doubt regarding symbol @ used in dedalus

[Ritik Dubey]

can any one please tell me in the below line what does @ mean , it is from the periodic shear 2D (IVP) of dedalus example.

problem.add_equation("dt(u) + grad(p) - nu*lap(u) = - u@grad(u)")

Best,

- Ritik

[Keaton Burns]

Hi Ritik,

This is the normal python operator for matrix multiplication. In Dedalus, it means a dot product between vector/tensor fields, so this is the standard “u dot grad u” form of the advective nonlinearity in incompressible Navier-Stokes.

Best,

-Keaton

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[Ritik Dubey]

Thank you sir

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