Direct numerical simulation study on the mechanisms of the magnetic field influencing the turbulence in compressible magnetohydrodynamic flow

References

• Knaepen B, Moreau R. Magnetohydrodynamic turbulence at low magnetic Reynolds number. Annu Rev Fluid Mech. 2008;40:25–45.
   Web of Science ®Google Scholar
• Gurijanov EP, Harsha PT. AJAX: new directions in hypersonic technology. Space Plane and Hypersonic Systems and Technology Conference; 1996 Nov 18-22; Norfolk, VA. Reston(VA): AIAA; 1997.
   Google Scholar
• Li YW, Zhang BL, Li YH, et al. Cí liú t dòng lì xué zài háng kōng gōng chéng zhōng de yìng yòng yŭ zhn wàng [Applications and prospects of magnetohydrodynamics in aeronautical engineering]. Adv Mech. 2017;47:452–502.
   Google Scholar
• Kenjereš S. On modeling and eddy-resolving simulations of flow, turbulence, mixing and heat transfer of electrically conducting and magnetizing fluids: a review. Int J Heat Fluid Flow. 2018;73:270–297.
   Web of Science ®Google Scholar
• Kuranov AL, Sheikin EG. Magnetohydrodynamic control on hypersonic aircraft under “AJAX” concept. J Spacecraft Rockets. 2003;40(2):174–182.
   Web of Science ®Google Scholar
• Park C, Bogdanoff DW, Mehta UB. Theoretical performance of a magnetohydrodynamic-bypass scramjet engine with nonequilibrium ionization. J Propul Power. 2003;19(4):529–537.
   Web of Science ®Google Scholar
• Gaitonde DV. Magnetohydrodynamic energy-bypass procedure in a three-dimensional scramjet. J Propul Power. 2006;22(3):498–510.
   Web of Science ®Google Scholar
• Kayukawa N. New fossil power systems and the role of open-cycle magnetohydrodynamics generators. J Propul Power. 2002;18(4):871–878.
   Web of Science ®Google Scholar
• Takai Y, Naganuma Y, Takayanagi S, et al. Study on pulsed linear MHD accelerator using model rocket engine. 50th AIAA Aerospace Sciences Meeting; 2012 Jan 9–12; Nashville, TN. Reston(VA): AIAA; 2002.
   Google Scholar
• Romig MF. The influence of electric and magnetic fields on heat transfer to electrically conducting fluids. Amsterdam: Elsevier Ltd; 1964. p. 267-354
   Google Scholar
• Shneider MN, Macheret SO, Miles RB. Analysis of magnetohydrodynamic control of scramjet inlets. AIAA J. 2004;42(11):2303–2310.
   Google Scholar
• Wang J, Li YH, Xing F. Investigation on oblique shock wave control by arc discharge plasma in supersonic airflow. J Appl Phys. 2009;106:073307.
   Web of Science ®Google Scholar
• Tian ZY, Zhang KP, Pan S, et al. Cí liú t dòng lì xué xié jī bō kòng zhì shù zhí mó n fēn xī [Numerical investigation and analysis for MHD oblique shock control]. Chin Q Mech. 2008;29(1):72–78.
   Google Scholar
• Petit JP, Geffray J. Wall confinement technique by magnetic gradient inversion accelerators combining induction effect and pulsed ionization applications. Acta Phys Pol A. 2009;115(6):1162–1163.
   Web of Science ®Google Scholar
• Zheng XM, Lyu HY, Xu DJ, et al. MHD jiā sù qì mó shì cí kòng jìn qì dào de yōu huà shè jì [Optimization of accelerator mode MHD controlled inlet]. Acta Aero Astron Sinica. 2010;31:223–230.
   Google Scholar
• Su CB, Li YH, Cheng BQ, et al. Experimental investigation of MHD flow control for the oblique shock wave around the ramp in low-temperature supersonic flow. Chin J Aero. 2010;23(1):22–32.
   Web of Science ®Google Scholar
• Lapushkina TA, Erofeev AV. Supersonic flow control via plasma, electric and magnetic impacts. Aero Sci Technol. 2017;69:313–320.
   Web of Science ®Google Scholar
• Kalra C, Shneider MN, Miles RB. Numerical study of boundary layer separation control using magnetogasdynamic plasma actuators. Phys Fluids. 2009;21:106101.
   Web of Science ®Google Scholar
• Dietiker DF, Hoffmann KA. Boundary layer control in magnetohydrodynamic flows. 40th AIAA Aerospace Sciences Meeting & Exhibit; 2002 Jan 14–17; Reno, NV. Reston(VA): AIAA; 2002.
   Google Scholar
• Dietiker DF, Hoffmann KA. Numerical simulation of MHD flows with the generalized Ohm's law. 41st AIAA Aerospace Sciences Meeting & Exhibit; 2003 Jan 6–9; Reno, NV. Reston(VA): AIAA; 2003.
   Google Scholar
• Mikhail NS, Sergey OM. Hypersonic aerodynamic control and thrust vectoring by nonequilibrium cold-air MHD devices. 43rd AIAA Aerospace Sciences Meeting & Exhibit; 2005 Jan 10–13; Reno, NV. Reston(VA): AIAA; 2005.
   Google Scholar
• Hartmann J, Lazarus F. Hg-dynamics II: experimental investigations on the flow of mercury in a homogeneous magnetic field. Math Fys Medd. 1937;15(7):1–45.
   Google Scholar
• Resler EL, Sears WR. The prospects for magneto-aerodynamics. J Aeronaut Sci. 1958;25:235–245.
   Google Scholar
• Fan YH, Jiang CW, Gao ZX, et al. Cí liú t tuān liú jí shù zhí mó nyán jiū zōng shù [Review of the magnetohydrodynamic turbulence and its numerical simulation]. Mech Eng. 2016;38(1):14–21.
   Google Scholar
• Moffatt HK. On the suppression of turbulence by a uniform magnetic field. J Fluid Mech. 1967;28(3):571–592.
   Google Scholar
• Zikanov O, Thess A. Direct numerical simulation of forced MHD turbulence at low magnetic Reynolds number. J Fluid Mech. 1998;358:299–333.
   Web of Science ®Google Scholar
• Chen Z, Lee CH, Zhang JB. Nonlinear eddy viscosity k-ω turbulence model for incompressible low ReM magnetohydrodynamic flows. Sci Sinica Phys Mech Astron. 2011;41(8):995–1002.
   Google Scholar
• Brouillette EC, Lykoudis PS. Magneto-fluid-mechanic channel flow. I. Experiment. Phys Fluids. 1967;10(5):995–1001.
   Web of Science ®Google Scholar
• Kobayashi H. Large-eddy simulation of MHD turbulent duct flows using a dynamic subgrid-scale model. 38th Plasmadynamics and Lasers Conference; 2007 Jun 25–28; Miami, FL. Reston(VA): AIAA; 2007.
   Google Scholar
• Lee D, Choi H. Magnetohydrodynamic turbulent flow in a channel at low magnetic Reynolds number. J Fluid Mech. 2001;439:367–394.
   Web of Science ®Google Scholar
• Sommeria J, Moreau R. Why, how and when, MHD turbulence becomes two-dimensional. J Fluid Mech. 1982;118:507–518.
   Web of Science ®Google Scholar
• Shionoya H, Kobayashi H, Okuno Y. Numerical study on turbulent flows in a liquid metal MHD generator. 42nd Plasmadynamics and Lasers Conference; 2011 Jun 27–30; Honolulu, HI. Reston(VA): AIAA; 2011.
   Google Scholar
• Fan YH. Theoretical modeling and numerical study of high speed compressible magnetohydrodynamic turbulence [dissertation]. Beijing: Beihang University; 2019.
   Google Scholar
• Yokoi N. Mass and internal-energy transports in strongly compressible magnetohydrodynamic turbulence. J Plasma Phys. 2018;84(6):775840463.
   Web of Science ®Google Scholar
• Chernyshov AA, Karelsky KV, Petrosyan AS. Large-eddy simulation of magnetohydrodynamic turbulence in compressible fluid. Phys Plasma. 2006;13:032304.
   Web of Science ®Google Scholar
• Chernyshov AA, Karelsky KV, Petrosyan AS. Development of large eddy simulation for modeling of decaying compressible magnetohydrodynamic turbulence. Phys Fluids. 2007;19:055106.
   Web of Science ®Google Scholar
• Chernyshov AA, Karelsky KV, Petrosyan AS. Modeling of compressible magnetohydrodynamic turbulence in electrically and heat conducting fluid using large eddy simulation. Phys Fluids. 2008;20:085106.
   Web of Science ®Google Scholar
• Grete P, O’Shea B, Beckwith K, et al. Energy transfer in compressible magnetohydrodynamic turbulence. Phys Plasma. 2017;24:092311.
   Web of Science ®Google Scholar
• Yang Y, Matthaeus WH, Shi YP, et al. Compressibility effect on coherent structures, energy transfer, and scaling in magnetohydrodynamic turbulence. Phys Fluids. 2017;29:035105.
   Web of Science ®Google Scholar
• Andres N, Sahraoui F, Galtier S, et al. Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory. Phys Rev Lett. 2019;123:245101.
   PubMed Web of Science ®Google Scholar
• Van Gorder RA, Vajravelu K. Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner–skan flow. Commun Nonlinear Sci Numer Simulat. 2010;15:2272–2277.
   Web of Science ®Google Scholar
• Guo L, Li FC, Xie F. Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions. J Differ Equations. 2019;267(12):6910–6957.
   Web of Science ®Google Scholar
• Ishihara T, Gotoh T, Kaneda Y. Study of high–reynolds number isotropic turbulence by direct numerical simulation. Annu Rev Fluid Mech. 2009;41:165–180.
   Web of Science ®Google Scholar
• Mininni PD, Pouquet A. Finite dissipation and intermittency in magnetohydrodynamics. Phys Rev E. 2009;80:025401(R).
   Web of Science ®Google Scholar
• Servidio S, Matthaeus WH, Dmitruk P. Depression of nonlinearity in decaying isotropic MHD turbulence. Phys Rev Lett. 2008;100:095005.
   PubMed Web of Science ®Google Scholar
• Anderson J Jr.. Hypersonic and high-temperature gas dynamics. Reston: AIAA Inc; 2006.
   Google Scholar
• Vire A, Krasnov D, Knaepen B, et al. Large-Eddy simulations of turbulent hydrodynamic and magnetohydrodynamic channel flows. 61st Annual Meeting of the APS Division of Fluid Dynamics; 2008 Nov 23–25; San Antonio, TX. Ridge(NY): APS, 2009.
   Google Scholar
• Chen L, Tang DB. Navier-Stokes characteristic boundary conditions for simulations of some typical flows. Appl Math Sci. 2010;4(18):879–893.
   Google Scholar
• Muller U, Buhler L. Magnetofluiddynamics in channels and containers. Berlin: Springer; 2001.
   Google Scholar
• Samtaney R, Pullin DI, Kosovic B. Direct numerical simulation of decaying compressible turbulence and shocklet statistics. Phys Fluids. 2001;13(5):1415–1430.
   Web of Science ®Google Scholar
• Lumley JL, Newman GR. The return to isotropy of homogeneous turbulence. J Fluid Mech. 1977;82:161–178.
   Web of Science ®Google Scholar
• Lumley JL. Computational modeling of turbulent flows. Adv Appl Mech. 1978;18:123–176.
   Google Scholar
• Schumann U. Numerical simulation of the transition from three- to two-dimensional turbulence under a uniform magnetic field. J Fluid Mech. 1976;74:31–58.
   Web of Science ®Google Scholar
• Alemany A, Moreau R, Sulem PL, et al. Influence of external magnetic field on homogeneous MHD turbulence. J Mech. 1979;18:277–313.
   Google Scholar
• Kenjeres S, Hanjalic K. On the implementation of effects of Lorentz force in turbulence closure models. Int J Heat Fluid Flow. 2000;21(3):329–337.
   Web of Science ®Google Scholar
• Kenjeres S, Hanjalic K, Bal D. Direct-numerical-simulation-based second-moment closure for turbulent magnetohydrodynamic flows. Phys Fluids. 2004;16(5):1229–1241.
   Web of Science ®Google Scholar