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Lagrangian Monte Carlo simulation of the turbulent motion of a pair of particles
Author(s) -
Sawford B. L.
Publication year - 1982
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49710845512
Subject(s) - parametrization (atmospheric modeling) , turbulence , lagrangian , statistical physics , simple (philosophy) , physics , monte carlo method , classical mechanics , homogeneous , particle (ecology) , correlation function (quantum field theory) , motion (physics) , dimension (graph theory) , function (biology) , mechanics , mathematics , theoretical physics , quantum mechanics , philosophy , statistics , oceanography , epistemology , evolutionary biology , geology , dielectric , pure mathematics , biology , radiative transfer
A new scheme for simulating the turbulent motion of a pair of particles is presented. Realistic and self‐consistent inter‐particle correlations are introduced at a fundamental level using a simple parametrization of the two‐particle Lagrangian velocity correlation function. For the simple case of stationary homogeneous turbulence in one‐dimension, the simulation procedure is in excellent agreement with exact theoretical results. Extension of the method to include more general circumstances is straightforward.