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Math Help - How can I expand this term ∇∙(φuu)

  1. #1
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    How can I expand this term ∇∙(φuu) and ∇∙(Tu)

    ∇∙(φuu) where φ is a scalar and u is a vector

    and

    ∇∙(Tu) where T is a second order tensor and u is a vector.
    Last edited by oxxiissiixxo; September 30th 2009 at 05:59 PM.
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  2. #2
    Junior Member
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    I found out that the solution for
    ∇∙(φuu) is φu∙∇u+u[∇∙(φu)]
    for this the solution is just seemed like
    ∇∙(φuu) is φu∙∇u+u[∇∙(φu)]
    ∇∙(AB) is A∙∇B+B[∇∙(A)]
    but I just can't fill in the step correctly in between
    and
    ∇∙(Tu) is -u(∇∙T)+T
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