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Journal articles on the topic 'Compressible gas dynamics'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Mulder, W., S. Osher, and James A. Sethian. "Computing interface motion in compressible gas dynamics." Journal of Computational Physics 100, no. 2 (June 1992): 209–28. http://dx.doi.org/10.1016/0021-9991(92)90229-r.

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2

Zeidan, D., and H. D. Ng. "Computational methods for gas dynamics and compressible multiphase flows." Shock Waves 29, no. 1 (October 27, 2018): 1–2. http://dx.doi.org/10.1007/s00193-018-0870-9.

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3

Sciacovelli, L., P. Cinnella, and F. Grasso. "Small-scale dynamics of dense gas compressible homogeneous isotropic turbulence." Journal of Fluid Mechanics 825 (July 21, 2017): 515–49. http://dx.doi.org/10.1017/jfm.2017.415.

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The present paper investigates the influence of dense gases governed by complex equations of state on the dynamics of homogeneous isotropic turbulence. In particular, we investigate how differences due to the complex thermodynamic behaviour and transport properties affect the small-scale structures, viscous dissipation and enstrophy generation. To this end, we carry out direct numerical simulations of the compressible Navier–Stokes equations supplemented by advanced dense gas constitutive models. The dense gas considered in the study is a heavy fluorocarbon (PP11) that is shown to exhibit an inversion zone (i.e. a region where the fundamental derivative of gas dynamics $\unicode[STIX]{x1D6E4}$ is negative) in its vapour phase, for pressures and temperatures of the order of magnitude of the critical ones. Simulations are carried out at various initial turbulent Mach numbers and for two different initial thermodynamic states, one immediately outside and the other inside the inversion zone. After investigating the influence of dense gas effects on the time evolution of mean turbulence properties, we focus on the statistical properties of turbulent structures. For that purpose we carry out an analysis in the plane of the second and third invariant of the deviatoric strain-rate tensor. The analysis shows a weakening of compressive structures and an enhancement of expanding ones. Strong expansion regions are found to be mostly populated by non-focal convergence structures typical of strong compression regions, in contrast with the perfect gas that is dominated by eddy-like structures. Additionally, the contribution of non-focal expanding structures to the dilatational dissipation is comparable to that of compressed structures. This is due to the occurrence of steep expansion fronts and possibly of expansion shocklets which contribute to enstrophy generation in strong expansion regions and that counterbalance enstrophy destruction by means of the eddy-like structures.

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4

Demkowicz, L., and W. Rachowicz. "On a characteristic finite element method for compressible gas dynamics." International Journal of Engineering Science 25, no. 10 (January 1987): 1259–81. http://dx.doi.org/10.1016/0020-7225(87)90046-2.

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5

Virk, D., F. Hussain, and R. M. Kerr. "Compressible vortex reconnection." Journal of Fluid Mechanics 304 (December 10, 1995): 47–86. http://dx.doi.org/10.1017/s0022112095004344.

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Reconnection of two antiparallel vortex tubes is studied as a prototypical coherent structure interaction to quantify compressibility effects in vorticity dynamics. Direct numerical simulations of the Navier-Stokes equations for a perfect gas are carried out with initially polytropically related pressure and density fields. For an initial Reynolds number (Re = Γ /v, circulation divided by the kinematic viscosity) of 1000, the pointwise initial maximum Mach number (M) is varied from 0.5 to 1.45. At M=0.5, not surprisingly, the dynamics are essentially incompressible. As M increases, the transfer of Γ starts earlier. For the highest M, we find that shocklet formation between the two vortex tubes enhances early Γ transfer due to viscous cross-diffusion as well as baroclinic vorticity generation. The reconnection at later times occurs primarily due to viscous cross-diffusion for all M. However, with increasing M, the higher early Γ transfer reduces the vortices’ curvature growth and hence the Γ transfer rate; i.e. for the Re case studied, the reconnection timescale increases with M. With increasing M, reduced vortex stretching by weaker ‘bridges’ decreases the peak vorticity at late times. Compressibility effects are significant in countering the stretching of the bridges even at late times. Our observations suggest significantly altered coherent structure dynamics in turbulent flows, when compressible.

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6

Volkov, K. N., and A. G. Karpenko. "Preconditioning of gas dynamics equations in compressible gas flow computations at low mach numbers." Computational Mathematics and Mathematical Physics 55, no. 6 (June 2015): 1051–67. http://dx.doi.org/10.1134/s0965542515060135.

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7

Cerminara, M., T. Esposti Ongaro, and L. C. Berselli. "ASHEE: a compressible, Equilibrium–Eulerian model for volcanic ash plumes." Geoscientific Model Development Discussions 8, no. 10 (October 19, 2015): 8895–979. http://dx.doi.org/10.5194/gmdd-8-8895-2015.

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Abstract. A new fluid-dynamic model is developed to numerically simulate the non-equilibrium dynamics of polydisperse gas-particle mixtures forming volcanic plumes. Starting from the three-dimensional N-phase Eulerian transport equations (Neri et al., 2003) for a mixture of gases and solid dispersed particles, we adopt an asymptotic expansion strategy to derive a compressible version of the first-order non-equilibrium model (Ferry and Balachandar, 2001), valid for low concentration regimes (particle volume fraction less than 10−3) and particles Stokes number (St, i.e., the ratio between their relaxation time and flow characteristic time) not exceeding about 0.2. The new model, which is called ASHEE (ASH Equilibrium Eulerian), is significantly faster than the N-phase Eulerian model while retaining the capability to describe gas-particle non-equilibrium effects. Direct numerical simulation accurately reproduce the dynamics of isotropic, compressible turbulence in subsonic regime. For gas-particle mixtures, it describes the main features of density fluctuations and the preferential concentration and clustering of particles by turbulence, thus verifying the model reliability and suitability for the numerical simulation of high-Reynolds number and high-temperature regimes in presence of a dispersed phase. On the other hand, Large-Eddy Numerical Simulations of forced plumes are able to reproduce their observed averaged and instantaneous flow properties. In particular, the self-similar Gaussian radial profile and the development of large-scale coherent structures are reproduced, including the rate of turbulent mixing and entrainment of atmospheric air. Application to the Large-Eddy Simulation of the injection of the eruptive mixture in a stratified atmosphere describes some of important features of turbulent volcanic plumes, including air entrainment, buoyancy reversal, and maximum plume height. For very fine particles (St → 0, when non-equilibrium effects are negligible) the model reduces to the so-called dusty-gas model. However, coarse particles partially decouple from the gas phase within eddies (thus modifying the turbulent structure) and preferentially concentrate at the eddy periphery, eventually being lost from the plume margins due to the concurrent effect of gravity. By these mechanisms, gas-particle non-equilibrium processes are able to influence the large-scale behavior of volcanic plumes.

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8

Khaytaliev, Ismatolo Ramazanovich, and Evgeny Vladimirovich Shilnikov. "Investigation of the properties of a quasi-gas-dynamic system of equations based on the solution of the Riemann problem for a mixture of gases." Keldysh Institute Preprints, no. 52 (2021): 1–12. http://dx.doi.org/10.20948/prepr-2021-52.

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The accuracy and stability of an explicit numerical algorithm for modeling the flows of a mixture of compressible gases in the transonic regime are investigated by the example of solving the Riemann problem on the decay of a gas-dynamic discontinuity between different gases. The algorithm is constructed using the finite volume method based on the regularized gas dynamics equations for a mixture of gases. A method for suppressing nonphysical oscillations occurring behind the contact discontinuity is found.

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9

Schamel, Hans. "Lagrangian fluid description with simple applications in compressible plasma and gas dynamics." Physics Reports 392, no. 5 (March 2004): 279–319. http://dx.doi.org/10.1016/j.physrep.2003.12.002.

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10

GLAISTER, P. "A Shock-Reflection Problem in Compressible-Gas Dynamics with a Similarity Solution." IMA Journal of Numerical Analysis 8, no. 3 (1988): 343–56. http://dx.doi.org/10.1093/imanum/8.3.343.

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11

Eden, A., A. Milani, and B. Nicolaenko. "Local exponential attractors for models of phase change for compressible gas dynamics." Nonlinearity 6, no. 1 (January 1, 1993): 93–117. http://dx.doi.org/10.1088/0951-7715/6/1/007.

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12

Poëtte, Gaël, and Didier Lucor. "Non intrusive iterative stochastic spectral representation with application to compressible gas dynamics." Journal of Computational Physics 231, no. 9 (May 2012): 3587–609. http://dx.doi.org/10.1016/j.jcp.2011.12.038.

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13

Deng, Xi, Bin Xie, Raphaël Loubère, Yuya Shimizu, and Feng Xiao. "Limiter-free discontinuity-capturing scheme for compressible gas dynamics with reactive fronts." Computers & Fluids 171 (July 2018): 1–14. http://dx.doi.org/10.1016/j.compfluid.2018.05.015.

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14

Texier, Benjamin, and Kevin Zumbrun. "Hopf Bifurcation of Viscous Shock Waves in Compressible Gas Dynamics and MHD." Archive for Rational Mechanics and Analysis 190, no. 1 (March 11, 2008): 107–40. http://dx.doi.org/10.1007/s00205-008-0112-x.

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15

Itkulova, Yu A., O. A. Abramova, N. A. Gumerov, and I. Sh Akhatov. "Direct numerical simulation of three-dimensional dynamics of compressible bubbles in acoustic field using boundary element method." Proceedings of the Mavlyutov Institute of Mechanics 10 (2014): 59–65. http://dx.doi.org/10.21662/uim2014.1.011.

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In the present work the dynamics of bubbles containing compressible gas is studied in the presence of an acoustic field at low Reynolds numbers. The numerical approach is based on the boundary element method (BEM), which is effective for three-dimensional simulation. The application of the standard BEM to the compressible bubble dynamics faces the problem of the degeneracy of the algebraic system. To solve this problem, additional relationships based on the Lorentz reciprocity principle are used. Test calculations of the dynamics of one and several bubbles in an acoustic field are presented.

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16

Булат, П. В., К. Н. Волков, and М. С. Яковчук. "Flow visualization with strong and weak gas dynamic discontinuities in computational fluid dynamics." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), no. 3 (September 20, 2016): 245–57. http://dx.doi.org/10.26089/nummet.v17r323.

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Рассматриваются методы визуализации течений с газодинамическими разрывами, позволяющие проводить сравнение результатов численного моделирования с данными физического эксперимента. Дается обзор методов оптической визуализации течений сжимаемого газа (теневые картины, шлирен-изображения, интерферограммы). Приводятся примеры визуального представления решений ряда задач газовой динамики, связанных с расчетами течений, содержащих слабые и сильные газодинамические разрывы. Для повышения наглядности результирующего образа применяются топологические методы визуализации, позволяющие определить положение критических точек, линий отрыва и присоединения потока. A number of methods for the visualization of flows with gas dynamic discontinuities are considered. These methods allow one to perform the direct comparison of numerical results with experimental data. Methods for the optical visualization of compressible gas flows (shadowgraphs, schlieren images, and interferograms) are discussed. Some examples illustrating the visual representation of numerical solutions of gas dynamics problems related to flows containing weak and strong gas dynamic discontinuities are given. Topological methods of visualization are applied to increase the visual representation of resulting images and to define the locations of critical points as well as the separation and attachment lines.

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17

Cerminara, M., T. Esposti Ongaro, and L. C. Berselli. "ASHEE-1.0: a compressible, equilibrium–Eulerian model for volcanic ash plumes." Geoscientific Model Development 9, no. 2 (February 18, 2016): 697–730. http://dx.doi.org/10.5194/gmd-9-697-2016.

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Abstract. A new fluid-dynamic model is developed to numerically simulate the non-equilibrium dynamics of polydisperse gas–particle mixtures forming volcanic plumes. Starting from the three-dimensional N-phase Eulerian transport equations for a mixture of gases and solid dispersed particles, we adopt an asymptotic expansion strategy to derive a compressible version of the first-order non-equilibrium model, valid for low-concentration regimes (particle volume fraction less than 10−3) and particle Stokes number (St – i.e., the ratio between relaxation time and flow characteristic time) not exceeding about 0.2. The new model, which is called ASHEE (ASH Equilibrium Eulerian), is significantly faster than the N-phase Eulerian model while retaining the capability to describe gas–particle non-equilibrium effects. Direct Numerical Simulation accurately reproduces the dynamics of isotropic, compressible turbulence in subsonic regimes. For gas–particle mixtures, it describes the main features of density fluctuations and the preferential concentration and clustering of particles by turbulence, thus verifying the model reliability and suitability for the numerical simulation of high-Reynolds number and high-temperature regimes in the presence of a dispersed phase. On the other hand, Large-Eddy Numerical Simulations of forced plumes are able to reproduce the averaged and instantaneous flow properties. In particular, the self-similar Gaussian radial profile and the development of large-scale coherent structures are reproduced, including the rate of turbulent mixing and entrainment of atmospheric air. Application to the Large-Eddy Simulation of the injection of the eruptive mixture in a stratified atmosphere describes some of the important features of turbulent volcanic plumes, including air entrainment, buoyancy reversal and maximum plume height. For very fine particles (St → 0, when non-equilibrium effects are negligible) the model reduces to the so-called dusty-gas model. However, coarse particles partially decouple from the gas phase within eddies (thus modifying the turbulent structure) and preferentially concentrate at the eddy periphery, eventually being lost from the plume margins due to the concurrent effect of gravity. By these mechanisms, gas–particle non-equilibrium processes are able to influence the large-scale behavior of volcanic plumes.

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18

SUMAN, S., and S. S. GIRIMAJI. "Homogenized Euler equation: a model for compressible velocity gradient dynamics." Journal of Fluid Mechanics 620 (February 10, 2009): 177–94. http://dx.doi.org/10.1017/s0022112008004631.

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Along the lines of the restricted Euler equation (REE) for incompressible flows, we develop homogenized Euler equation (HEE) for describing turbulent velocity gradient dynamics of an isentropic compressible calorically perfect gas. Starting from energy and state equations, an evolution equation for pressure Hessian is derived invoking uniform (homogeneous) velocity gradient assumption. Behaviour of principal strain rates, vorticity vector alignment and invariants of the normalized velocity gradient tensor is investigated conditioned on dilatation level. The HEE results agree very well with the known behaviour in the incompressible limit. Indeed, at zero dilatation HEE reproduces the incompressible anisotropic pressure Hessian behaviour very closely. When compared against compressible direct numerical simulation results, the HEE accurately captures the strain rate behaviour at different dilatation levels. The model also recovers the fixed point behaviour of pressure-released (high-Mach-number limit) Burgers turbulence.

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19

Li, Tailong, Ping Chen, and Jian Xie. "Self-Similar Solutions of the Compressible Flow in One-Space Dimension." Journal of Applied Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/194704.

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For the isentropic compressible fluids in one-space dimension, we prove that the Navier-Stokes equations with density-dependent viscosity have neither forward nor backward self-similar strong solutions with finite kinetic energy. Moreover, we obtain the same result for the nonisentropic compressible gas flow, that is, for the fluid dynamics of the Navier-Stokes equations coupled with a transport equation of entropy. These results generalize those in Guo and Jiang's work (2006) where the one-dimensional compressible fluids with constant viscosity are considered.

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20

Woodward, Paul R., Jagan Jayaraj, Pei-Hung Lin, and William Dai. "First experience of compressible gas dynamics simulation on the Los Alamos roadrunner machine." Concurrency and Computation: Practice and Experience 21, no. 17 (December 10, 2009): 2160–75. http://dx.doi.org/10.1002/cpe.1494.

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21

Waters, R. T. "Electrical breakdown at high pressures: a Paschen law function and compressible gas dynamics." Journal of Physics D: Applied Physics 52, no. 2 (November 2, 2018): 025203. http://dx.doi.org/10.1088/1361-6463/aae815.

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22

Keyfitz, B. L., and F. Tığlay. "Nonuniform dependence on initial data for compressible gas dynamics: The periodic Cauchy problem." Journal of Differential Equations 263, no. 10 (November 2017): 6494–511. http://dx.doi.org/10.1016/j.jde.2017.07.020.

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23

Zumbrun, Kevin. "Conditional Stability of Unstable Viscous Shock Waves in Compressible Gas Dynamics and MHD." Archive for Rational Mechanics and Analysis 198, no. 3 (September 7, 2010): 1031–56. http://dx.doi.org/10.1007/s00205-010-0359-x.

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24

Li, Dening, and Zheng Zhang. "Conical shock wave for non-isentropic compressible Euler system of equations." Journal of Hyperbolic Differential Equations 13, no. 02 (June 2016): 215–31. http://dx.doi.org/10.1142/s0219891616500065.

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Conical shock wave is generated when a sharp conical projectile flies supersonically in the air. We study the linear stability and existence of steady conical shock waves in supersonic flow for the equations of complete Euler system in 3D non-isentropic gas-dynamics.

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25

Gulati, Navneet, and Eric J. Barth. "Dynamic Modeling of a Monopropellant-Based Chemofluidic Actuation System." Journal of Dynamic Systems, Measurement, and Control 129, no. 4 (October 17, 2006): 435–45. http://dx.doi.org/10.1115/1.2718243.

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This paper presents a dynamic model of a monopropellant-based chemofluidic power supply and actuation system. The proposed power supply and actuation system, as presented in prior works, is motivated by the current lack of a viable system that can provide adequate energetic autonomy to human-scale power-comparable untethered robotic systems. As such, the dynamic modeling presented herein is from an energetic standpoint by considering the power and energy exchanged and stored in the basic constituents of the system. Two design configurations of the actuation system are presented and both are modeled. A first-principle based lumped-parameter model characterizing reaction dynamics, hydraulic flow dynamics, pneumatic flow dynamics, and compressible gas dynamics is developed for purposes of control design. Experimental results are presented that validate the model.

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26

Kotlov, Andrey, Leonid Kuznetsov, and Boris Hrustalev. "Influence of compressible medium on the operation of a reciprocating compressor." MATEC Web of Conferences 245 (2018): 04009. http://dx.doi.org/10.1051/matecconf/201824504009.

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A reciprocating compressor is a volumetric machine. Consequently, the motion of gas in communications always is of non-stationary or pulsating character. The diagram of oscillatory processes in communications is complex because a number of factors affect the nature of the flow: cyclical gas supply, valve dynamics, change in the flow area of pipelines, variable cylinder volume, variable piston velocity, temperature gradients, etc. The analysis of non-stationary processes in the suction stage of a household refrigeration compressor is considered. A mathematical model of the flow of real gas in the suction system of a household refrigeration piston compressor has been developed. We performed a calculation study of the motion diagram of the suction valve, gas velocities in the suction pipe and pressure changes in the suction chamber. The results of a reciprocating compressor study while compressing various gases are given. The influence of the properties of refrigerants on the operation of the compressor and the suction system is considered.

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27

Zwick, D., and S. Balachandar. "Dynamics of rapidly depressurized multiphase shock tubes." Journal of Fluid Mechanics 880 (October 9, 2019): 441–77. http://dx.doi.org/10.1017/jfm.2019.710.

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Rapid depressurization is a fluid phenomenon that occurs in many industrial and natural applications. Its behaviour is often complicated by the formation, propagation and interaction of waves. In this work, we perform computer simulations of the rapid depressurization of a gas–solid mixture in a shock tube. Our problem set-up mimics previously performed experiments, which have been historically used as a laboratory surrogate for volcanic eruptions. The simulations are carried out with a discontinuous Galerkin compressible fluid solver with four-way coupled Lagrangian particle tracking capabilities. The results give an unprecedented look into the complex multiphase physics at work in this problem. Different regimes have been characterized in a regime map that highlights the key observations. While the mean flow behaviour is in good agreement with experiments, the simulations show unexpected accelerations of the particle front as it expands. Additionally, a new lifting mechanism for gas bubble (void) growth inside the gas–solid mixture is detailed.

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28

Gunzburger, Max D., Houston G. Wood, and Rosser L. Wayland. "A Study of the Effects of Baffles on Rotating Compressible Flows." Journal of Applied Mechanics 56, no. 3 (September 1, 1989): 710–12. http://dx.doi.org/10.1115/1.3176152.

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Onsager’s pancake equation for the fluid dynamics of a gas centrifuge is modified for the case of centrifuges with baffles which render the flow domain doubly connected. A finite element algorithm is used for solving the mathematical model and to compute numerical examples for flow fields induced by thermal boundary conditions and by mass injection and extraction.

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29

Vitale, Salvatore, Tim A. Albring, Matteo Pini, Nicolas R. Gauger, and Piero Colonna. "Fully turbulent discrete adjoint solver for non-ideal compressible flow applications." Journal of the Global Power and Propulsion Society 1 (November 22, 2017): Z1FVOI. http://dx.doi.org/10.22261/jgpps.z1fvoi.

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Abstract Non-Ideal Compressible Fluid-Dynamics (NICFD) has recently been established as a sector of fluid mechanics dealing with the flows of dense vapors, supercritical fluids, and two-phase fluids, whose properties significantly depart from those of the ideal gas. The flow through an Organic Rankine Cycle (ORC) turbine is an exemplary application, as stators often operate in the supersonic and transonic regime, and are affected by NICFD effects. Other applications are turbomachinery using supercritical CO2 as working fluid or other fluids typical of the oil and gas industry, and components of air conditioning and refrigeration systems. Due to the comparably lower level of experience in the design of this fluid machinery, and the lack of experimental information on NICFD flows, the design of the main components of these processes (i.e., turbomachinery and nozzles) may benefit from adjoint-based automated fluid-dynamic shape optimization. Hence, this work is related to the development and testing of a fully-turbulent adjoint method capable of treating NICFD flows. The method was implemented within the SU2 open-source software infrastructure. The adjoint solver was obtained by linearizing the discretized flow equations and the fluid thermodynamic models by means of advanced Automatic Differentiation (AD) techniques. The new adjoint solver was tested on exemplary turbomachinery cases. Results demonstrate the method effectiveness in improving simulated fluid-dynamic performance, and underline the importance of accurately modeling non-ideal thermodynamic and viscous effects when optimizing internal flows influenced by NICFD phenomena.

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30

Karelsky, K. V., A. S. Petrosyan, and A. V. Chernyak. "Nonlinear dynamics of flows of a heavy compressible gas in the shallow water approximation." Journal of Experimental and Theoretical Physics 114, no. 6 (June 2012): 1058–71. http://dx.doi.org/10.1134/s1063776112050032.

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31

Del Pino, Stéphane. "A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates." Comptes Rendus Mathematique 348, no. 17-18 (September 2010): 1027–32. http://dx.doi.org/10.1016/j.crma.2010.08.006.

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32

Miu, D. K., and D. B. Bogy. "Dynamics of Gas-Lubricated Slider Bearings in Magnetic Recording Disk Files—Part II: Numerical Simulation." Journal of Tribology 108, no. 4 (October 1, 1986): 589–93. http://dx.doi.org/10.1115/1.3261272.

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This two part paper presents the experimental observation and numerical simulation of the dynamic response of self-acting gas-lubricated slider bearings used to maintain the sub-micron spacings between the Read/Write transducers and the rotating disks in magnetic recording disk files. In this Part II, a factored implicit finite difference scheme is used to integrate the Reynolds lubrication equation, which describes the isothermal compressible fluid flow within the bearing region, and a fourth order Runge-Kutta method is used to solve the equations of motion, which describe the slider dynamics. Using this numerical model, the theoretical slider response due to a rectangular step in the disk surface is obtained. Excellent correlation is observed between theory and experiment. Results are presented to illustrate the effects of step size, step location, and surface velocity on the dynamic performance of slider bearings.

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33

Varnas, S. R. "A Method for the Study of Gas Dynamics in Galactic Potentials." Publications of the Astronomical Society of Australia 6, no. 4 (1986): 458–61. http://dx.doi.org/10.1017/s1323358000018373.

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AbstractA particle method for the simulation of the global evolution of cold gas in galactic potentials is described. It incorporates an efficient artificial viscosity, based on the smoothed particle hydrodynamics approach, which conserves both linear and angular momenta and in the continuum limit is equivalent to a Navier-Stokes viscosity in a compressible gas. Parameters of this viscosity have been calibrated in such a way as to make a gas disk, embedded in an axisymmetric galactic potential and originally inclined to its equatorial plane, settle to the preferred plane on the time scale characterizing the differential precession. After a careful analysis of the previously published settling times we find that our results are consistent with Steiman-Cameron’s (1984) lower limits, and we argue that Simonson’s (1982) time scales have been seriously underestimated. We also demonstrate that two dimensional methods based on rigid rings do not model the evolution of a differentially precessing settling gas disk realistically and cannot be used to study the morphology of gas distribution.

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34

Ahmed, Fareed, Faheem Ahmed, and Yong Yang. "Numerical Solution of Compressible Euler Equations by High Order Nodal Discontinuous Galerkin Method." Applied Mechanics and Materials 392 (September 2013): 165–69. http://dx.doi.org/10.4028/www.scientific.net/amm.392.165.

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In this paper we present a robust, high order method for numerical solution of compressible Euler Equations of the gas dynamics. Euler equations are hyperbolic in nature. Our scheme is based on Nodal Discontinuous Galerkin Finite Element Method (NDG-FEM). This method combines mainly two key ideas which are based on the finite volume and finite element methods. In this method, we employ Discontinuous Galerkin (DG) technique for finite element space discretization by discontinuous approximations. Whereas, for temporal discretization, we used explicit Runge-Kutta (ERK) method. In order to compute fluxes at element interfaces, we have used Roe Approximate scheme. We used filter to remove spurious oscillations near the shock waves. Numerical predictions for Shock tube problem (SOD) are presented and compared with exact solution at different polynomial order and mesh sizes. Results show the suitability of DG method for modeling gas dynamics equations and effectiveness of high order approximations.

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35

Li, Y., A. Kirkpatrick, C. Mitchell, and B. Willson. "Characteristic and Computational Fluid Dynamics Modeling of High-Pressure Gas Jet Injection." Journal of Engineering for Gas Turbines and Power 126, no. 1 (January 1, 2004): 192–97. http://dx.doi.org/10.1115/1.1635398.

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The topic of this paper is the computational modeling of the gas injection process in a large-bore natural gas fueled engine. At high injection pressures, the overall gas injection and mixing process includes compressible flow features such as rarefaction waves and shock formation. The injection geometries examined in the paper include both a two-dimensional slot and an axisymmetric nozzle. The computations examine the effect of the supply pressure/cylinder stagnation pressure ratio, with ratios ranging from 3 to 80, on the velocity and pressure profiles in the near field region. Computational fluid dynamics modeling was compared with results obtained from a two-dimensional analytical method of characteristics solution and experimental results. The comparison process evaluated factors such as pressure and Mach number profiles, jet boundary shape, and shock location.

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36

LENSKY, N. G., V. LYAKHOVSKY, and O. NAVON. "Expansion dynamics of volatile-supersaturated liquids and bulk viscosity of bubbly magmas." Journal of Fluid Mechanics 460 (June 10, 2002): 39–56. http://dx.doi.org/10.1017/s0022112002008194.

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We derive expressions for the bulk viscosity of suspension of gas bubbles in an incompressible Newtonian liquid that exsolves volatiles. The suspension is modelled as close packed spherical cells and is represented by a single cell (‘cell model’). A cell, consisting of a gas bubble centred in a spherical shell of a volatile-bearing liquid, is subjected to decompression that is applied at the cell boundary, and the resulting dilatational boundary motion and driving pressure are obtained. The dilatational motion and the driving pressure are used to define the bulk viscosity of the cell, as if it were composed of a homogeneously compressible fluid. By definition, the bulk viscosity is the relation between changes of the driving pressure and changes in the resulting expansion strain rate. The bulk viscosity of the suspension is obtained in terms of two-phase parameters, i.e. bubble radius, gas pressure and the properties of the incompressible continuous liquid phase. The resulting bulk viscosity is highly nonlinear. At the beginning of the expansion process, when gas exsolution is efficient, the expansion rate grows exponentially while the driving pressure decreases slightly, which means that the bulk viscosity is formally negative. This negative value reflects the release of the energy stored in the supersaturated liquid and its transfer to mechanical work during exsolution. Later, when bubbles are large and the gas influx decreases significantly, the strain rate decelerates and the bulk viscosity becomes positive as expected in a dissipative system. We demonstrate that amplification of seismic waves travelling through a volcanic conduit filled with a volatile saturated magma may be attributed to the negative bulk viscosity of the compressible magma. Amplification of an expansion wave may, at some level in the conduit, damage the conduit walls and initiate the opening of a new pathway for magma eruption. We also consider the energy related to positive and negative bulk viscosities.

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37

Morishita, Etsuo. "Compressible Pipe Flow with Friction and Gravity." MATEC Web of Conferences 292 (2019): 03003. http://dx.doi.org/10.1051/matecconf/201929203003.

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A viscous one-dimensional compressible pipe flow under gravity effect is studied analytically. The compressible one-dimensional pipe flow with friction is called Fanno flow and the solution is given by analytical formula. In gas dynamics, the gravity effect is minimal and it is not included in the equations. However, it was shown by the present author that the elevation of a pipe could change the flow conditions in a one-dimensional compressible potential flow under gravity. The sonic condition is reached at the maximum height for an inviscid pipe flow. In this paper, the gravity effect is extended to the viscous one- dimensional pipe flow. Subsonic–supersonic transition is also possible by up and down of the pipe as in the inviscid flow, and it is found that the sonic condition deviates from the peak position of the pipe.

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38

Araújo dos Santos, Dyrney, Shivam Baluni, and Andreas Bück. "Eulerian Multiphase Simulation of the Particle Dynamics in a Fluidized Bed Opposed Gas Jet Mill." Processes 8, no. 12 (December 9, 2020): 1621. http://dx.doi.org/10.3390/pr8121621.

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The compressible and turbulent gas–solid multiphase flow inside a fluidized bed opposed jet mill was systematically investigated through numerical simulations using the Euler–Euler approach along with the kinetic theory of granular flow and frictional models. The solid holdup and nozzle inlet air velocity effects on the gas–solid dynamics were assessed through a detailed analysis of the time-averaged volume fraction, the time-averaged velocity, the time-averaged streamlines, and the time-averaged vector field distributions of both phases. The simulated results were compared with the experimental observations available in the literature. The numerical simulations contributed to a better understanding of the particle–flow dynamics in a fluidized bed opposed gas jet mill which are of fundamental importance for the milling process performance.

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39

Nasibullaeva, E. Sh. "The influence of dissipation on the dynamics of a bubble cluster." Proceedings of the Mavlyutov Institute of Mechanics 3 (2003): 255–65. http://dx.doi.org/10.21662/uim2003.1.019.

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The supercompression method, consisting in a nonperiodic change in the external pressure, is applied to a cluster of gas bubbles in an unbound viscous, slightly compressible fluid. The effect of dissipation of the kinetic energy associated with the viscosity of a liquid and acoustic radiation on the dynamics of a bubble cluster is considered. The oscillations of a single bubble and bubble in a monodisperse cluster are compared, as well as a comparison of bubble oscillations in mono- and polydisperse clusters.

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40

Svantesson, Jonas, Mikael Ersson, and Pär Jönsson. "Effect of Froude Number on Submerged Gas Blowing Characteristics." Materials 14, no. 3 (January 29, 2021): 627. http://dx.doi.org/10.3390/ma14030627.

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The flow behavior of gas in compressible and incompressible systems was investigated at an ambient temperature in an air–water system and at an operating process temperature in the IronArc system, using computational fluid dynamics. The simulation results were verified by experiments in the air–water system and established empirical equations to enable reliable predictions of the penetration length. The simulations in the air–water system were found to replicate the experimental behavior using both the incompressible and compressible models, with only small deviations of 7–8%. A lower requirement for the modified Froude number of the gas blowing to produce a jetting behavior was also found. For gas blowing below the required modified Froude number, the results illustrate that the gas will form large pulsating bubbles instead of a steady jet, which causes the empirical equation calculations to severely underpredict the penetration length. The lower modified Froude number limit was also found to be system dependent and to have an approximate value of 300 for the studied IronArc system. For submerged blowing applications, it was found that it is important to ensure sufficiently high modified Froude numbers of the gas blowing. Then, the gas penetration length will remain stable as a jet and it will be possible to predict the values using empirical equations.

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41

Joos, F. M., and P. W. Huber. "Coupled Gas-Liquid-Structure Systems: Part 1—Theory." Journal of Applied Mechanics 54, no. 4 (December 1, 1987): 935–41. http://dx.doi.org/10.1115/1.3173142.

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A complex hydrodynamic transient due, for example, to the injection of gas into a liquid, creates pressure forces on adjacent structures. These structures, together with gas cavities in the liquid itself, represent flexible boundaries to the distributed, time-varying liquid mass. The response of the gas-liquid-structure system depends on the intrinsic flexibility of the gas cavities and on the flexibility of structural boundaries. In this paper we analyze the dynamics of such systems where the liquid is incompressible. We present systematic procedures for driving the response of one system from the known response of a geometrically identical system with different flexibility. Finally, we outline the analysis for the compressible case.

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42

Slemrod, Marshall. "Admissibility of weak solutions for the compressible Euler equations, n ≥ 2." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 2005 (December 28, 2013): 20120351. http://dx.doi.org/10.1098/rsta.2012.0351.

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This paper compares three popular notions of admissibility for weak solutions of the compressible isentropic Euler equations of gas dynamics: (i) the viscosity criterion, (ii) the entropy inequality (the thermodynamically admissible isentropic solutions), and (iii) the viscosity–capillarity criterion. An exact summation of the Chapman–Enskog expansion for Grad’s moment system suggests that it is the third criterion that is representing the kinetic theory of gases. This, in turn, may shed some light on the ability to recover weak solutions of the Euler equations via a hydrodynamic limit.

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43

Bailey, N. Y., S. Hibberd, and H. Power. "Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions." Journal of Fluid Mechanics 818 (March 28, 2017): 68–99. http://dx.doi.org/10.1017/jfm.2017.142.

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A gas lubricated bearing model is derived which is appropriate for a very small bearing face separation by including velocity slip boundary conditions and centrifugal inertia effects. The bearing dynamics is examined when an external harmonic force is imposed on the bearing due to the bearing being situated within a larger complex dynamical system. A compressible Reynolds equation is formulated for the gas film which is coupled to the bearing structure through an axial force balance where the rotor and stator correspond to spring–mass–damper systems. Surface slip boundary conditions are derived on the bearing faces, characterised by the slip length parameter. The coupled bearing system is analysed using a stroboscopic map solver with the modified Reynolds equation and structural equations solved simultaneously. For a sufficiently large forcing amplitude a flapping motion of the bearing faces is induced when the rotor and stator are in close proximity. The minimum bearing gap over the time period of the external forcing is examined for a range of bearing parameters.

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44

DI FRANCESCO, M., and P. MARCATI. "SINGULAR CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR SOLUTIONS TO THE CAUCHY PROBLEM FOR THE COMPRESSIBLE EULER EQUATIONS WITH DAMPING." Mathematical Models and Methods in Applied Sciences 12, no. 09 (September 2002): 1317–36. http://dx.doi.org/10.1142/s0218202502002148.

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We investigate the singular limit for the solutions to the compressible gas dynamics equations with damping term, after a parabolic scaling, in the one-dimensional isentropic case. In particular, we study the convergence in Sobolev norms towards diffusive prophiles, in case of well-prepared initial data and small perturbations of them. The results are obtained by means of symmetrization and energy estimates.

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45

Sheptylevskyi, O. "The influence of the thickness of the elastic spherical shell with liquid on its stress-strain state." Scientific journal of the Ternopil national technical university 99, no. 3 (2020): 34–43. http://dx.doi.org/10.33108/visnyk_tntu2020.03.034.

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Investigations of the dynamics of the system consisting of elastic spherical shell filled with ideal compressible fluid and gas cavity in the center of the system are presented in this paper. The excitation pulse-modulated source is introduced into the gas cavity in the center of the system. The effect of the shell thickness on its dynamics and the stress-state during the pulsations is investigated. The results for radial displacements changes of the middle surface, the thickness of the fluid separation from the shell, the stress intensity in the shell during its free pulsations are obtained. The comparison of calculations for the separation thickness in cases of free and partially fixed shell is carried out.

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46

Boncinelli, Paolo, Filippo Rubechini, Andrea Arnone, Massimiliano Cecconi, and Carlo Cortese. "Real Gas Effects in Turbomachinery Flows: A Computational Fluid Dynamics Model for Fast Computations." Journal of Turbomachinery 126, no. 2 (April 1, 2004): 268–76. http://dx.doi.org/10.1115/1.1738121.

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A numerical model was included in a three-dimensional viscous solver to account for real gas effects in the compressible Reynolds averaged Navier-Stokes (RANS) equations. The behavior of real gases is reproduced by using gas property tables. The method consists of a local fitting of gas data to provide the thermodynamic property required by the solver in each solution step. This approach presents several characteristics which make it attractive as a design tool for industrial applications. First of all, the implementation of the method in the solver is simple and straightforward, since it does not require relevant changes in the solver structure. Moreover, it is based on a low-computational-cost algorithm, which prevents a considerable increase in the overall computational time. Finally, the approach is completely general, since it allows one to handle any type of gas, gas mixture or steam over a wide operative range. In this work a detailed description of the model is provided. In addition, some examples are presented in which the model is applied to the thermo-fluid-dynamic analysis of industrial turbomachines.

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47

Holmes, John, Barbara Keyfitz, and Feride Tiğlay. "Nonuniform Dependence on Initial Data for Compressible Gas Dynamics: The Cauchy Problem on $\mathbb{R}^2$." SIAM Journal on Mathematical Analysis 50, no. 1 (January 2018): 1237–54. http://dx.doi.org/10.1137/16m1103968.

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48

Sjögreen, Björn, and H. C. Yee. "High order entropy conservative central schemes for wide ranges of compressible gas dynamics and MHD flows." Journal of Computational Physics 364 (July 2018): 153–85. http://dx.doi.org/10.1016/j.jcp.2018.02.003.

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49

Yuan, Run, Bo Yang, Hong Yan Ruan, and Xiao Wang. "Flow Field Analysis of Gas Jets from Nozzles for Gas-Assisted Laser Cutting." Key Engineering Materials 419-420 (October 2009): 409–12. http://dx.doi.org/10.4028/www.scientific.net/kem.419-420.409.

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The gas jets from the conical and new designed supersonic nozzles on different working pressure are simulated by a computational fluid dynamics code, FLUENT, using standard k-ε model and unstructured grid finite volume method with compressible axis-symmetry N-S equation. Under the same condition of pressure-inlet, the distribution of symmetry velocity and that of static pressure are compared. The result of the analysis indicates that conical nozzle outlet can reach subsonic or sonic flow. It is fit for low speed and low pressure situation. The gas jet from the new design supersonic nozzle working at design work pressure has better properties than those of other nozzles. So it is better for thick-plate and or high-speed laser cutting. It is obvious that the results of CFD numerical analysis are consistent with the shadowgraph. Thereby it is an effective way to optimize the nozzle according to the performance of flow field.

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50

Slemrod, M. "Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 6 (1996): 1309–40. http://dx.doi.org/10.1017/s0308210500023428.

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This paper proves the existence of solutions to the spherical piston problem for isentropic gas dynamics with equation of state p(p) = Apγ, γ≧ 1. The method of analysis is to replace the usual viscosity ε with εt, thus permitting a search for self-similar viscous limits. The main result of the paper is that self-similar viscous limits are proved to exist and converge to a solution to the piston problem whenN = 1, 2, 3 space dimensions.

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