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How to obtain the Jacobian matrix of linearized Navier–Stokes equations

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Old   March 10, 2022, 09:32
Default How to obtain the Jacobian matrix of linearized Navier–Stokes equations
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Dear all,
Recently, I am new to the hydrodynamics' linear stability analysis. And I have read a relative literature on linear stability analysis using openFoam(https://www.sciencedirect.com/scienc...00936116300024).
On the framework of openfoam, my question is that how to obtain the Jacobian matrix of the right handside of linearized Navier–Stokes equations as mentioned in equation(6).
All suggestions are appreciated.
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flow instability, icofoam, linearized navier–stokes


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