The technique of MIEELDLD as a measure of the shock-capturing property of numerical methods for hyperbolic conservation laws Online publication date: Mon, 06-Jul-2015
by A.R. Appadu; S.N. Neossi Nguetchue
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 15, No. 4, 2015
Abstract: In this paper, we use some numerical methods namely Lax-Wendroff (LW), two-step Lax-Friedrichs (LF), two variants of composite methods made up of Lax-Wendroff and the two-step Lax-Friedrichs and Fromm's scheme to solve a 1D linear advection and 1D diffusionless Burger's equation, at some values of the Courant number. We then use two optimisation techniques based on both dispersion and dissipation and two optimisation techniques based on only dispersion and obtain the variation of the integrated errors vs. the CFL number. It is seen that out of the five techniques, only one is a good measure of the shock-capturing of property of numerical methods.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the Progress in Computational Fluid Dynamics, An International Journal (PCFD):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com