Methods for the Accurate Computations of Hypersonic Flows: I. AUSMPW+Scheme. In order to overcome some difficulties observed in the computation of hypersonic flows, a robust, accurate and efficient numerical scheme based on AUSM-type splitting is developed. Typical symptoms appearing in the application of AUSM-type schemes for high-speed flows, such as pressure wiggles near a wall and overshoots across a strong shock, are cured by introducing weighting functions based on pressure (AUSMPW). A newly improved version of the AUSMPW scheme, called AUSMPW+, is developed to increase the accuracy and computational efficiency of AUSMPW in capturing an oblique shock without compromising robustness. With a new definition of the numerical speed of sound at a cell interface, capturing an oblique shock is remarkably enhanced, and it can be proved that an unphysical expansion shock is completely excluded. With simple Mach number interpolation functions, AUSMPW+ is efficient to implement. Extensive numerical tests from supersonic frozen flows to hypersonic nonequilibrium flows validate that the AUSMPW+ scheme provides accurate solutions for the computation of high-speed flows.

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  1. Chen, Shu-sheng; Li, Jin-ping; Li, Zheng; Yuan, Wu; Gao, Zheng-hong: Anti-dissipation pressure correction under low Mach numbers for Godunov-type schemes (2022)
  2. Hu, Lijun; Yuan, Haizhuan; Zhao, Kunlei: A shock-stable HLLEM scheme with improved contact resolving capability for compressible Euler flows (2022)
  3. Xie, Wenjia; Tian, Zhengyu; Zhang, Ye; Yu, Hang; Ren, Weijie: A unified construction of all-speed HLL-type schemes for hypersonic heating computations (2022)
  4. Spinelli, Gregorio Gerardo; Celik, Bayram: Applications of a central ENO and AUSM schemes based compressible N-S solver with reconstructed conservative variables (2021)
  5. Bocharov, A. N.; Evstigneev, N. M.; Petrovskiy, V. P.; Ryabkov, O. I.; Teplyakov, I. O.: Implicit method for the solution of supersonic and hypersonic 3D flow problems with lower-upper symmetric-Gauss-Seidel preconditioner on multiple graphics processing units (2020)
  6. Chen, Shu-sheng; Cai, Fang-jie; Xue, Hai-chao; Wang, Ning; Yan, Chao: An improved AUSM-family scheme with robustness and accuracy for all Mach number flows (2020)
  7. Fleischmann, Nico; Adami, Stefan; Hu, Xiangyu Y.; Adams, Nikolaus A.: A low dissipation method to cure the grid-aligned shock instability (2020)
  8. Guo, S.; Feng, Y.; Jacob, J.; Renard, F.; Sagaut, P.: An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice (2020)
  9. Hu, Lijun; Yuan, Li; Zhao, Kunlei: Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows (2020)
  10. Kitamura, Keiichi; Mamashita, Tomohiro; Ryu, Dongsu: SLAU2 applied to two-dimensional, ideal magnetohydrodynamics simulations (2020)
  11. Feng, Yongliang; Boivin, Pierre; Jacob, Jérôme; Sagaut, Pierre: Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows (2019)
  12. Louda, Petr; Příhoda, Jaromír: On the modelling turbulent transition in turbine cascades with flow separation (2019)
  13. Tiam Kapen, Pascalin; Ghislain, Tchuen: A robust rotated-hybrid Riemann scheme for multidimensional inviscid compressible flows (2019)
  14. Wang, Jian-Hang; Pan, Shucheng; Hu, Xiangyu Y.; Adams, Nikolaus A.: Partial characteristic decomposition for multi-species Euler equations (2019)
  15. Zhang, Huaibao; Martin, Alexandre; Wang, Guangxue: Numerical analysis of time accuracy of a primitive variable-based formulation of the conservative form of the governing equations for compressible flows (2019)
  16. Deryugin, Yu. N.; Emel’yanova, Ya. V.; Zhuchkov, R. N.; Utkina, A. A.: Hybrid dissipation scheme as applied to computational aeroacoustics (2018)
  17. Fořt, J.; Fürst, J.; Halama, J.; Hric, V.; Louda, P.; Luxa, M.; Šimurda, D.: Numerical simulation of flow through cascade in wind tunnel test Section and stand-alone configurations (2018)
  18. Huh, Jin Young; Rhee, Jae Sang; Kim, Kyu Hong; Jung, Suk Young: New least squares method with geometric conservation law (GC-LSM) for compressible flow computation in meshless method (2018)
  19. Musa, Omer; Chen, Xiong; Zhou, Chang-sheng; Li, Ying-kun; Liao, Wen-He: Investigations on the influence of swirl intensity on solid-fuel ramjet engine (2018)
  20. Qu, Feng; Sun, Di; Yan, Chao: A new flux splitting scheme for the Euler equations. II: E-AUSMPWAS for all speeds (2018)

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