Abstract
In this work, we propose an improved discrete gas-kinetic scheme (DGKS) for viscous incompressible and compressible flows based on the modified circular function. The improved scheme restores the flaw of the previous DGKS and recovers the correct macroscopic energy equation. Modifications are first made on the previous circular function by relocating some portion of the particles in the phase velocity space from the circle to the circular center. By adjusting the portion of particles at the circular center, the true diffusive flux for the energy equation can be recovered, and thus, the correct macroscopic energy equation is obtained. Based on the modified circular function, a D2Q5 discrete velocity model is developed, which enhances the computational efficiency. This discrete velocity model is then incorporated into the finite volume framework for the reconstruction of numerical fluxes on the cell interface. Numerical tests on incompressible and compressible flows are performed for comprehensive validation of the proposed solver. Improved accuracy is observed in the test examples, and the computational results show good agreement with the reference data.
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.
