Metodo de Lineas para un Problema de Bingham Unidimensional

GERMÁN ARIEL TORRES; CRISTINA TURNER

San Luis

Congreso; LI Reunion Anual de Comunicaciones Cientificas de la Union Matematica Argentina ( UMA ); 2001

Universidad Nacional de San Luis

In this work we develop a method of straight lines for a one-dimensional Bingham problem. A Bingham fluid has viscosity properties that produce a separation into two regions, a rigid zone and a viscous zone. We propose a method of lines with the time as a discrete variable. We prove that the method is well defined, a monotone property, and a convergence theorem. Behavior of the numerical solution and numerical experiments are presented at the end of this work.