Abstract
We report on computational methods and results for convection of a constant property liquid in a saturated porous medium. Flow is examined in a square domain with insulated side walls, a cold top and a hot bottom boundary. An ADI finite difference method which is fourth order in space and second order in time is compared with a method of lines code which is based on fourth order finite differences in space and a Runge-Kutta-Fehlberg fourth order ODE solver. A coordinate transformation is used with the ADI scheme in an attempt to improve resolution in the boundary layer. The accuracy of the ADI method is studied by application to steady flow at Rayleigh number R = 200. A comparison of the methods is also made for solutions at R = 400, some of which display oscillations in time. An attempt is made to study the structure of these oscillatory solutions. A nearly steady “single-cell” solution at R = 400 is also described. We find five distinct long-time solutions at R = 400, each of which is generated by a different initial condition.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
