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Articles de revues sur le sujet « Low-Mach number flows »

Auteur : Grafiati

Publié le 25 janvier 2025

Mis à jour le 31 juillet 2025

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1

Alazard, Thomas. "Low Mach Number Flows and Combustion." SIAM Journal on Mathematical Analysis 38, no. 4 (2006): 1186–213. http://dx.doi.org/10.1137/050644100.

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2

Dwyer, Harry A. "Calculation of low Mach number reacting flows." AIAA Journal 28, no. 1 (1990): 98–105. http://dx.doi.org/10.2514/3.10358.

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3

Pozorski, J., and A. Kajzer. "Density diffusion in low Mach number flows." Journal of Physics: Conference Series 2367, no. 1 (2022): 012027. http://dx.doi.org/10.1088/1742-6596/2367/1/012027.

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Abstract In the realm of compressible viscous flow modelling, we briefly revisit the debate on a possible inconsistency of the Navier-Stokes (NS) equations. Then, we recall a recent proposal from the literature, put forward by M. Svärd. One of its features is the mass diffusive term in the continuity equation. The presence of density diffusion in the Svärd model reduces dispersive numerical errors when simple centred 2nd order, numerical diffusion free, spatial schemes are used, as confirmed in the simulations of a doubly-periodic shear layer at Ma = 0.05 and Re = 104. Further reduction of the

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4

Penel, Yohan, Stephane Dellacherie, and Bruno Després. "Coupling strategies for compressible-low Mach number flows." Mathematical Models and Methods in Applied Sciences 25, no. 06 (2015): 1045–89. http://dx.doi.org/10.1142/s021820251550027x.

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In order to enrich the modeling of fluid flows, we investigate in this paper a coupling between two models dedicated to distinct regimes. More precisely, we focus on the influence of the Mach number as the low Mach case is known to induce theoretical and numerical issues in a compressible framework. A moving interface is introduced to separate a compressible model (Euler with source term) and its low Mach counterpart through relevant transmission conditions. A global steady state for the coupled problem is exhibited. Numerical simulations are then performed to highlight the influence of the co

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5

Filippova, O., and D. Hänel. "Lattice-BGK Model for Low Mach Number Combustion." International Journal of Modern Physics C 09, no. 08 (1998): 1439–45. http://dx.doi.org/10.1142/s0129183198001308.

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For the simulation of low Mach number reactive flows with significant density changes a modified lattice-BGK model in combination with the conventional convective-diffusion solvers for equations of temperature and species is proposed. Together with boundary-fitting conditions and local grid refinement the scheme enables the accurate consideration of low Mach number combustion in complex geometry as the flows around porous burners or droplets combustion.

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6

Duarte, Max, Ann S. Almgren, and John B. Bell. "A Low Mach Number Model for Moist Atmospheric Flows." Journal of the Atmospheric Sciences 72, no. 4 (2015): 1605–20. http://dx.doi.org/10.1175/jas-d-14-0248.1.

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Abstract A low Mach number model for moist atmospheric flows is introduced that accurately incorporates reversible moist processes in flows whose features of interest occur on advective rather than acoustic time scales. Total water is used as a prognostic variable, so that water vapor and liquid water are diagnostically recovered as needed from an exact Clausius–Clapeyron formula for moist thermodynamics. Low Mach number models can be computationally more efficient than a fully compressible model, but the low Mach number formulation introduces additional mathematical and computational complexi

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7

Woosely, S. E., A. J. Aspden, J. B. Bell, A. R. Kerstein, and V. Sankaran. "Numerical simulation of low Mach number reacting flows." Journal of Physics: Conference Series 125 (July 1, 2008): 012012. http://dx.doi.org/10.1088/1742-6596/125/1/012012.

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8

Shimomura, Yutaka. "Turbulent transport modeling in low Mach number flows." Physics of Fluids 11, no. 10 (1999): 3136–49. http://dx.doi.org/10.1063/1.870171.

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9

Bell, J. B., A. J. Aspden, M. S. Day, and M. J. Lijewski. "Numerical simulation of low Mach number reacting flows." Journal of Physics: Conference Series 78 (July 1, 2007): 012004. http://dx.doi.org/10.1088/1742-6596/78/1/012004.

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10

Schochet, Steven. "The mathematical theory of low Mach number flows." ESAIM: Mathematical Modelling and Numerical Analysis 39, no. 3 (2005): 441–58. http://dx.doi.org/10.1051/m2an:2005017.

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11

Danchin, Raphaël. "Low Mach number limit for viscous compressible flows." ESAIM: Mathematical Modelling and Numerical Analysis 39, no. 3 (2005): 459–75. http://dx.doi.org/10.1051/m2an:2005019.

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12

Mary, Ivan, Pierre Sagaut, and Michel Deville. "An algorithm for low Mach number unsteady flows." Computers & Fluids 29, no. 2 (2000): 119–47. http://dx.doi.org/10.1016/s0045-7930(99)00007-9.

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13

Alì, G. "Low Mach Number Flows in Time-Dependent Domains." SIAM Journal on Applied Mathematics 63, no. 6 (2003): 2020–41. http://dx.doi.org/10.1137/s0036139902400738.

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14

Xu, Jian-Hua, Wen-Ping Song, Zhong-Hua Han, and Zi-Hao Zhao. "Effect of mach number on high-subsonic and low-Reynolds-number flows around airfoils." International Journal of Modern Physics B 34, no. 14n16 (2020): 2040112. http://dx.doi.org/10.1142/s0217979220401128.

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High-subsonic and low-Reynolds-number flow is a special aerodynamic problem associated with near space propellers and Mars aircrafts. The flow around airfoils and the corresponding aerodynamic performance are different from the incompressible flow at low-Reynolds-number, due to complex shock wave-laminar separation bubble interaction. The objective of this paper is to figure out the effect of Mach number on aerodynamic performance and special flow structure of airfoil. An in-house Reynolds-averaged Navier–Stokes solver coupled with [Formula: see text] transition model is employed to simulate t

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15

Feireisl, Eduard, and Hana Petzeltová. "Low Mach number asymptotics for reacting compressible fluid flows." Discrete & Continuous Dynamical Systems - A 26, no. 2 (2010): 455–80. http://dx.doi.org/10.3934/dcds.2010.26.455.

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16

Filippova, Olga. "Multiscale lattice Boltzmann schemes for low Mach number flows." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 360, no. 1792 (2002): 467–76. http://dx.doi.org/10.1098/rsta.2001.0954.

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17

Teleaga, Ioan, and Mohammed Seaïd. "Simplified radiative models for low-Mach number reactive flows." Applied Mathematical Modelling 32, no. 6 (2008): 971–91. http://dx.doi.org/10.1016/j.apm.2007.02.021.

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18

Ou, Yaobin. "Low Mach number limit of viscous polytropic fluid flows." Journal of Differential Equations 251, no. 8 (2011): 2037–65. http://dx.doi.org/10.1016/j.jde.2011.07.009.

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19

Hu, Xianpeng, and Dehua Wang. "Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows." SIAM Journal on Mathematical Analysis 41, no. 3 (2009): 1272–94. http://dx.doi.org/10.1137/080723983.

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20

Teleaga, Ioan, Mohammed Seaïd, Ingenuin Gasser, Axel Klar, and Jens Struckmeier. "Radiation models for thermal flows at low Mach number." Journal of Computational Physics 215, no. 2 (2006): 506–25. http://dx.doi.org/10.1016/j.jcp.2005.11.015.

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21

Metzner, M., and G. Wittum. "Computing low Mach number flows by parallel adaptive multigrid." Computing and Visualization in Science 9, no. 4 (2006): 259–69. http://dx.doi.org/10.1007/s00791-006-0025-x.

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22

Shima, Eiji, and Keiichi Kitamura. "New approaches for computation of low Mach number flows." Computers & Fluids 85 (October 2013): 143–52. http://dx.doi.org/10.1016/j.compfluid.2012.11.017.

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23

Lange, H. C. de. "Split time-integration for low Mach number compressible flows." Communications in Numerical Methods in Engineering 20, no. 7 (2004): 501–9. http://dx.doi.org/10.1002/cnm.687.

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24

Meister, A. "Asymptotic based preconditioning technique for low Mach number flows." ZAMM 83, no. 1 (2003): 3–25. http://dx.doi.org/10.1002/zamm.200310002.

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25

Meister, A. "Asymptotic based preconditioning technique for low Mach number flows." ZAMM 83, no. 4 (2003): 287–88. http://dx.doi.org/10.1002/zamm.200390008.

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26

Chakravorty, Saugata, and Joseph Mathew. "A high-resolution scheme for low Mach number flows." International Journal for Numerical Methods in Fluids 46, no. 3 (2004): 245–61. http://dx.doi.org/10.1002/fld.741.

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27

Lee, Sang-Hyeon. "Effects of condition number on preconditioning for low Mach number flows." Journal of Computational Physics 231, no. 10 (2012): 4001–14. http://dx.doi.org/10.1016/j.jcp.2012.02.004.

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28

VARSAKELIS, C., and M. V. PAPALEXANDRIS. "Low-Mach-number asymptotics for two-phase flows of granular materials." Journal of Fluid Mechanics 669 (January 12, 2011): 472–97. http://dx.doi.org/10.1017/s0022112010005173.

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In this paper, we generalize the concept of low-Mach-number approximation to multi-phase flows and apply it to the two-phase flow model of Papalexandris (J. Fluid Mech., vol. 517, 2004, p. 103) for granular materials. In our approach, the governing system of equations is first non-dimensionalized with values that correspond to a reference thermodynamic state of the phase with the smaller speed of sound. By doing so, the Mach number based on this reference state emerges as a perturbation parameter of the equations in hand. Subsequently, we expand each variable in power series of this parameter

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29

Fu, Jian-Ming, Hai-Min Tang, and Hong-Quan Chen. "Rapid computation of rotary derivatives for subsonic and low transonic flows." Engineering Computations 36, no. 9 (2019): 3108–21. http://dx.doi.org/10.1108/ec-09-2018-0399.

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Purpose The purpose of this paper is to develop a new approach for rapid computation of subsonic and low-transonic rotary derivatives with the available steady solutions obtained by Euler computational fluid dynamics (CFD) codes. Design/methodology/approach The approach is achieved by the perturbation on the steady-state pressure of Euler CFD codes. The resulting perturbation relation is established at a reference Mach number between rotary derivatives and normal velocity on surface due to angular velocity. The solution of the reference Mach number is generated technically by Prandtl–Glauert c

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30

Both, A., O. Lehmkuhl, D. Mira, and M. Ortega. "Low-dissipation finite element strategy for low Mach number reacting flows." Computers & Fluids 200 (March 2020): 104436. http://dx.doi.org/10.1016/j.compfluid.2020.104436.

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31

HU, ZHIWEI, CHRISTOPHER L. MORFEY, and NEIL D. SANDHAM. "Sound radiation in turbulent channel flows." Journal of Fluid Mechanics 475 (January 25, 2003): 269–302. http://dx.doi.org/10.1017/s002211200200277x.

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Lighthill’s acoustic analogy is formulated for turbulent channel flow with pressure as the acoustic variable, and integrated over the channel width to produce a two-dimensional inhomogeneous wave equation. The equivalent sources consist of a dipole distribution related to the sum of the viscous shear stresses on the two walls, together with monopole and quadrupole distributions related to the unsteady turbulent dissipation and Reynolds stresses respectively. Using a rigid-boundary Green function, an expression is found for the power spectrum of the far-field pressure radiated per unit channel

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32

Sheng, Chunhua. "A Preconditioned Method for Rotating Flows at Arbitrary Mach Number." Modelling and Simulation in Engineering 2011 (2011): 1–17. http://dx.doi.org/10.1155/2011/537464.

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An improved preconditioning is proposed for viscous flow computations in rotating and nonrotating frames at arbitrary Mach numbers. The key to the current method is the use of both free stream Mach number and rotating Mach number to construct a preconditioning matrix, which is applied to the compressible governing equations written in terms of primitive variables. A Fourier analysis is conducted that reveals the efficacy of the modified preconditioning. Numerical approximations for the convective and diffusive fluxes are detailed based on the preconditioned system of equations. A set of bounda

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33

Pebay, P. P., H. N. Najm, and J. G. Pousin. "A Non Split Projection Strategy for Low Mach Number Flows." International Journal for Multiscale Computational Engineering 2, no. 3 (2004): 445–60. http://dx.doi.org/10.1615/intjmultcompeng.v2.i3.60.

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34

Sabanca, Murat, Gunther Brenner, and Franz Durst. "Error Control and Adaptivity for Low-Mach-Number Compressible Flows." AIAA Journal 40, no. 11 (2002): 2234–40. http://dx.doi.org/10.2514/2.1585.

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35

HASEGAWA, Tatsuya. "Numerical Analysis of Combustion in Low Mach Number Turbulent Flows." Journal of the Japan Society for Aeronautical and Space Sciences 41, no. 470 (1993): 141–47. http://dx.doi.org/10.2322/jjsass1969.41.141.

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36

Sabanca, M., G. Brenner, and E. Durst. "Error control and adaptivity for low-Mach-number compressible flows." AIAA Journal 40 (January 2002): 2234–40. http://dx.doi.org/10.2514/3.15315.

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37

Bassi, F., C. De Bartolo, R. Hartmann, and A. Nigro. "A discontinuous Galerkin method for inviscid low Mach number flows." Journal of Computational Physics 228, no. 11 (2009): 3996–4011. http://dx.doi.org/10.1016/j.jcp.2009.02.021.

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38

Sabanca, Murat, Gunther Brenner, and Nafiz Alemdaro?lu. "Improvements to compressible Euler methods for low-Mach number flows." International Journal for Numerical Methods in Fluids 34, no. 2 (2000): 167–85. http://dx.doi.org/10.1002/1097-0363(20000930)34:2<167::aid-fld53>3.0.co;2-r.

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39

Gauthier, Serge, and Nicolas Schneider. "Low- and zero-Mach-number models for Rayleigh–Taylor flows." Computers & Fluids 151 (June 2017): 85–90. http://dx.doi.org/10.1016/j.compfluid.2017.02.015.

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40

Zhang, Xiao, Joseph D. Chung, Carolyn R. Kaplan, and Elaine S. Oran. "The barely implicit correction algorithm for low-Mach-Number flows." Computers & Fluids 175 (October 2018): 230–45. http://dx.doi.org/10.1016/j.compfluid.2018.08.019.

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41

Fortenbach, Roland, and Claus-Dieter Munz. "Multiscale Considerations for Sound Generation in Low Mach Number Flows." PAMM 2, no. 1 (2003): 396–97. http://dx.doi.org/10.1002/pamm.200310182.

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42

LI, CHIN-HSIEN, and ROLAND GLOWINSKI. "MODELLING AND NUMERICAL SIMULATION OF LOW-MACH-NUMBER COMPRESSIBLE FLOWS." International Journal for Numerical Methods in Fluids 23, no. 2 (1996): 77–103. http://dx.doi.org/10.1002/(sici)1097-0363(19960730)23:2<77::aid-fld403>3.0.co;2-1.

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43

Bell, J. B., M. S. Day, A. S. Almgren, M. J. Lijewski, and C. A. Rendleman. "A parallel adaptive projection method for low Mach number flows." International Journal for Numerical Methods in Fluids 40, no. 1-2 (2002): 209–16. http://dx.doi.org/10.1002/fld.310.

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44

Tyliszczak, Artur. "Projection method for high-order compact schemes for low Mach number flows in enclosures." International Journal of Numerical Methods for Heat & Fluid Flow 24, no. 5 (2014): 1141–74. http://dx.doi.org/10.1108/hff-07-2012-0167.

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Purpose – Variable density flows play an important role in many technological devices and natural phenomena. The purpose of this paper is to develop a robust and accurate method for low Mach number flows with large density and temperature variations. Design/methodology/approach – Low Mach number approximation approach is used in the paper combined with a predictor-corrector method and accurate compact scheme of fourth and sixth order. A novel algorithm is formulated for the projection method in which the boundary conditions for the pressure are implemented in such a way that the continuity equ

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45

Li, Nan, Feng Qu, Di Sun, and Guanghui Wu. "An Effective AUSM-Type Scheme for Both Cases of Low Mach Number and High Mach Number." Applied Sciences 12, no. 11 (2022): 5464. http://dx.doi.org/10.3390/app12115464.

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A new scheme called AUSMAS (Advection Upstream Splitting Method for All Speeds) is proposed for both high speed and low speed simulation cases. For the cases of low speed, it controls the checkerboard decoupling by keeping the coefficient of the pressure difference to the order of O(Ma−1) in the mass flux. Furthermore, it is able to guarantee a high level of accuracy by keeping the coefficients of the dissipation terms to the order of O(Ma0) in the momentum flux. For the cases of high speeds, especially at supersonic and hypersonic speeds, it is able to avoid the appearance of the shock anomal

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46

Zeifang, Jonas, Klaus Kaiser, Andrea Beck, Jochen Schütz, and Claus-Dieter Munz. "Efficient high-order discontinuous Galerkin computations of low Mach number flows." Communications in Applied Mathematics and Computational Science 13, no. 2 (2018): 243–70. http://dx.doi.org/10.2140/camcos.2018.13.243.

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47

Kolb, Elena, and Michael Schäfer. "Aeroacoustic simulation of flexible structures in low Mach number turbulent flows." Computers & Fluids 227 (September 2021): 105020. http://dx.doi.org/10.1016/j.compfluid.2021.105020.

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48

Gunzburger, Max D., and O. Yu Imanuvilov. "Optimal control of stationary, low Mach number, highly nonisothermal, viscous flows." ESAIM: Control, Optimisation and Calculus of Variations 5 (2000): 477–500. http://dx.doi.org/10.1051/cocv:2000118.

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49

Pradera-Mallabiabarrena, Ainara, Graeme Keith, Finn Jacobsen, Alejandro Rivas, and Nere Gil-Negrete. "Practical Computational Aeroacoustics for Compact Surfaces in Low Mach Number Flows." Acta Acustica united with Acustica 97, no. 1 (2011): 14–23. http://dx.doi.org/10.3813/aaa.918382.

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50

Klein, Rupert. "Multiple spatial scales in engineering and atmospheric low Mach number flows." ESAIM: Mathematical Modelling and Numerical Analysis 39, no. 3 (2005): 537–59. http://dx.doi.org/10.1051/m2an:2005022.

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