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126.96.36.199 Tangential Flow Stabilization
For certain outlet conditions, using the natural boundary condition may lead to flow instabilities. It is possible to minimize these effects by prescribing a tangential viscous traction onto the boundary surface, which opposes this tangential flow. Optionally, this condition may be combined with the backflow stabilization described above.
Similar to the previous section, we introduce a non-dimensional parameter , with the tangential traction given by This form shows that opposes tangential flow. The external virtual work for this traction is Its linearization along an increment is where it can be shown that The discretized form of is The discretized form of is