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: email@example.com
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