New time-marching methods for compressible Navier-Stokes equations with applications to aeroacoustics problems
作者：
Highlights：
• Formulation of a new class of implicit time-marching methods for the simulation of compressible NSE.
• Developed methods do not require inversion of coefficient matrices- reduced computational cost.
• Stability analysis using a model stiff convection-diffusion equation to assess the numerical properties.
• Methods are gauged by solving the convection-diffusion and unsteady 2D/3D compressible NSE.
• Validation of the methods by simulations of several benchmark problems from computational aeroacoustics.
摘要
•Formulation of a new class of implicit time-marching methods for the simulation of compressible NSE.•Developed methods do not require inversion of coefficient matrices- reduced computational cost.•Stability analysis using a model stiff convection-diffusion equation to assess the numerical properties.•Methods are gauged by solving the convection-diffusion and unsteady 2D/3D compressible NSE.•Validation of the methods by simulations of several benchmark problems from computational aeroacoustics.
论文关键词：Compressible flows,Navier-Stokes equations,Computational aeroacoustics,Compact schemes,Convection-diffusion equation,Fourier-spectral analysis
论文评审过程：Received 8 August 2021, Revised 24 November 2021, Accepted 6 December 2021, Available online 20 December 2021, Version of Record 20 December 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126863
