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A formulation to compute mass-consistent models of hydrodynamic flows

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Abstract

Standard interpolation methods of measured data of an incompressible fluid yield a non-solenoidal field v 0. A formulation to estimate a solenoidal field from v 0, is proposed. Variational calculus reduces the problem to the solution of an elliptic equation for a Lagrange multiplier. Examples illustrate how boundary conditions improve the mass-balance of velocity fields obtained in meteorology with similar approaches. The elliptic equation is separable in meteorological problems over a complex orography. This allows the use of fast-Poisson solvers. It is shown how the flow-rate can be used to define a low-pass filter which improves the results given by the Fast Fourier Algorithm.

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Authors and Affiliations

  1. Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, A. P. 55-534, C.P. 09340, D. F., Mexico

    M. A. Núñez & J. E. Sánchez-Sánchez

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  1. M. A. Núñez
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  2. J. E. Sánchez-Sánchez
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Correspondence to M. A. Núñez.

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Núñez, M.A., Sánchez-Sánchez, J.E. A formulation to compute mass-consistent models of hydrodynamic flows. Eur. Phys. J. Plus 127, 39 (2012). https://doi.org/10.1140/epjp/i2012-12039-5

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  • DOI: https://doi.org/10.1140/epjp/i2012-12039-5

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