A New Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations

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Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 77))

Abstract

In this contribution we present the use of local one-dimensional boundary value problems (BVPs) to compute the interface velocities in the convective terms of the incompressible Navier-Stokes equations. This technique provides us with a better estimate for the interface velocities than linear interpolants.

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References

  1. Sanderse, B.: Energy-conserving discretization methods for the incompressible Navier-Stokes equations: application to the simulation of wind-turbine wakes. Ph.D. thesis, Eindhoven University of Technology (2013)

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  2. Sanderse, B.: Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 233, 100–131 (2013)

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  3. ten Thije Boonkkamp, J.H.M., Anthonissen, M.J.H.: The finite volume-complete flux scheme for advection-diffusion-reaction equations. J. Sci. Comput. 46(1), 47–70 (2011)

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Correspondence to N. Kumar .

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Kumar, N., ten Thije Boonkkamp, J., Koren, B. (2014). A New Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations. In: Fuhrmann, J., Ohlberger, M., Rohde, C. (eds) Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects. Springer Proceedings in Mathematics & Statistics, vol 77. Springer, Cham. https://doi.org/10.1007/978-3-319-05684-5_35

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