fthm

Definitions

  • WordNet 3.6
    • n fthm (mining) a unit of volume (equal to 6 cubic feet) used in measuring bodies of ore
    • n fthm a linear unit of measurement (equal to 6 feet) for water depth
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Usage


In science:

To account for thermal fluctuations, a random force density fthm is introduced in the fluid equations and Fthm in the structure equations.
Stochastic Eulerian Lagrangian Methods for Fluid-Structure Interactions with Thermal Fluctuations
The thermal fluctuations are taken into account by two stochastic fields gthm and Fthm .
Stochastic Eulerian Lagrangian Methods for Fluid-Structure Interactions with Thermal Fluctuations
One particularly convenient feature of this reformulation is that the stochastic driving field Fthm and gthm become independent.
Stochastic Eulerian Lagrangian Methods for Fluid-Structure Interactions with Thermal Fluctuations
In this expression, we let fthm = gthm − Λ[Fthm ] for the particular realized values of the fields gthm and Fthm .
Stochastic Eulerian Lagrangian Methods for Fluid-Structure Interactions with Thermal Fluctuations
The identity fthm = gthm − Λ[Fthm ] could be used to efficiently generate the required stochastic driving fields in the equations for u.
Stochastic Eulerian Lagrangian Methods for Fluid-Structure Interactions with Thermal Fluctuations
As a result, the field fthm can be generated using the Fast Fourier Transform (FFT) with at most O(N log(N )) computational steps.
Stochastic Eulerian Lagrangian Methods for Fluid-Structure Interactions with Thermal Fluctuations
The covariance operator G is associated with the Gaussian field g = [gthm , Fthm , 0]T by (cid:104)g(s)gT (t)(cid:105) = Gδ(t − s).
Stochastic Eulerian Lagrangian Methods for Fluid-Structure Interactions with Thermal Fluctuations
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