Poisson equation for pressure homogeneous boundary condition

RenardP · July 10, 2009, 22:15

In solving the Poisson equation for pressure some authors advice the use of "homogeneous boundary conditions".

I'm not sure how to interpret this:

1. dp/dn=0 the derivative in the normal direction at a frontier is zero ?

or

2. P_frontier = 0 ?

I use this Poisson equation in a MAC grid type (staggered grid in which the pressure is located at the centers of the cells and the velocities on the cell's sides) for solving the incompressible Navier-Stokes equation.

Any help will be appreciated.

Thanks

RenardP · July 13, 2009, 11:01

Homogeneous Neumann dp/dn=0 on MAC type grids

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July 10, 2009, 22:15	Poisson equation for pressure homogeneous boundary condition	#1
RenardP Member Join Date: Mar 2009 Posts: 62 Rep Power: 17	In solving the Poisson equation for pressure some authors advice the use of "homogeneous boundary conditions". I'm not sure how to interpret this: 1. dp/dn=0 the derivative in the normal direction at a frontier is zero ? or 2. P_frontier = 0 ? I use this Poisson equation in a MAC grid type (staggered grid in which the pressure is located at the centers of the cells and the velocities on the cell's sides) for solving the incompressible Navier-Stokes equation. Any help will be appreciated. Thanks

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July 13, 2009, 11:01		#2
RenardP Member Join Date: Mar 2009 Posts: 62 Rep Power: 17	Homogeneous Neumann dp/dn=0 on MAC type grids .