An Acoustic and Shock Wave Capturing Compact High-Order Gas-Kinetic Scheme with Spectral-Like Resolution. Issue 10 (25th November 2020)

• Record Type: Journal Article
• Authors: Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun
• Is Part Of: International journal of computational fluid dynamics. Volume 34:Issue 10(2020)
• Page Start: 731
• Page End: 756
• Publication Date: 2020-11-25
• Subjects: Computational acoustics -- high-resolution method -- gas-kinetic scheme -- compact reconstruction -- Navier-Stokes solutions; Fluid dynamics -- Data processing -- Periodicals; 532.05
• DOI: 10.1080/10618562.2020.1821879
• Languages: English
• ISSNs: 1061-8562

Abstract

Abstract : A compact high-order gas-kinetic scheme (GKS) with spectral resolution will be presented and used in the simulation of acoustic and shock waves. Based on high-order gas evolution model, the GKS provides a time accurate solution at a cell interface, from which both time accurate flux function and flow variables can be obtained for updating cell averaged conservative flow variables and gradients. Based on cell-averaged flow variables and gradients, a reconstruction with compact stencil up to eighth-order spacial accuracy can be achieved, which include the nonlinear reconstruction for initial non-equilibrium state and linear reconstruction for the equilibrium one. The GKS unifies the nonlinear and linear reconstruction through a time evolution process at a cell interface from the non-equilibrium state to an equilibrium one. In the smooth acoustic wave region, the linear reconstruction will contribute mainly to the evolution. In the non-equilibrium shock region, the nonlinear reconstruction will play a dominant role.