https://doi.org/10.1140/epjp/i2012-12039-5
Regular Article
A formulation to compute mass-consistent models of hydrodynamic flows
Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, A. P. 55-534, C.P. 09340, D. F., Mexico
* e-mail: manp@xanum.uam.mx
Received:
19
December
2011
Revised:
6
March
2012
Accepted:
7
March
2012
Published online:
10
April
2012
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2012
