Comment on “Development of an Improved Gas-Kinetic BGK Scheme for Inviscid and Viscous Flows”

✍ Scribed by Kun Xu

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 62 KB
• Volume: 171
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.2001.6711

✦ Synopsis

Recently, Chae, Kim, and Rho proposed a new gas-kinetic BGK scheme [1]. In their approach, they modified the EFM or KFVS flux component in a gas-kinetic scheme through techniques based on Mach number splitting and Osher's linear subpath solution; see Eqs. ( 30) and ( 31) in [1]. In order to demonstrate the improvement in the numerical results obtained from their new scheme, in Figs. ( 12) and ( 14) they also included simulation results from another gas-kinetic BGK scheme, which was implicitly referred to Xu and Prendergast's BGK method [2]. In this letter, we point out the difference between the BGK scheme referred in paper [1] and Xu and Prendergast's BGK scheme [2]. Also, test cases similar to those presented in [1] will be calculated by Xu and Prendergast's BGK method.

The referred BGK scheme in the Chae-Kim-Rho paper is based on Eq. ( 19) for the flux evaluation, f (0, 0, t, u, v, ξ) = 1e -t/τ g 0 + e -t/τ f 0 (-ut, -vt) + τ -1 + e -t/τ (u ā + v b)g 0 + te -t/τ (u ā + v b)g 0 , (0.1