# gradient calculation in ghost cell for the cell-centered finite volume method

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 April 23, 2012, 05:57 gradient calculation in ghost cell for the cell-centered finite volume method #1 New Member   Join Date: Apr 2012 Posts: 1 Rep Power: 0 Hi, The compressible Navier-Stokes equations are solved on unstructured triangular mesh using a cell-centered finite volume method. In viscous fluxes discretization, the first derivative of velocity component at mid-point of each cell edge must be evaluated. For edge inside computational domain (not on boundary), the first derivative can be calculated using gradients of velocity at left and right cell centers which share the edge. On physical boundary, ghost cells are created to implement boundary conditions. Flow variable values in these ghost cells are assigned according to specific boundary condition. For a cell inside the computational domain, the gradient of a variable at the cell center can be calculated easily. My question is: How can we calculate the gradient in a ghost cell which is needed for evaluating the first derivative of velocity on the mid-point of edge which is on the physical boundary? The ghost cell has only one neighboring cell which is located inside the computational domain. It will greatly appreciated if someone can answer my question. Thank you

 March 11, 2014, 11:35 #3 New Member   Join Date: Mar 2014 Location: California Posts: 2 Rep Power: 0 Can you please send me a PDF format for the referenced paper: C.T. DeGroot and A.G. Straatman, A Finite-volume Model for Fluid Flow and Nonequilibrium Heat Transfer in Conjugate Fluid-Porous Domains Using General Unstructured Grids, Numer. Heat Transf. B-Fund., vol. 60, pp. 252–277, 2011. Thanks.

 March 11, 2014, 11:37 #4 Senior Member   Chris DeGroot Join Date: Nov 2011 Location: Canada Posts: 388 Rep Power: 8 Sure, message me your email.

 March 11, 2014, 11:40 #5 New Member   Join Date: Mar 2014 Location: California Posts: 2 Rep Power: 0 Please send to mosawe@gmail.com. Thanks for the very quick response...much appreciated.

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