Simulating vertical turbulent dispersal with finite volumes and binned random walks

Marine Ecology Progress Series

Volumn 347, Issue , 2007, Pages 145-153

  Thygesen, Uffe Høgsbro ^a   Ådlandsvik, Bjørn ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b INSTITUTE OF MARINE RESEARCH   (Norway)

Author keywords

Dispersal; Individual based models; Random walk

Indexed keywords

CIRCULATION MODELING; DIFFUSIVITY; DISPERSAL; EULERIAN ANALYSIS; FINITE VOLUME METHOD; FISH; RANDOM WALK METHOD; TRACER; TRACKING; TURBULENCE;

EID: 36248943432     PISSN: 01718630     EISSN: None     Source Type: Journal    
DOI: 10.3354/meps06975     Document Type: Article

References (22)

1. Ådlandsvik B, Coombs S, Sundby S, Temple G (2001) Bouyancy and vertical distribution of eggs and larvae of blue whiting (Micromesistius poutassou): observations and modelling. Fish Res 50:59-72
2. Boyra G, Rueda L, Coombs SH, Sundby S, Ådlandsvik B, Uriarte A (2003) Modelling the vertical distribution of eggs of anchovy (Engraulis encrasicolus) and sardine (Sardina pilchardus). Fish Oceanogr 12:381-395
3. Brickman D, Smith PC (2002) Lagrangian stochastic modeling in coastal oceanography. J Atmos Ocean Technol 19: 83-99
4. Christensen A, Daewel U, Jensen H, Mosegaard H, St. John M, Schrum C (2007) Hydrodynamic backtracking of fish larvae by individual-based modelling. Mar Ecol Prog Ser 347:221-232
5. Csanady GT (1973) Turbulent diffusion in the environment. Springer, Heidelberg
6. Ferziger JH, Perić (2002) Computational methods for fluid dynamics, 3rd edn. Springer, Heidelberg
7. Gardiner CW (1985) Handbook of stochastic models, 2nd edn. Springer, Heidelberg
8. Garrett C (2006) Turbulent dispersion in the ocean. Prog Oceanogr 70:113-125
9. Grimmett GR, Stirzaker DR (1992) Probability and random processes, 2nd edn. Oxford University Press, Oxford
10. Grünbaum D (1999) Advection-diffusion equations for generalized tactic searching behaviors. J Math Biol 38:169-194
11. Kloeden PE, Platen E (1995) Numerical solution of stochastic differential equations. Springer, Heidelberg
12. Moler C, Van Loan C (2003) Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM (Soc Ind Appl Math) Rev 45(1);3-49
13. Okubo A, Levin S (2001) Diffusion and ecological problems: modern perspectives. Springer, Heidelberg
14. Ross ON, Sharples J (2004) Recipe for 1-D Lagrangian particle tracking models in space-varying diffusivity. Limnol Oceanogr Methods 2:289-302
15. Taylor GI (1954) The dispersion of matter in turbulent flow through a tube. Proc R Soc Lond A 223:446-468
16. Thomson DJ (1987) Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J Fluid Mech 180:529-556
17. Thygesen UH, Nilsson AFN, Andersen KH (2006) Eulerian techniques for individual-based models based on additive processes. J Mar Syst doi 10.1016/j.marsys.2006. 10.005
18. Visser AW (1997) Using random walk models to simulate the vertical distribution of particles in a turbulent water column. Mar Ecol Prog Ser 158:275-281
19. Visser AW, Thygesen UH (2003) Random motility of plankton: diffusive and aggregative contributions. J Plankton Res 25(9):1157-1168
20. Vreugdenhil CB, Koren B (eds) (1993) Numerical methods for advection-diffusion problems, Vol 45. Notes on numerical fluid mechanics. Vieweg, Wiesbaden
21. Wilson JD, Flesch TK (1993) Flow boundaries in random flight dispersion models: enforcing the well-mixed condition. J Appl Meteorol 32:1695-1707
22. Yamazaki H, Mackas DL, Denman KL (2002) Coupling small-scale physical process with biology. In: Robinson AR, McCarthy JJ, Rothschild BJ (eds) The sea, Vol 12, Chap 3. John Wiley & Sons, New York, p 51-112