Resumen de One stabilization method for the 1D steady solute transport equation

Angel Hidalgo, J. M. Pérez, C. Conde

• The aim of this paper is to obtain a stabilized solution of the solute transport equation, as described in references such as Oñate [1] among others. The solution obtained by means of either finite element or finite volume methods may have undesirable oscillations (this may happen if, for example, the Peclet number id high). Those oscillations may be avoided by implementing stabilization techniques, as the one described in this paper. It consists of modifying the original partial differential equation (PDE) by considering higher order terms in the Taylor expansions, which is equivalent to introduce a certain amount of artificial diffusion in de convective and diffusive terms. This problem is then solved by the application of finite volumes, in order to obtain an approached solution, which is then substituted in the original PDE to aobtain a residual, which must be minimized by means of an iterative method. This iterative method keeps on, until a suffiently stable solution is achieved. Results are shown when the method es applied to velocity fields and diffusive coefficients strongly depending on the spatial coordinate.