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; 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)
  2. Louda, Petr; Příhoda, Jaromír: On the modelling turbulent transition in turbine cascades with flow separation (2019)
  3. Tiam Kapen, Pascalin; Ghislain, Tchuen: A robust rotated-hybrid Riemann scheme for multidimensional inviscid compressible flows (2019)
  4. Wang, Jian-Hang; Pan, Shucheng; Hu, Xiangyu Y.; Adams, Nikolaus A.: Partial characteristic decomposition for multi-species Euler equations (2019)
  5. Deryugin, Yu. N.; Emel’yanova, Ya. V.; Zhuchkov, R. N.; Utkina, A. A.: Hybrid dissipation scheme as applied to computational aeroacoustics (2018)
  6. 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)
  7. 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)
  8. 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)
  9. Balasubramanian, R.; Anandhanarayanan, K.; Krishnamurthy, R.; Chakraborty, Debasis: Mitigation of shock-induced flow separation using magnetohydrodynamic flow control (2017)
  10. Guo, Shaolong; Feng, Yongliang; Tao, Wen-Quan: Deviation analysis of loosely coupled quasi-static method for fluid-thermal interaction in hypersonic flows (2017)
  11. Park, Jin Seok; You, Hojun; Kim, Chongam: Higher-order multi-dimensional limiting process for DG and FR/CPR methods on tetrahedral meshes (2017)
  12. Rodionov, Alexander V.: Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon (2017)
  13. Xie, Wenjia; Li, Wei; Li, Hua; Tian, Zhengyu; Pan, Sha: On numerical instabilities of Godunov-type schemes for strong shocks (2017)
  14. Feng, Yongliang; Sagaut, Pierre; Tao, Wen-Quan: A compressible lattice Boltzmann finite volume model for high subsonic and transonic flows on regular lattices (2016)
  15. Kalita, P.; Dass, A. K.: A diffusion-regulated scheme for the compressible Navier-Stokes equations using a boundary-layer sensor (2016)
  16. Kitamura, Keiichi: Assessment of SLAU2 and other flux functions with slope limiters in hypersonic shock-interaction heating (2016)
  17. Phongthanapanich, Sutthisak: Healing of the carbuncle phenomenon for AUSMDV scheme on triangular grids (2016)
  18. Brehm, Christoph; Barad, Michael F.; Housman, Jeffrey A.; Kiris, Cetin C.: A comparison of higher-order finite-difference shock capturing schemes (2015)
  19. Louda, Petr; Kozel, Karel; Příhoda, Jaromír: On numerical simulation of transition to turbulence in turbine cascade (2015)
  20. San, Omer; Kara, Kursat: Evaluation of Riemann flux solvers for WENO reconstruction schemes: Kelvin-Helmholtz instability (2015)

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