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Section LL index21-29 of 372 terms

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  • Lagrangian correlation—The correlation between the properties of a flow following a single parcel of fluid through its space and time variations.
    Compare Eulerian correlation; see correlation coefficient.
  • Lagrangian current measurement—In oceanography, a current measurement obtained from the determination of the position of a drifter at certain time intervals, so that the mean velocity over that interval can be calculated.
  • Lagrangian equations of motion—Differential equations that determine the evolution of a general dynamical system.
    These are derived using the calculus of variations to minimize the Lagrangian functional equivalent to the time integral of the difference between the kinetic and potential energies with respect to variations in the evolution of the system.
  • Lagrangian equations—Any of the fundamental equations of hydrodynamics expressed in Lagrangian coordinates.
    In the Lagrangian description, the independent variables are time and a set of particle labels (such as the initial position of each particle). Although the Lagrangian description is employed less frequently than the Eulerian description, it can be particularly useful in combined chemistry/ dynamics problems such as stratosphere/troposphere exchange along isentropic surfaces that intersect the tropopause.
              Salmon, R., 1998: Lectures on Geophysical Fluid Dynamics, Oxford University Press, 5–6.
  • Lagrangian float—A float that is used to obtain Lagrangian (following a fluid particle, thus drifting) current measurements.
    See Swallow float, drifter.
  • Lagrangian hydrodynamic equations—Hydrodynamic equations of motion, using coordinates of fluid particles as the dependent variables.
    The independent variables are time and coordinates representing the fluid particles themselves, for example, their positions at time t = 0.
  • Lagrangian mean current—The current determined by dividing the displacement of a fluid particle by the time traveled.
  • Lagrangian timescale—The mean time for an air parcel to be displaced from one location to another.
  • Lagrangian wave—Same as shallow water wave.
  • laheimar—Severe squalls during the change of seasons in October and November in Arabia.

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