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Understanding the MC flux limiter

  1. Aug 26, 2013 #1

    nicksauce

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    I'm reading through these notes on numerical hydrodynamics. On pg17, they introduce the monotonized central difference flux limiter, which looks something like

    [tex]\frac{\partial~a}{\partial~x}|_i = min\left({\frac{|a_{i+1}-a_{i-1}|}{2\Delta~x},2\frac{|a_{i+1}-a_{i}|}{\Delta~x},2\frac{|a_i-a_{i-1}|}{\Delta~x}}\right)sign\left(a_{i+1}-a_{i-1}\right)[/tex]

    Now I am a bit confused about what's happening here. The first term in the min looks like a derivative, but the next two terms look like twice the derivative. Can anyone explain what exactly is going on here?


    Thanks
     
  2. jcsd
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