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Boundary Conditions

Because the conservation equation only involves variables within a cell, the boundary conditions only affect the cell face equations. On the boundaries, instead of a cell face equation, a Robin boundary condition is specified, \begin{displaymath}\beta_1 \; \Phi_f^{n+1}
- \beta_2 \; \mbox{$\stackrel{^{\ma...
= \beta_3 \; \Phi_{bc} \; ,
where $ \beta_{1}^{}$,$ \beta_{2}^{}$ and $ \beta_{3}^{}$ can be specified to match the following common boundary conditions:

Michael L. Hall