Resumen

LOPEZ-LOPEZ, Jorge  y  JUAREZ-VALENCIA, Lorenzo Héctor. Adjusting shallow water vector fields. The conjugate gradient method. Ecosistemas y recur. agropecuarios [online]. 2015, vol.2, n.5, pp.225-232. ISSN 2007-901X.

This paper shows the application to the case of vector fields from shallow water flow, of a model and a numerical method to adjust bidimensional wind vector fields. The model is mass-consistent and allows the reconstruction of a vector field u from a given vector field u¹. Mathematically, this model can be restated as a saddle-point problem, which yields a degenerated Stokes problem for the unknown velocity field u with a multiplier λ, associated to the incompressibility restriction. This problem can be expressed as an operational problem that is solved using the conjugate gradient algorithm and the finite element method.

Palabras llave : Vector field; conjugate gradient; Lagrange multiplier; shallow water equations; Saint-Venant; finite element.