Method of Straight Lines for a Bingham Problem
Date
2002-06-21
Authors
Torres, German
Turner, Cristina
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Bingham fluid, Straight lines, Non-newtonian fluids
Citation
Torres, G., & Turner, C. (2002). Method of straight lines for a Bingham problem. <i>Electronic Journal of Differential Equations, 2002</i>(60), pp. 1-13.
Rights
Attribution 4.0 International