AUSMPW+

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.


References in zbMATH (referenced in 21 articles )

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  1. 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)
  2. Louda, Petr; Sváček, Petr; Fořt, Jaroslav; Fürst, Jiří; Halama, Jan; Kozel, Karel: Numerical simulation of turbine cascade flow with blade-fluid heat exchange (2013)
  3. Park, Jin Seok; Kim, Chongam: Extension of AUSMPW+ scheme for two-fluid model (2013)
  4. Shen, Yiqing; Zha, Gecheng: Low diffusion E-CUSP scheme with implicit high order WENO scheme for preconditioned Navier-Stokes equations (2012)
  5. Kang, Hyungmin; Lee, Dongho; Lee, Dohyung; Kwak, Dochan; Seo, John: Efficiency enhancement in high order accurate Euler computation via AWM (2011)
  6. Park, Jin Seok; Kim, Chongam: Multi-dimensional limiting process for discontinuous Galerkin methods on unstructured grids (2011)
  7. Furmánek, Petr; Fürst, Jiří; Kozel, Karel: High order finite volume schemes for numerical solution of unsteady flows (2010)
  8. Kang, Hyung-Min; Kim, Kyu Hong; Lee, Dong-Ho: A new approach of a limiting process for multi-dimensional flows (2010)
  9. Park, Jin Seok; Yoon, Sung-Hwan; Kim, Chongam: Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids (2010)
  10. Ahn, Jae Wan; Kim, Chongam: An axisymmetric computational model of generalized hydrodynamic theory for rarefied multi-species gas flows (2009)
  11. Furmánek, Petr; Fürst, Jiří; Kozel, Karel: High order finite volume schemes for numerical solution of 2D and 3D transonic flows (2009)
  12. 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)
  13. Nishikawa, Hiroaki; Kitamura, Keiichi: Very simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers (2008)
  14. Yoon, Sung-Hwan; Kim, Chongam; Kim, Kyu-Hong: Multi-dimensional limiting process for three-dimensional flow physics analyses (2008)
  15. Wolf, T.; Estorf, M.; Radespiel, R.: Investigation of the starting process in a Ludwieg tube (2007)
  16. Boin, J.-Ph.; Robinet, J.Ch.; Corre, Ch.; Deniau, H.: 3D steady and unsteady bifurcations in a shock-wave/laminar boundary layer interaction: a numerical study (2006)
  17. Liou, Meng-Sing: A sequel to AUSM II: AUSM$^+$-up for all speeds (2006)
  18. Kim, Kyu Hong; Kim, Chongam: Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. II: Multi-dimensional limiting process (2005)
  19. Kim, Kyu Hong; Kim, Chongam: Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. I: Spatial discretization (2005)
  20. Dumbser, Michael; Moschetta, Jean-Marc; Gressier, Jérémie: A matrix stability analysis of the carbuncle phenomenon (2004)

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