Abstract
[Abstract] In this paper, a gas -kinetic BGK scheme algorithm is developed to solve the Navier -Stokes equations in two -space dimensions expressed in generalized coordinates. The numerical scheme is based on the BGK model of the approximate collisional Bolt zmann equation. The convection flux terms which appear on the left hand side of the Navier -Stokes equations are discretized by a semi -discrete finite volume method. As for the diffusion flux terms, they are discretized by a second -order central difference scheme. The cell interface values required by the inviscid flux functions are reconstructed to higher -order spatial accuracy via the MUSCL variable interpolation method coupled with a minmod limiter. An explicit -type time integration method known as the mo dified fourth -order Runge -Kutta method is employed for computing steady -state solutions. The algorithm is tested with two laminar flow problems, namely a 7.5 degrees compression corner which involved high Mach number and a flat plate which is of relatively low Mach number. The computed results show a very good agreement with experimental data and analytical solutions when compare with results from other numerical schemes.
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.
