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Question regarding non-uniform FVM staggered grid and order accuracy |
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October 25, 2012, 10:56 |
Question regarding non-uniform FVM staggered grid and order accuracy
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#1 |
Senior Member
TWB
Join Date: Mar 2009
Posts: 409
Rep Power: 19 |
Hi,
I have a question regarding non-uniform FVM staggered Cartesian grid and order accuracy. When the grid is non-uniform, I define the u,v,p grids such that the east/west faces of the u grid intersects the cell center of p. Same for the v grid. In that case, the distance of the east/west faces from the cell center of u will be different. the volume of u and p cells are different. When using the fractional method, after evaluating the pressure from the Poisson eqn, to get u velocity, I use: u(n+1) - u(*) = -(delta_t / vol) * pressure(east face) -pressure(west face) * area, where u*) is the intermediate velocity However, since my u value is not at the center of the cell, it will not give a 2nd order solution, is that so? How can I resolve this? Thanks |
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October 25, 2012, 12:22 |
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#2 | |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,849
Rep Power: 73 |
Quote:
I suggest to see the dedicated part in: http://onlinelibrary.wiley.com/doi/1...d.613/abstract http://onlinelibrary.wiley.com/doi/1...al+maintenance hoping this can help you |
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October 26, 2012, 04:11 |
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#3 |
Senior Member
TWB
Join Date: Mar 2009
Posts: 409
Rep Power: 19 |
Thanks Filippo, I'll take a look at them.
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