Review of numerical computation of compressible flows with artificial interfaces

Wu, Zhanjun; Xu, Shan-Shu; Gao, Bo; Zhuang, Li-Shen

doi:10.1016/j.compfluid.2007.03.001

Cited by 8 publications

(4 citation statements)

References 85 publications

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“…Indeed, it has been shown that the use of a Chapman-Enskog distribution leads to somewhat higher accuracy as compared to a Maxwellian distribution in hybrid DSMC-Navier Stokes simulations of a Couette flow, which is an extreme example of a strongly non-equilibrium flow driven purely by gradient effects [58]. Based on these findings, many recent papers on hybrid DSMC-Navier Stokes simulations have applied a Chapman-Enskog distribution [29,31,61,20,63,62]. Other authors, on the other hand, have chosen to apply a Maxwellian distribution in hybrid DSMC-Navier Stokes simulations, arguing that the use of a Chapman-Enskog distribution leads to a small improvement in accuracy [59,65] which does not justify the largely increased computational costs [60], or because of the fact that the Chapman-Enskog distribution becomes negative with deviation from the Maxwellian distribution [59], or because of the observation that for specific flows a greater mismatch at the interface between Navier Stokes and DSMC was observed for a ChapmanEnskog distribution as compared to a Maxwellian distribution [64].…”

Section: The Hybrid Cfd/dsmc Approachmentioning

confidence: 96%

Hybrid simulations of rarefied supersonic gas flows in micro-nozzles

et al. 2011

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Section: The Hybrid Cfd/dsmc Approachmentioning

confidence: 96%

Hybrid simulations of rarefied supersonic gas flows in micro-nozzles

et al. 2011

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“…The Yin-Yang grid has a disadvantage common with other types of overlapping grids (see, e.g., Chesshire & Henshaw 1994;Wang 1995;Wu et al 2007). The communication via interpolation between the two grid patches does not guarantee conservation of conserved quantities even though the finitevolume difference scheme employed on each grid patch is conservative.…”

Section: Conservation Problemmentioning

confidence: 99%

An axis-free overset grid in spherical polar coordinates for simulating 3D self-gravitating flows

Wongwathanarat¹,

Hammer²,

Müller³

2010

A&A

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Aims. Three dimensional explicit hydrodynamic codes based on spherical polar coordinates using a single spherical polar grid suffer from a severe restriction of the time step size due to the convergence of grid lines near the poles of the coordinate system. More importantly, numerical artifacts are encountered at the symmetry axis of the grid where boundary conditions have to be imposed that flaw the flow near the axis. The first problem can be eased and the second one avoided by applying an overlapping grid technique. Methods. A type of overlapping grid in spherical coordinates is adopted. This so called "Yin-Yang" grid is a two-patch overset grid proposed by Kageyama and Sato for geophysical simulations. Its two grid patches contain only the low-latitude regions of the usual spherical polar grid and are combined together in a simple manner. This property of the Yin-Yang grid greatly simplifies its implementation into a 3D code already employing spherical polar coordinates. It further allows for a much larger time step in 3D simulations using high angular resolution ( < ∼ 1 • ) than that required in 3D simulations using a regular spherical grid with the same angular resolution. Results. The Yin-Yang grid is successfully implemented into a 3D version of the explicit Eulerian grid-based code PROMETHEUS including self-gravity. The modified code successfully passed several standard hydrodynamic tests producing results which are in very good agreement with analytic solutions. Moreover, the solutions obtained with the Yin-Yang grid exhibit no peculiar behaviour at the boundary between the two grid patches. The code has also been successfully used to model astrophysically relevant situations, namely equilibrium polytropes, a Taylor-Sedov explosion, and Rayleigh-Taylor instabilities. According to our results, the usage of the Yin-Yang grid greatly enhances the suitability and efficiency of 3D explicit Eulerian codes based on spherical polar coordinates for astrophysical flows.

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“…Unstructured hybrid meshes would also typically adopt a thin O mesh in the inner wall layer. Non-conformal interfaces of the patched or overlapped type would certainly enhance the grid quality, at the price of additional computational complexities and some local loss of accuracy occurring on the fine-to-coarse boundaries [70]. Local grid skewness accompanied by a potential lack of smoothness will pollute the numerical solution obtained with low-order methods, introducing spurious entropy generation largely affecting the features of the vortex shedding flow.…”

Section: Numerical Aspectsmentioning

confidence: 99%

A Review on Turbine Trailing Edge Flow

Sieverding

Manna

2020

IJTPP

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The paper presents a state-of-the-art review of turbine trailing edge flows, both from an experimental and numerical point of view. With the help of old and recent high-resolution time resolved data, the main advances in the understanding of the essential features of the unsteady wake flow are collected and homogenized. Attention is paid to the energy separation phenomenon occurring in turbine wakes, as well as to the effects of the aerodynamic parameters chiefly influencing the features of the vortex shedding. Achievements in terms of unsteady numerical simulations of turbine wake flow characterized by vigorous vortex shedding are also reviewed. Whenever possible the outcome of a detailed code-to-code and code-to-experiments validation process is presented and discussed, on account of the adopted numerical method and turbulence closure.

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Review of numerical computation of compressible flows with artificial interfaces

Cited by 8 publications

References 85 publications

Hybrid simulations of rarefied supersonic gas flows in micro-nozzles

Hybrid simulations of rarefied supersonic gas flows in micro-nozzles

An axis-free overset grid in spherical polar coordinates for simulating 3D self-gravitating flows

A Review on Turbine Trailing Edge Flow

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