Average-State Jacobians and Implicit Methods for Compressible Viscous and Turbulent Flows

Batten, Paul; Leschziner, M. A.; Goldberg, U.

doi:10.1006/jcph.1997.5793

Cited by 290 publications

(142 citation statements)

References 28 publications

(83 reference statements)

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“…The resultant systems of equations were solved numerically using the code based on the Godynov-type finite-volume scheme [9] with the fourth-order MUSCL TVD reconstruction [10] and the advanced HLLC algorithm [11] for an approximate solution of the Riemann problem. In implementation of HLLC algorithm for the case of a chemically reacting mixture, the "energy relaxation method" [12] was used.…”

Section: Methodsmentioning

confidence: 99%

Numerical simulation of classical and rotating detonation waves in methane mixtures

Trotsyuk

2017

J. Phys.: Conf. Ser.

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A numerical simulations of a two-dimensional multi-front irregular structure of the detonation wave (DW) in methane-based mixtures at normal initial condition have been conducted. The computations have been performed in a wide range of channel height. From the analysis of the flow structure and the number of primary transverse waves in channel, the dominant size of the detonation cell for studied mixtures has been determined. We have simulated the cellular front structure in stoichiometric methane-air and methane-oxygen mixtures, and in a rich (equivalence ratio φ=1.5) methane-air mixture. Based on the fundamental studies of front structure of the classical propagating DW in methane mixtures, numerical simulation of continuous spin detonation of rich (φ=1.2) methane-oxygen mixture has been carried out in the cylindrical detonation chamber (DC) of the rocket-type engine. We studied the global flow structure in DC, and the detailed structure of the front of the continuous rotating DW. Integral characteristics of the detonation process -the distribution of average values of static and total pressure along the length of the DC, and the value of specific impulse have been obtained. The geometric limit of stable existence of rotating DW has been determined. IntroductionOne of the most important problems in the theory of dynamic systems is the formation and destruction of ordered gas-dynamic structures in a reactive medium. An example of such a self-organizing system is a multi-front (cellular) DW steadily propagating in a reacting gas mixture. The complex threedimensional and time-dependent structure of the front of these waves propagating in constant crosssection channels shows some order, whose geometrical parameter is the size of the elementary cell of the DW − a 0 . Based on this value, it is possible to determine such parameters of detonation as critical conditions of detonation combustion, the critical energy of initiation detonation propagation limits, etc., i.e. to estimate the detonation hazard of gaseous mixture. Depending on the chemical composition of the gas, DW in some mixtures have very regular cellular structure, whereas in other mixtures DW shows very irregular chaotic cell structure. A very regular cellular DW structure in hydrogen-oxygen-argon mixtures was studied in our previous 2D numerical simulation [1]. A good agreement was obtained between the numerical results and experimental data on the size a 0 over a wide range of initial pressures and degrees of mixture dilution by argon. Then we have simulated the irregular detonation structure in stoichiometric methane-air [2] and methane-oxygen [3] mixtures.

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Section: Methodsmentioning

confidence: 99%

Numerical simulation of classical and rotating detonation waves in methane mixtures

Trotsyuk

2017

J. Phys.: Conf. Ser.

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“…This solver assembles the famous Godunov type schemes such as Roe [15] and Roe and Pike [16], advection Upstream Splitting Method (AUSM) [17][18][19] and Harten-Lax-van-Leer_contact (HLLC) [20], etc. For the present study, the HLLC method was used to integrate the convective terms.…”

Section: Numerical Schemementioning

confidence: 99%

Numerical simulation of flame acceleration and deflagration-to-detonation transition in hydrogen-air mixtures with concentration gradients

Wang

Wen

2017

International Journal of Hydrogen Energy

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The present study aims to test the capability of our newly developed density-based solver, ExplosionFoam, for flame acceleration (FA) and deflagration-to-detonation transition (DDT) in mixtures with concentration gradients which is of important safety concern. The solver is based on the open source computational fluid dynamics (CFD) platform OpenFOAM® and uses the hydrogen-air single-step chemistry and the corresponding transport coefficients developed by the authors. Numerical simulations have been conducted for the experimental set up of Ettner et al. [7], which involves flame acceleration and DDT in both homogeneous hydrogen-air mixture as well as an inhomogeneous mixture with concentration gradients in an obstucted channel. The predictions demonstrate good quantitative agreement with the experimental measurements in flame tip position, speed and pressure profiles. Qualitatively, the numerical simulations have reproduced well the flame acceleration and DDT phenomena observed in the experiment. The results have revealed that in the computed cases, DDT is induced by the interaction of the precursor inert shock wave with the wall close to high hydrogen concentration rather than with the obstacle. Some vortex pairs appear ahead of the flame due to the interaction between the obstacles and the gas flow caused by combustion-induced expansion, but they soon disappear after the flame passes through them. Hydrogen cannot be completely consumed especially in the fuel rich region. This is of additional safety concern as the unburned hydrogen can be potentially re-ignited once more fresh air is available in an accidental scenario, resulting in subsequent explosions.Keywords: hydrogen safety; flame acceleration; deflagration-to-detonation transition; inhomogeneous hydrogen-air mixture. INTRODUCTIONThe energy landscape is gradually shifting from fossil fuels to alternative renewable energy resources such as solar, wind, hydroelectric, etc. This change is also driven by the need to reduce pollutions from the combustion of fossil fuels, greenhouse effect and acid rain, etc. Hydrogen is seen as a promising clean energy carrier. This in turn requires the associated safety issues to be addressed.The accidental release of hydrogen into confined or semi-confined enclosures can often lead to a flammable hydrogen-air mixture with concentration gradients. Accidental ignition of this mixture could result in flame acceleration and deflagration-to-detonation transition (DDT). This phenomenon was experimentally investigated by Kuznetsov et al. [1,2]. They showed that flame acceleration in mixtures with concentration gradients may be determined by the maximum local hydrogen concentration in semi-confined geometries. Vollmer et al. [3,4] and Boeck et al. [5,6] reported that a strong positive effect of concentration gradients can be found on flame acceleration, especially in a channel without obstructions. In other words, concentration gradients can result in significantly stronger flame acceleration compared to the homogeneous mix...

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“…In this paper, the numerical flux F n,1/2 is computed using the HLLC Riemann solver (9) and can be expressed as…”

Section: Journal Of Fluid Science and Technologymentioning

confidence: 99%

A Hybrid Scheme for the Near Wall Treatment of Building Cube Method

Chen

Sasaki

Nakahashi

2012

JFST

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In this paper we explore a new hybrid method for the near wall treatment of viscous computation with block structured Cartesian mesh. Cloud of points are generated to resolve the near wall boundary layer and most of the points are distributed on onedimensional lines along the wall normal directions, thus enabling the usage of high order scheme for the wall-normal flow derivative. In streamwise direction the flow derivative is approximated using second order least-square meshless method. Compared to the existing wall treatment methods for block structured Cartesian mesh, the current approach retains the flexibility of the least-square method and also offers the opportunity of high order accuracy along the wall-normal direction. A simple method is proposed to generate the near-wall points and it relieves the burden of body-fitted near-wall mesh generation. The current approach is tested with several high Reynolds number flows and the results are discussed.

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Average-State Jacobians and Implicit Methods for Compressible Viscous and Turbulent Flows

Cited by 290 publications

References 28 publications

Numerical simulation of classical and rotating detonation waves in methane mixtures

Numerical simulation of classical and rotating detonation waves in methane mixtures

Numerical simulation of flame acceleration and deflagration-to-detonation transition in hydrogen-air mixtures with concentration gradients

A Hybrid Scheme for the Near Wall Treatment of Building Cube Method

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