927-938.
    • (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
  • 28
    • 34347261049 scopus 로고    scopus 로고
    • Lagrangian modelling of multidimensional advection-diffusion with space-varying diffusivites: theory and idealized test cases
    • Spivakovskaya D., Heemink A.W., Deleersnijder E. Lagrangian modelling of multidimensional advection-diffusion with space-varying diffusivites: theory and idealized test cases. Ocean Dyn. 2007, 57:189-203.
    • (2007) Ocean Dyn. , vol.57 , pp. 189-203
    • Spivakovskaya, D.1    Heemink, A.W.2    Deleersnijder, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.