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Discussion on LBM basics

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  • #5044
    nimmi
    Participant

    Dear all
    I am a beginner to the topic LBM and have some small small doubts but don’t have anyone whom I can ask these questions. So thought to post them over here.
    I am asking this from Sauro Succi “The lattice Boltzmann equation”(2001) page 8
    in the equation 1.11
    m∫fdv = ρ
    right side is density and equal to mass/volume
    in left side m is mass of a single particle and f is ensemble average of no of molecules and v is velocity how does dimensions of both the sides are equal?

    Thanking you
    Nimmi

    • This topic was modified 2 weeks, 1 day ago by nimmi. Reason: nomenclature
    #5046
    mathias
    Keymaster

    Hi,

    that is all fine, here ar ethe SI units:
    – m \int f(t,r,v) dv = \rho(t,r) [kg/m^3]
    – m [m]
    – f [1/m^3]
    – rho [kg/m^3]

    Best
    Mathias

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