Scholarlink

<p>This paper presents a novel numerical method for accurately calculating flux across all-speed regimes in flow simulations. The M-AUSMPW+ scheme, known for its accuracy and monotonicity across discontinuous flow profiles, is extended to effectively handle low Mach number flows. This extension is crucial for obtaining physically reasonable solutions and improving convergence rates as the Mach number approaches zero. Through asymptotic analysis, a new approach is introduced to control numerical dissipation based on the Mach number. The M-AUSMPW+ scheme for low-speed flows, named LM-AUSMPW+ scheme, reduces numerical dissipation, enabling the discretized equations to satisfy the asymptotic behavior of the governing equations. Additionally, the scheme preserves discontinuous properties by maintaining monotonicity through upwinding in supersonic regions. The enhanced performance of the LM-AUSMPW+ scheme is demonstrated through several test cases. The numerical results indicate that LM-AUSMPW+ achieves greater accuracy compared to conventional AUSM-type schemes, while maintaining similar computation time and resource requirements as M-AUSMPW+.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Improvement on M-AUSMPW+ Scheme for All-Speed Flow : LM-AUSMPW+

  • 期刊论文

  • 发表日期：

    2026年5月9日

查看全文
  • Tae Yoon Kung,
  • Jun Seok Oh,
  • Kyu Hong Kim

摘要

This paper presents a novel numerical method for accurately calculating flux across all-speed regimes in flow simulations. The M-AUSMPW+ scheme, known for its accuracy and monotonicity across discontinuous flow profiles, is extended to effectively handle low Mach number flows. This extension is crucial for obtaining physically reasonable solutions and improving convergence rates as the Mach number approaches zero. Through asymptotic analysis, a new approach is introduced to control numerical dissipation based on the Mach number. The M-AUSMPW+ scheme for low-speed flows, named LM-AUSMPW+ scheme, reduces numerical dissipation, enabling the discretized equations to satisfy the asymptotic behavior of the governing equations. Additionally, the scheme preserves discontinuous properties by maintaining monotonicity through upwinding in supersonic regions. The enhanced performance of the LM-AUSMPW+ scheme is demonstrated through several test cases. The numerical results indicate that LM-AUSMPW+ achieves greater accuracy compared to conventional AUSM-type schemes, while maintaining similar computation time and resource requirements as M-AUSMPW+.