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Domain of the 2D Navier-Stokes benchmark problem

Domain of the 2D Navier-Stokes benchmark problem

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Figure 2: Domain of the 2D Navier-Stokes benchmark problem
Figure 3: Comparison of the error in the mean drag for the Stokes...
Figure 4: Trajectory of the drag/lift coefficient for the Stokes...
Figure 5: Comparison of the error in the mean drag for the...
+6 Figure 7: Snapshots of the velocity magnitude of the primal...
Tensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems
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  • Oct 2022
In this work, the dual-weighted residual method is applied to a space-time formulation of nonstationary Stokes and Navier-Stokes flow. Tensor-product space-time finite elements are being used to discretize the variational formulation with discontinuous Galerkin finite elements in time and inf-sup stable Taylor-Hood finite element pairs in space. To...
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... at the streamlines, we observe a corner vortex in the lower left corner after the step. In Figure 12, we plot the snapshot of the vorticity magnitude of the primal backward-facing step problem at time t ≈ 4. It can be seen that the vorticity magnitude is largest at the reentrant corner x = (0, 1 2 ). In Figure 13, we display a 4 times adaptively refined grid with divergence-free L 2 projection. ...
Context 2
... at the streamlines, we observe a corner vortex in the lower left corner after the step. In Figure 12, we plot the snapshot of the vorticity magnitude of the primal backward-facing step problem at time t ≈ 4. It can be seen that the vorticity magnitude is largest at the reentrant corner x = (0, 1 2 ). In Figure 13, we display a 4 times adaptively refined grid with divergence-free L 2 projection. ...