Stability analysis of the 4th order Runge Kutta method in application to colloidal particle interactions
Velagala, Sindhuja
Loading…
Permalink
https://hdl.handle.net/2142/72750
Description
Title
Stability analysis of the 4th order Runge Kutta method in application to colloidal particle interactions
Author(s)
Velagala, Sindhuja
Issue Date
2015-01-21
Director of Research (if dissertation) or Advisor (if thesis)
Higdon, Jonathan J.L.
Department of Study
Chemical & Biomolecular Engr
Discipline
Chemical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Colloidal Particles
Stability
4th Order Runge Kutta
Abstract
Colloidal particles have a wide range of industrial applications. This study is focused on the application to microstructured materials and the impact of external compressive forces on particles. Currently, in the large throughput manufacturing of microstructured materials, problems such as cracking are caused by these external forces. Numerical methods can be used to generate particle positions and obtain a better understanding of particle interactions under different conditions. The aim of this study was to obtain a better understanding of the stability limits of using the 4th order Runge Kutta method. By introducing the external forces as auxiliary functions, we were able to generate exact analytic solutions satisfying arbitrary hydrodynamic and interaction forces. This allowed rigorous comparison of the theoretical stability limits and the observed stability limits on time step. We found excellent agreement with the predicted and observed results.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
