NDLI: Timestep Buffering to Preserve the Well-Mixed Condition in Lagrangian Stochastic Simulations

Content Provider	Springer Nature Link
Author	Postma, John V.
Copyright Year	2015
Abstract	Using one or more physical time scales as a basis for timestep ( $$\Delta t$$ ) selection is common in Lagrangian stochastic simulations of particle dispersion. This approach generally works well when the velocity statistics (and thus $$\Delta t$$ ) vary slowly but problems such as the $$\Delta t$$ bias and imbalanced particle fluxes at interfaces can occur when the velocity statistics vary rapidly. These problems can result in violations of the well-mixed condition (WMC) and inaccurate predictions. An additional problem is that unrealistically high (or rogue) particle velocities can occur if $$\Delta t$$ is too large. A small constant timestep can be used to reduce or eliminate these problems but incurs the penalty of considerable computational cost. A timestep-buffering technique that eliminates abrupt changes in a variable timestep through linear interpolation is demonstrated to be effective at satisfying the WMC and minimizing rogue velocities for particle dispersion in an idealized one-dimensional turbulence regime with a steep gradient. The technique is also shown to be effective when applied to a more realistic three-dimensional system.
Starting Page	15
Ending Page	36
Page Count	22
File Format	PDF
ISSN	00068314
Journal	Boundary-Layer Meteorology
Volume Number	156
Issue Number	1
e-ISSN	15731472
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-03-15
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Lagrangian stochastic models Rogue velocities Timestep selection Well-mixed condition Atmospheric Sciences Meteorology Atmospheric Protection/Air Quality Control/Air Pollution
Content Type	Text
Resource Type	Article
Subject	Atmospheric Science

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