Abstract
This work aims at observing the effect of the mortar element method applied to a geometry requiring refinement in the vicinity of singularities induced by the presence of sharp corners. We solve the two-dimensional incompressible Navier–Stokes equations with a spectral element method. Mortar elements allow for local polynomial refinement, since they allow for functional nonconformity. The problem solved is the flow in a channel partially obstructed by an obstacle representing a rectangular blade.
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Weill, D., Deville, M.O. Steady Gap Flows by the Spectral and Mortar Element Method. Journal of Scientific Computing 17, 639–648 (2002). https://doi.org/10.1023/A:1015182932694
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DOI: https://doi.org/10.1023/A:1015182932694