A High Order Numerical Method for the Solution of the Advection Equation

<p> This report presents a numerical method which can be used to solve the advection equation </p> <p> (∂ɸ/∂t) + (∂[u(x,t)ɸ]/∂x) = S(x,t) </p> where: </p> <p> ɸ ≣ concentration field </p> <p> u(x,t) ≣ velocity field </p> <p> S(x,t) ≣ source term </p> <p> Central to this method are the concept of particle path and the Eulerian interpretation of the time rate of change of the concentration field ɸ. </p> In actual comparison tests for particular cases with known solutions this method proved to be at least two orders of magnitude more accurate than the usual one sided upwind finite difference method. </p>

Department dc:contributor.department

Engineering Physics

Year dc:date.issued

1980

Author dc:creator

• Duarte, Durval

Advisor dc:contributor.advisor

• Banerjee, S.

• engineering physics
• high order numerical method
• advection equation; solution

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/11375/18538

OAI record oai:identifier

https://macsphere.mcmaster.ca/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Amacsphere.mcmaster.ca%3A11375%2F18538