A Hermite finite element method for incompressible fluid flow

@article{Holdeman2010AHF,
  title={A Hermite finite element method for incompressible fluid flow},
  author={Jonas T. Holdeman},
  journal={International Journal for Numerical Methods in Fluids},
  year={2010},
  volume={64}
}
  • J. T. Holdeman
  • Published 10 October 2010
  • Mathematics
  • International Journal for Numerical Methods in Fluids
We describe some Hermite stream function and velocity finite elements and a divergence‐free finite element method for the computation of incompressible flow. Divergence‐free velocity bases defined on (but not limited to) rectangles are presented, which produce pointwise divergence‐free flow fields (∇·uh≡0). The discrete velocity satisfies a flow equation that does not involve pressure. The pressure can be recovered as a function of the velocity if needed. The method is formulated in primitive… 

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References

SHOWING 1-10 OF 26 REFERENCES

A test problem for outflow boundary conditions—flow over a backward-facing step

A numerical solution for steady incompressible flow over a two-dimensional backward-facing step is developed using a Galerkin-based finite element method. The Reynolds number for the simulations is

Introduction to Theoretical and Computational Fluid Dynamics

Preface Note to the Instructor Note to the Reader 1 Kinematic structure of a flow 2 Kinematic analysis of a flow 3 Stresses, the equation of motion, and vorticity transport 4 Hydrostatics 5 Exact

On a Galerkin--Lagrange Multiplier Method for the Stationary Navier--Stokes Equations

A Galerkin–Lagrange multiplier formulation is used for the numerical solution of the stationary Navier–Stokes equations, in order to avoid the construction of zero-divergence elements. The

A short note on the reattachment length for BFS problem

The standard backward-facing step flow problem is solved for steady state laminar case using stream function-vorticity method. The steady state results are obtained as the asymptotic solution of the

The no Boundary Condition Outflow Boundary Condition

We use a one-dimensional model problem of advection– diffusion to investigate the treatment recently advocated by Papanastasiou and colleagues to deal with boundary conditions at artificial outflow

BENCHMARK SPECTRAL RESULTS ON THE LID-DRIVEN CAVITY FLOW

Résumé and remarks on the open boundary condition minisymposium

The two minisymposia on OBCs that are summarized in this paper had the objective of finding the best OBC's for a small subset of two-dimensional test problems, but the contributions obtained probably raised many more questions/issues than were resolved.

BASIS FOR DERIVATION OF MATRICES FOR THE DIRECT STIFFNESS METHOD

Previous developments in the direct stiffness method are reviewed. The advantages of extending the definitions to make the method a variational approach are cited. The finite element formulation of

The 2D lid-driven cavity problem revisited