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Pressure Gradient discretisation in MAC curvilinear grids

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Old   July 12, 2010, 05:20
Default Pressure Gradient discretisation in MAC curvilinear grids
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John Green
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Hi everybody,
I'm writing my FV code for incompressible NS on general curvilinear MAC grids. In cartesian formulation the pressure gradient at shifted cells faces only involves the pressure values of the 2 corresponding adjacent cells but in general coordinates surrounding cells are also involved meaning that when I'm near the boundaries the stencil is large enough to include extra boundary cells. Do I have to assign some sort of BC for the pressure here (and in case which?) or use a different discretisation for gradient that only involves interior cells?

Thank you in advance =)
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