Synthetizing hydrodynamic turbulence from noise: formalism and applications to plankton dynamics

F  Sagues; R  Reigada; J M  Sancho; R M  Hillary; M A  Bees

Synthetizing hydrodynamic turbulence from noise: formalism and applications to plankton dynamics

F Sagues, R Reigada, J M Sancho, R M Hillary, M A Bees

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian 2D turbulent flows by using linear stochastic partial differential equations, where the noise term acts as a random force of well-prescribed statistics. This methodology leads to a divergence-free, isotropic, stationary and homogeneous velocity field, whose characteristic parameters are well reproduced, in particular the kinematic viscosity and energy spectrum. This practical approach to tailor a turbulent flow is justified by its versatility when analizing different physical processes occurring in advectely mixed systems. Here, we focuss on an application to study the dynamics of Planktonic populations in the ocean.

Original language	English
Title of host publication	UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS
Editors	SM Bezrukov
Place of Publication	MELVILLE
Publisher	American Institute of Physics
Pages	531-538
Number of pages	8
ISBN (Print)	0-7354-0127-6
Publication status	Published - 2003
Event	3rd International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology and High Technology - BETHESDA Duration: 3 Sept 2002 → 6 Sept 2002

Conference

Conference	3rd International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology and High Technology
City	BETHESDA
Period	3/09/02 → 6/09/02

Cite this

@inproceedings{4325caaf8237494798830fe433ba28bb,

title = "Synthetizing hydrodynamic turbulence from noise: formalism and applications to plankton dynamics",

abstract = "We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian 2D turbulent flows by using linear stochastic partial differential equations, where the noise term acts as a random force of well-prescribed statistics. This methodology leads to a divergence-free, isotropic, stationary and homogeneous velocity field, whose characteristic parameters are well reproduced, in particular the kinematic viscosity and energy spectrum. This practical approach to tailor a turbulent flow is justified by its versatility when analizing different physical processes occurring in advectely mixed systems. Here, we focuss on an application to study the dynamics of Planktonic populations in the ocean.",

author = "F Sagues and R Reigada and Sancho, {J M} and Hillary, {R M} and Bees, {M A}",

year = "2003",

language = "English",

isbn = "0-7354-0127-6",

pages = "531--538",

editor = "SM Bezrukov",

booktitle = "UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS",

publisher = "American Institute of Physics",

address = "United States",

note = "3rd International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology and High Technology ; Conference date: 03-09-2002 Through 06-09-2002",

}

Sagues, F, Reigada, R, Sancho, JM, Hillary, RM & Bees, MA 2003, Synthetizing hydrodynamic turbulence from noise: formalism and applications to plankton dynamics. in SM Bezrukov (ed.), UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS. American Institute of Physics, MELVILLE, pp. 531-538, 3rd International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology and High Technology, BETHESDA, 3/09/02.

TY - GEN

T1 - Synthetizing hydrodynamic turbulence from noise

T2 - 3rd International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology and High Technology

AU - Sagues, F

AU - Reigada, R

AU - Sancho, J M

AU - Hillary, R M

AU - Bees, M A

PY - 2003

Y1 - 2003

N2 - We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian 2D turbulent flows by using linear stochastic partial differential equations, where the noise term acts as a random force of well-prescribed statistics. This methodology leads to a divergence-free, isotropic, stationary and homogeneous velocity field, whose characteristic parameters are well reproduced, in particular the kinematic viscosity and energy spectrum. This practical approach to tailor a turbulent flow is justified by its versatility when analizing different physical processes occurring in advectely mixed systems. Here, we focuss on an application to study the dynamics of Planktonic populations in the ocean.

AB - We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian 2D turbulent flows by using linear stochastic partial differential equations, where the noise term acts as a random force of well-prescribed statistics. This methodology leads to a divergence-free, isotropic, stationary and homogeneous velocity field, whose characteristic parameters are well reproduced, in particular the kinematic viscosity and energy spectrum. This practical approach to tailor a turbulent flow is justified by its versatility when analizing different physical processes occurring in advectely mixed systems. Here, we focuss on an application to study the dynamics of Planktonic populations in the ocean.

M3 - Conference contribution

SN - 0-7354-0127-6

SP - 531

EP - 538

BT - UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS

A2 - Bezrukov, SM

PB - American Institute of Physics

CY - MELVILLE

Y2 - 3 September 2002 through 6 September 2002

ER -