FYFD

Tag: modelling

  • Bay of Fundy Tides

    Bay of Fundy Tides

    Canada’s Bay of Fundy has some of the wildest tidal flows in the world. Every six hours, the flow direction through the strait shifts and tidal currents rise to several meters per second. This creates distinct jets a couple kilometers long that pour from one side of the strait to the other. 

    What you see here is a numerical simulation of the flow using a technique called Large Eddy Simulation (or LES, for short). It’s one method used by fluid dynamicists to model turbulent flows without taking on the complexity of the full Navier-Stokes equations. At large lengthscales, like those of the jets and eddies we see above, LES uses the exact physics. But when it comes to the smaller scales – like the flow nearest the shores or the bottom of the strait – the simulation will approximate the physics in order to make calculations quicker and easier. Models like these make large-scale problems – including modeling our daily weather patterns – possible. (Image credit: A. Creech, source)

  • Collective Motion: Crowds

    Collective Motion: Crowds

    It’s sometimes taken for granted that, in groups, people can behave a lot like a fluid or a granular material. This allows scientists to adapt models developed for those materials to understand how crowds move. But in doing so, it’s always important to test just how far the comparison holds; in other words, just how much does a crowd of people behave like a fluid or granular material?

    That’s the purpose behind the experiment you see above, where a dense crowd of people shift in response to a “cylindrical intruder”. This is a classic experiment for something like a granular material, and there are clear similarities. Most of the crowd’s shifting comes only a short way from the intruder, and their passage leaves a small, empty wake that slowly fills back up.

    But other aspects of the experiment are very different from the granular equivalent. Instead of moving only when contact forces cause them to, the crowd shifts in anticipation of the intruder’s passage. They also use a more confined motion; crowd members primarily shift to the side to allow the intruder by, whereas grains tend to follow a more circular pattern of motion. Interestingly, if the intruder approaches from behind – and thus crowd members cannot anticipate them – the crowd’s motions will actually better match a granular material. (Image and research credit: A. Nicholas et al., source)

    All this week at FYFD we’re looking at collective motion. Check out our previous posts here and here.

  • Impacting a Viscous Pool

    Impacting a Viscous Pool

    Whenever a hollow cavity forms at the surface of a liquid, the cavity’s collapse generates a jet–a rising, high-speed column of liquid. The composite images above show snapshots of the process, from the moment of the cavity’s greatest depth to the peak of the jet. The top row of images shows water, and the bottom row contains a fluid 800 times more viscous than water. The added viscosity both smooths the geometry of the process and slows the jet down, yet strong similarities clearly remain. Focusing on similarities in fluid flows across a range of variables, like viscosity, is key to building mathematical models of fluid behavior. Once developed, these models can help predict behaviors for a wide range of flows without requiring extensive calculation or experimentation. (Image credit: E. Ghabache et al.)