A sequel to AUSM II: AUSM + -up for all speeds. We present ideas and procedure to extend the AUSM-family schemes to solve flows at all speed regimes. To achieve this, we first focus on the theoretical development for the low Mach number limit. Specifically, we employ asymptotic analysis to formally derive proper scalings for the numerical fluxes in the limit of small Mach number. The resulting new scheme is shown to be simple and remarkably improved from previous schemes in robustness and accuracy. The convergence rate is shown to be independent of Mach number in the low Mach number regime up to M ∞ =0·5, and it is also essentially constant in the transonic and supersonic regimes. Contrary to previous findings, the solution remains stable, even if no local preconditioning matrix is included in the time derivative term, albeit a different convergence history may occur. Moreover, the new scheme is demonstrated to be accurate against analytical and experimental results. In summary, the new scheme, named AUSM+-up, improves over previous versions and eradicates fails found therein.

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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. Chen, Shusheng; Lin, Boxi; Li, Yansu; Yan, Chao: HLLC+: low-Mach shock-stable HLLC-type Riemann solver for all-speed flows (2020)
  3. D’Alessandro, Valerio; Falone, Matteo; Ricci, Renato: Direct computation of aeroacoustic fields in laminar flows: solver development and assessment of wall temperature effects on radiated sound around bluff bodies (2020)
  4. Ejtehadi, Omid; Myong, R. S.: A modal discontinuous Galerkin method for simulating dusty and granular gas flows in thermal non-equilibrium in the Eulerian framework (2020)
  5. Iampietro, D.; Daude, F.; Galon, P.: A low-diffusion self-adaptive flux-vector splitting approach for compressible flows (2020)
  6. Li, Zhiyong; Tang, Tingting; Liu, Yu; Arcondoulis, Elias J. G.; Yang, Yannian: Implementation of compressible porous-fluid coupling method in an aerodynamics and aeroacoustics code. II: Turbulent flow (2020)
  7. Li, Zhiyong; Zhang, Huaibao; Liu, Yu; McDonough, James M.: Implementation of compressible porous-fluid coupling method in an aerodynamics and aeroacoustics code. I: Laminar flow (2020)
  8. Manueco, Lucas; Weiss, Pierre-Elie; Deck, Sébastien: On the estimation of unsteady aerodynamic forces and wall spectral content with immersed boundary conditions (2020)
  9. Moguen, Yann; Dick, Erik: Diffusion and dissipation in acoustic propagation simulation by convection-pressure split algorithms in all Mach number form (2020)
  10. Musa, Omer; Huang, Guoping; Yu, Zonghan; Li, Qian: An improved Roe solver for high order reconstruction schemes (2020)
  11. Ramjatan, Sahadeo; Lani, A.; Boccelli, S.; Van Hove, B.; Karatekin, Ö.; Magin, T.; Thoemel, J.: Blackout analysis of Mars entry missions (2020)
  12. Ching, Eric J.; Lv, Yu; Gnoffo, Peter; Barnhardt, Michael; Ihme, Matthias: Shock capturing for discontinuous Galerkin methods with application to predicting heat transfer in hypersonic flows (2019)
  13. Harris, Michael F.; Kassab, Alain J.; Divo, Eduardo: A shock-capturing meshless scheme using RBF blended interpolation and moving least squares (2019)
  14. Jiang, Yuewen: Algebraic-volume meshfree method for application in finite volume solver (2019)
  15. Labourasse, E.: A low-Mach correction for multi-dimensional finite volume shock capturing schemes with application in Lagrangian frame (2019)
  16. Lai, Jianqi; Li, Hua; Tian, Zhengyu; Zhang, Ye: A multi-GPU parallel algorithm in hypersonic flow computations (2019)
  17. Li, Xintao; Lyu, Zhen; Kou, Jiaqing; Zhang, Weiwei: Mode competition in galloping of a square cylinder at low Reynolds number (2019)
  18. Moghimi, Mohsen H.; Quinlan, Nathan J.: A model for surface tension in the meshless finite volume particle method without spurious velocity (2019)
  19. Moghimi, Mohsen H.; Quinlan, Nathan J.: Application of background pressure with kinematic criterion for free surface extension to suppress non-physical voids in the finite volume particle method (2019)
  20. Moguen, Yann; Bruel, Pascal; Dick, Erik: A combined momentum-interpolation and advection upstream splitting pressure-correction algorithm for simulation of convective and acoustic transport at all levels of Mach number (2019)

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