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. Balasubramanian, R.; Anandhanarayanan, K.; Krishnamurthy, R.; Chakraborty, Debasis: Mitigation of shock-induced flow separation using magnetohydrodynamic flow control (2017)
  2. Rodionov, Alexander V.: Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon (2017)
  3. Xie, Wenjia; Li, Wei; Li, Hua; Tian, Zhengyu; Pan, Sha: On numerical instabilities of Godunov-type schemes for strong shocks (2017)
  4. Ben Nasr, N.; Gerolymos, G.A.; Vallet, I.: Low-diffusion approximate Riemann solvers for Reynolds-stress transport (2014)
  5. Kapen, Pascalin Tiam; Ghislain, Tchuen: A new flux splitting scheme based on Toro-Vazquez and HLL schemes for the Euler equations (2014)
  6. Kitamura, Keiichi; Liou, Meng-Sing; Chang, Chih-Hao: Extension and comparative study of AUSM-family schemes for compressible multiphase flow simulations (2014)
  7. Liu, Jian-xia; Hou, Zhong-xi; Ding, Guo-hao; Chen, Xiao-qing; Chen, Xiao-qian: Numerical and experimental study on waverider with blunt leading edge (2013) ioport
  8. Louda, Petr; Sváček, Petr; Fořt, Jaroslav; Fürst, Jiří; Halama, Jan; Kozel, Karel: Numerical simulation of turbine cascade flow with blade-fluid heat exchange (2013)
  9. Park, Jin Seok; Kim, Chongam: Extension of AUSMPW+ scheme for two-fluid model (2013)
  10. Shen, Yiqing; Zha, Gecheng: Low diffusion E-CUSP scheme with implicit high order WENO scheme for preconditioned Navier-Stokes equations (2012)
  11. Kang, Hyungmin; Lee, Dongho; Lee, Dohyung; Kwak, Dochan; Seo, John: Efficiency enhancement in high order accurate Euler computation via AWM (2011)
  12. Park, Jin Seok; Kim, Chongam: Multi-dimensional limiting process for discontinuous Galerkin methods on unstructured grids (2011)
  13. Furmánek, Petr; Fürst, Jiří; Kozel, Karel: High order finite volume schemes for numerical solution of unsteady flows (2010)
  14. Kang, Hyung-Min; Kim, Kyu Hong; Lee, Dong-Ho: A new approach of a limiting process for multi-dimensional flows (2010)
  15. Park, Jin Seok; Yoon, Sung-Hwan; Kim, Chongam: Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids (2010)
  16. Ahn, Jae Wan; Kim, Chongam: An axisymmetric computational model of generalized hydrodynamic theory for rarefied multi-species gas flows (2009)
  17. Furmánek, Petr; Fürst, Jiří; Kozel, Karel: High order finite volume schemes for numerical solution of 2D and 3D transonic flows (2009)
  18. Kang, Hyung Min; Kim, Kyu Hong; Lee, Do Hyung; Lee, Dong Ho: Improvement in computational efficiency of Euler equations via a modified sparse point representation method (2008)
  19. Nishikawa, Hiroaki; Kitamura, Keiichi: Very simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers (2008)
  20. Yoon, Sung-Hwan; Kim, Chongam; Kim, Kyu-Hong: Multi-dimensional limiting process for three-dimensional flow physics analyses (2008)

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