Universiti Teknologi Malaysia Institutional Repository

A moving mesh finite element method for the burger equation in crowd model application

Abd. Latiff, Muhammad Shafiee and Widyarto, Setyawan (2006) A moving mesh finite element method for the burger equation in crowd model application. In: Proc. Postgraduate Annual Research Seminar 2006 (PARS 2006) , 2006, UTM.

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Official URL: http://comp.utm.my/pars/files/2013/04/A-Moving-Mes...

Abstract

This paper discusses Burger’s equation to be used in modelling a crowd with traffic approach using conservation laws and focuses on a moving mesh method that is applied to the solution of hyperbolic equations. A mesh consists of nodes (points) at specific locations in space that are connected to form elements. The moving mesh method is developed utilizing monitor functions to drive the mesh motion and is based on equidistribution ideas. The method is derived in multi dimensions from a conservation of monitor function principle and from this initial principle a conservation law for the monitor function is derived. Numerical results for the moving mesh methods to the Burger’s equation with several values ofe , including when e =0 or inviscid Burger’ equation is presented.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:moving mesh, Burger’s equation, crowd model, conservation laws
Subjects:Q Science > QA Mathematics
Divisions:Computer Science and Information System (Formerly known)
ID Code:24812
Deposited By: Liza Porijo
Deposited On:24 Apr 2012 01:20
Last Modified:09 Jun 2014 00:49

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