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Second Partial Derivative Source term in OF

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Old   February 6, 2018, 23:06
Default Second Partial Derivative Source term in OF
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Anirudh Kulkarni
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Hello OFers,

I am trying to add a source term in the energy equation (see image) for simulating a lid driven cavity. This involves second partial derivative of Temperature.

For this, I am doing something like this:

Code:
volVectorField gradT = fvc::grad(T);
volScalarField Ty = gradT.component(1); // T_y
volVectorField gradT2 = fvc::grad(Ty); // (T_xy, T_yy, T_zy)
volScalarField Tyy = gradT2.component(1); // T_yy
Is this correct? Or what can be the correct way to do it?
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Old   February 11, 2018, 13:58
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Santiago Lopez Castano
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Quote:
Originally Posted by Tempest View Post
Hello OFers,

I am trying to add a source term in the energy equation (see image) for simulating a lid driven cavity. This involves second partial derivative of Temperature.

For this, I am doing something like this:

Code:
volVectorField gradT = fvc::grad(T);
volScalarField Ty = gradT.component(1); // T_y
volVectorField gradT2 = fvc::grad(Ty); // (T_xy, T_yy, T_zy)
volScalarField Tyy = gradT2.component(1); // T_yy
Is this correct? Or what can be the correct way to do it?
Isnt that a laplacian? OF implements a laplacian object in the fvm/fvc namespace
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