Method of Straight Lines for a Bingham Problem

GERMÁN ARIEL TORRES; CRISTINA TURNER

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Southwest Texas State University

Lugar: Texas; Año: 2002 vol. 2002 p. 1 - 13

1072-6691

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.