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YNU Aerodynamics Lab.

Aerodynamics Laboratory

Numerical Methods for Compressible Flows


# Post Limiter (simple a posteriori limiter) (Kitamura-Hashimoto, JCP2017) has been published in Journal of Computational Physics. 10.1016/j.jcp.2017.04.002

# Dear SLAU2 (Kitamura-Shima, JCP2013) users: Thank you for choosing our flux function. The minmod limiter is recommended in combination with SLAU2, as detailed in Kitamura, CAF 2016. doi:10.1016/j.compfluid.2016.02.006 @[Preprint]

We are developing computational fluid dynamics (CFD) methods that are of high academic value and also contribute to vehicle designs.
  • Transonic Flows (Numerical Error Reduction)

    A buffet, involving shock-wave/turbulent-boundary-layer interaction (STBLW), can occur at transonic speeds.
    In order to capture this physics-rich phenomenon accurately, we propose a new limiter function (a posteriori Limiter) and hi-res (high-resolution) flux functions such as HR-SLAU2, in collabollation with JAXA.

    - Kitamura, K., Aogaki, T., Inatomi, A., Fukumoto, K., Takahama, T., and Hashimoto, A.: Post Limiters and Simple Dirty-Cell Detection for Three-Dimensional, Unstructured, (Unlimited) Aerodynamic Simulations, AIAA Journal, Vol. 56, No. 8, 2018, pp. 3192-3204. doi:10.2514/1.J056683 [Preprint]
    - Kitamura, K. and Hashimoto, A.: Simple a posteriori slope limiter (Post Limiter) for high resolution and efficient flow computations, Journal of Computational Physics, Vol.341, 2017, pp. 313-340. doi:10.1016/j.jcp.2017.04.002
    - Kitamura, K. and Hashimoto, A.: Reduced Dissipation AUSM-Family Fluxes: HR-SLAU2 and HR-AUSM+-up for High Resolution Unsteady Flow Simulations, Computers & Fluids, Vol.126, 2016, pp. 41-57. doi:10.1016/j.compfluid.2015.11.014
    - Kitamura, K., and Shima, E.: Simple and Parameter-Free Second Slope Limiter for Unstructured Grid Aerodynamic Simulations, AIAA Journal, Vol. 50, No. 6, 2012, pp.1415-1426. doi:10.2514/1.J051269
  • Hypersonic Flows (Carbuncle Phenomenon, Aerodynamic Heating)

    In hypersonic flow computations, shock anomalous solutions such as "carbuncle phenomenon" have been reported.
    Robust methods against those anomalies (e.g., SLAU2) are strongly recommended for prediction of aerodynamic heating, for instance, on hypersonic reeenty vehicles.
    - Kitamura, K. and Shima, E.: Numerical Experiments on Anomalies from Stationary, Slowly Moving, and Fast-Moving Shocks, AIAA Journal, (Accepted).
    - Kitamura, K.: Assessment of SLAU2 and Other Flux Functions with Slope Limiters in Hypersonic Shock-Interaction Heating, Computers & Fluids, Vol.129, 2016, pp.134-145. doi:10.1016/j.compfluid.2016.02.006
    - Kitamura, K. and Shima, E.: Towards shock-stable and accurate hypersonic heating computations: A new pressure flux for AUSM-family schemes, Journal of Computational Physics, Vol.245, 2013, pp.62-83. doi:10.1016/j.jcp.2013.02.046
    - Kitamura, K., Shima, E., and Roe, P.: Carbuncle Phenomena and Other Shock Anomalies in Three Dimensions, AIAA Journal, Vol. 50, No. 12, 2012, pp.2655-2669. doi:10.2514/1.J051227
    - Kitamura, K., Shima, E., Nakamura, Y., and Roe, P.L.: Evaluation of Euler Fluxes for Hypersonic Heating Computations, AIAA Journal, Vol.48, No.4, 2010, pp.763-776. doi:10.2514/1.41605
    - Kitamura, K., Roe, P., and Ismail, F.: Evaluation of Euler Fluxes for Hypersonic Flow Computations, AIAA Journal, Vol.47, No.1, 2009, pp.44-53. doi:10.2514/1.33735
    - Nishikawa, H. and Kitamura, K.: Very Simple, Carbuncle-Free, Boundary-Layer-Resolving, Rotated-Hybrid Riemann Solvers, Journal of Computational Physics, Vol.227, No.4, 2008, pp.2560-2581. doi:10.1016/j.jcp.2007.11.003

  • Low-Speed Flows (Low-Dissipation Flux Function and Preconditioning)

    At low speeds, say Mach 0.1 and smaller, compressible flow solvers are known to encounter erroneous solutions and convergence difficulty.
    SLAU and its variants are able to control numerical dissipation properly (for a better solution), and can be combined with a preconditioning matrix (which accellerates convergence).
    Such numerical fluxes are therefore labelled as "all-speed schemes."

    - Kitamura, K., Shima, E., Fujimoto, K., and Wang, Z.J.: Performance of Low-Dissipation Euler Fluxes and Preconditioned LU-SGS at Low Speeds, Communications in Computational Physics, Vol.10, No.1, 2011, pp.90-119. doi:10.4208/cicp.270910.131110a
    - Shima, E. and Kitamura, K.(*): Parameter-Free Simple Low-Dissipation AUSM-Family Scheme for All Speeds, AIAA Journal, Vol.49, No.8, 2011, pp.1693-1709. doi:10.2514/1.55308

  • Multiphase Flows (Two-Fluid Model)

    Numerical methods for multiphase flows are still being developed.
    In particular, "cavitation" (in which air-bubbles emerge in water) was reported as one of the causes of the past rocket failure.
    In collaboration with Dr. Meng-Sing Liou at NASA Glenn Research Center, we applied new methods such as SLAU2 to two-fluid model, one of multiphase flow computation methods, and solved an air-bubble/water-shockwave interaction problem successfully.

    - Kitamura, K. and Nonomura, T.: Assessment of WENO-extended two-fluid modelling in compressible multiphase flows, International Journal of Computational Fluid Dynamics, Vol.31, Issue 3, 2017, pp.188-194. doi:10.1080/10618562.2017.1311410
    - Kitamura, K. and Nonomura, T.: Simple and Robust HLLC Extensions of Two-Fluid AUSM for Multiphase Flow Computations, Computers & Fluids, Vol.100, 2014, pp.321-335. doi:10.1016/j.compfluid.2014.05.019
    - Kitamura, K., Liou, M.-S., and Chang, C.-H.: Extension and Comparative Study of AUSM-Family Schemes for Compressible Multiphase Flow Simulations, Communications in Computational Physics, Vol.16, No.3, 2014, pp.632-674. doi:10.4208/cicp.020813.190214a
    - Nonomura, T., Kitamura, K., and Fujii, K.: A Simple Interface Sharpening Technique with a Hyperbolic Tangent Function Applied to Compressible Two-Fluid Modeling, Journal of Computational Physics, Vol.258, 2014, pp.95-117. doi: 10.1016/j.jcp.2013.10.021
  • Supercritical Fluids, MHD, and Shock-Detection
    - Kitamura, K., and Balsara, D.S.: Hybridized SLAU2-HLLI and Hybridized AUSMPW+-HLLI Riemann Solvers for Accurate, Robust, and Efficient Magnetohydrodynamics (MHD) Simulations, Part I: One-Dimensional MHD, Shock Waves, (Accepted). doi:10.1007/s00193-018-0842-0
    - Kitamura, K. and Shima, E.: Pressure-equation-based SLAU2 for oscillation-free, supercritical flow simulations, Computers & FluidsCVol.163, 2018, pp.86-96. doi:10.1016/j.compfluid.2018.01.001
    - Fujimoto, T., Kawasaki, T., and Kitamura, K.: Simpler Method of Shock Wave Detection by Using Canny Method, AIAA-2018-4274, AIAA AVIATION Forum 2018, Atlanta, GA, Jun-29-2018.


Aerodynamic Analyses

Various fluid dynamic phenomena (aerodynamic phenomena) have been clarified by CFD.

  • Epsilon Launch Vehicle

    Aerodynamic analyses on Epsilon Launch Vehicle (Japanese solid rocket), which made its first flight in September 2013.

    - Harada, T., Kitamura, K., and Nonaka, S.: Roll Moment Characteristics of Supersonic Flight Vehicle Equipped with Asymmetric Protuberance, Trans. JSASS Aerospace Tech. Japan "ISTS Special Issue", 2019. https://doi.org/10.2322/tastj.17.111
    - Harada, T., Kawauchi, K., Kitamura, K., and Nonaka, S.: Side Force Characteristics of Supersonic Flight Vehicle Equipped with Asymmetric Protuberance, AIAA Paper 2019-0299, AIAA SciTech Forum 2019, San Diego, CA, Jan. 2019.
    - Kitamura, K., Nonaka, S., Kuzuu, K., Aono, J., Fujimoto, K., and Shima, E.: Numerical and Experimental Investigations of Epsilon Launch Vehicle Aerodynamics at Mach 1.5, Journal of Spacecraft and Rockets, Vol.50, No.4, 2013, pp.896-916. doi:10.2514/1.A32284

  • Future Space Transportation Systems

    Reusable Sounding Rocket, Supersonic Parachute, etc.


    - Aogaki, T., Kitamura, K., and Nonaka, S.: High Angle-of-Attack Pitching Moment Characteristics of Slender-Bodied Reusable Rocket, Journal of Spacecraft and Rockets, Vol. 55, No. 6, 2018, pp.1476-1489. doi:10.2514/1.A34211 [Preprint]
    - Aogaki, T., Kitamura, K., and Nonaka, S.: Computational Study on Finned Reusable Rocket during Turnover, Trans. JSASS Aerospace Tech. Japan "ISTS Special Issue", 2019. https://doi.org/10.2322/tastj.17.104
    - Inatomi, A., Kitamura, K., and Nonaka, S.: Numerical Analysis on Reusable Rocket Aerodynamics with Reduced-Yaw-Force Configurations, Trans. JSASS Aerospace Tech. Japan "ISTS Special Issue", 2019. https://doi.org/10.2322/tastj.17.439
    - Fukumoto, K., Kitamura, K., Mori, K., and Kurata, R.: The Influences of Band-Support-Structure of Rigid Supersonic Parachute on Its Surface Flowfield and Drag Coefficient, 15th Joint Symposium between Sister Universities in Mechanical Engineering (JSSUME2018 HAMAMATSU), Shizuoka University, Hamamatsu, Japan, Aug-19-2018.
    - Takagi, Y., Aogaki, T., Kitamura, K., and Nonaka, S.: Numerical Study on Aerodynamic Improvement of Slender-bodied Reusable Rocket by Fins and Vortex Flaps, 15th International Space Conference of Pacific-basin Societies (ISCOPS), Montreal, Canada, Jul. 2018.
    - Aogaki, T., Kitamura, K. (YNU), and Nonaka, S. (JAXA): Computational Study of Aerodynamic Characteristics of Reusable Rocket at High-Angle-of-Attack, AIAA Paper 2017-1212, 55th AIAA Aerospace Sciences Meeting (AIAA SciTech 2017), Grapevine, TX, Jan. 2017.

  • Future Aircraft

    Low-Reynolds-number Airfoil, Propeller, Flying Car, Drone, etc.

    - Mano, S., Kitamura, K.(*), Doi, K., and Nakamura, Y.: Numerical Simulation Based on CFD for Aerodynamic Characteristics of Kite in Flight, Trans. JSASS Aerospace Tech. Japan, Vol.12, pp.1-10, 2014. doi:10.2322/tastj.12.1
    - Yasuda, H., Kitamura, K., and Nakamura, Y.: Numerical Analysis of Flow Field and Aerodynamic Characteristics of a Quadrotor, Trans. JSASS Aerospace Tech. Japan, Vol.11, pp.61-70, 2013. doi:10.2322/tastj.11.61
    - Murakami, K., Kitamura, K., Hashimoto, A., Aoyama, T. and Nakamura, Y.: Research on Acoustic Environment during Rocket Launch, Theoretical and Applied Mechanics Japan, Vol.56, 2008, pp.463-469.
    - Harada, N., Kitamura, K., Okutsu, Y., Hamamoto, N., Mori, K., and Nakamura, Y.: Numerical Simulation of Moving Droplets and their Paths on the Surface of a Body Placed in Airflow, ICJWSF2013-1105, 4th International Conference on Jets, Wakes and Separated Flows (ICJWSF2013), Nagoya, Japan, Sep. 17-21, 2013.
    - Hori, D., Shimizu, T., Kitamura, K., Kuzuu, K., and Oyama, A.: Slit Resonator Damping Estimation and Proposal of a New Geometry, AIAA Paper 2012-2095, 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference), Colorado Springs, CO, June 4-6, 2012.

Wind Tunnel Tests on Vehicle Aerodynamics




- Kawauchi, K., Harada, T., Kitamura, K., and Nonaka, S.: Experimental and Numerical Investigations of Slender Body Side Force with Asymmetric Protuberances, Journal of Spacecraft and Rockets, (Accepted).
- Kawauchi, K., Harada, T., Kitamura, K., and Nonaka, S.: Wind Tunnel Experiment on Slender Body Aerodynamics with Asymmetric Protuberances at Mach 1.5, 15th Joint Symposium between Sister Universities in Mechanical Engineering (JSSUME2018 HAMAMATSU), Shizuoka University, Hamamatsu, Japan, Aug-19-2018.

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