统一建造全速HLL型超音速供热计算全速高通声供暖系统 (A unified construction of all-speed HLL-type schemes for hypersonic heating computations)

In this paper, a unified framework to develop all-speed HLL-type schemes for hypersonic heating computations is constructed. Such a unified construction method combines two effective improving techniques: a shock robustness improvement and a low-Mach number fix. It is implemented by properly modifying the approximate solutions of the local Riemann problem in the HLL framework, resulting in two all-speed HLL-type schemes, namely ASHLLC and ASHLLEM solvers. Results from both numerical analysis and experiments demonstrate that the newly proposed schemes not only preserve desirable properties of their original versions, but are also able to provide accurate and robust solutions for complex flows ranging from low-Mach number incompressible to hypersonic compressible regimes. Thus, both the ASHLLC and ASHLLEM schemes can be used as reliable methods for hypersonic heating computations.

翻译：在本文中,为制定超声速加热计算全速HLL-型计划建立了一个统一框架。这种统一的构建方法结合了两种有效的改进技术:冲击强度增强和低兆赫数字修正。它通过适当修改高音速框架中当地Riemann问题的近似解决办法加以实施,从而形成两个全速HLLL-型计划,即ASHLLC和ASLLEM求解器。数字分析和实验的结果都表明,新提议的计划不仅保持了原版的适宜性,而且能够为从低兆赫数字无法压缩到超声速压缩系统的复杂流动提供准确和稳健的解决方案。因此,SAHLLC和ASLLEM计划都可以作为超声速加热计算的可靠方法使用。