Open figure viewer
Purpose
The purpose of this paper is to obtain numerical solutions of a two‐dimensional mixed space‐time PDE modelling the flow of a second‐grade.
Design/methodology/approach
The paper derives conditionally stable Crank‐Nicolson schemes to solve both the one and two dimensional mixed‐space time PDE. For the two‐dimensional case we implement the Crank‐Nicolson scheme using a Peaceman‐Rachford ADI scheme.
Findings
For zero‐shear boundaries the Cattanneo representation of the model equation blows up whilst the representation derived by Rajagopal is stable and produces solutions which decay over time.
Originality/value
The use of a Peaceman‐Rachford ADI scheme to solve a mixed space‐time PDE is both novel and new.
© Emerald Group Publishing Limited
2012
You do not currently have access to this content.
