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3 votes

Symmetry axis boundary condition

Since your problem is axisymmetric, your resultant flowfield does not depend on the angle. However, it depends on the radial and longitudinal coordinates if you are solving a stationary flow problem. ...
Nikola Ristic's user avatar
-1 votes

Approximation of derivatives in the finite volume method

The fluxes for this problem are evaluated on the cell boundaries rather than the cell centres. So for cells small enough, you can use a simple arithmetic average: $$\frac{\partial \varphi}{\partial X}\...
Matthew Hunt's user avatar
2 votes
Accepted

Is the weak form on this book about a level set FSI problem wrong?

I find the problem, we can't absorb the gradient of the development of the divergence of in the force term into the pressure, we need to keep the identity matrix while deriving the weak form, then ...
吴yuer's user avatar
  • 151
1 vote

Approximation of derivatives in the finite volume method

The main idea behind the finite volume method is rather based on approximating the conservation laws in integral weak form (Divergence theorem) \begin{equation} \frac{d}{dt}\int_{x_L}^{x_R} u(x,t) ...
ConvexHull's user avatar
  • 1,253
-2 votes

Approximation of derivatives in the finite volume method

In a normal finite volue method you interpolate your profile by piecewise constant functions, so that in every cell you assume a constant value of amplitude for all points lying in that region. This ...
MPIchael's user avatar
  • 2,627

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