Artificial compressibility methods aim to reduce the stiffness of the compressible Navier-Stokes equations by artificially decreasing the velocity of acoustic waves in the fluid. This approach has originally been developed as an alternative to the incompressible Navier-Stokes equations as this avoids the resolution of a Poisson equation. This paper extends the method to anisothermal low Mach number flows, allowing the simulations of subsonic flows submitted to large temperature variations, including dilatational effects. The procedure is shown to be stable and accurate using a finite-difference method in a staggered grid system for the simulation of strongly anisothermal turbulent channel flow. The highly scalable nature of the approach is well suited to complex high-fidelity simulations and GPU processing.

中文翻译：

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强等温低马赫数流的人工压缩方法

人工可压缩性方法旨在通过人为地降低流体中声波的速度来降低可压缩Navier-Stokes方程的刚度。这种方法最初是作为不可压缩的Navier-Stokes方程的替代方法开发的，因为它避免了Poisson方程的解析。本文将这种方法扩展到低马赫数的等温流动，从而可以模拟亚音速流动受到较大温度变化（包括膨胀效应）的影响。使用有限差分方法在交错网格系统中模拟强等温湍流通道时，该过程是稳定且准确的。该方法具有高度可扩展性，非常适合复杂的高保真模拟和GPU处理。