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A finite element method for simulation of unsteady flows

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Tenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 264))

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Abstract

The application of a Conjugate-Residual method to the solution of the time-dependent incompressible Navier-Stokes equations, is studied. This method is applied to the system of equations obtained by a finite element approximation to the differential equations, in each (semi-implicit) time step. Both steady and unsteady flows can be computed, with a rather acceptable efficiency. The computer code has been applied to the simulation of several flow problems, such as the flow in the lid-driven cavity and the steady and pulsatile flow past valve models.

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References

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F. G. Zhuang Y. L. Zhu

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© 1986 Springer-Verlag

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Eguchi, Y., Fuchs, L. (1986). A finite element method for simulation of unsteady flows. In: Zhuang, F.G., Zhu, Y.L. (eds) Tenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041799

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  • DOI: https://doi.org/10.1007/BFb0041799

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17172-0

  • Online ISBN: 978-3-540-47233-9

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