On Central-Difference and Upwind Schemes

Swanson, R. C.; Turkel, Eli

doi:10.1007/978-3-642-60543-7_10

Cited by 47 publications

(55 citation statements)

References 11 publications

(12 reference statements)

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“…The solution consisted of a strong shock wave, a contact surface, and a left-running rarefaction wave. The results show that the central-difference scheme is the most dissipative, confirming that the scalar dissipation is intrinsically more dissipative than the matrix dissipation [30]. The results also show that the van Leer scheme is more dissipative than the Roe scheme in resolving the shock wave, as well as the contact discontinuity as previously indicated [2,23].…”

Section: Implicit Operatorssupporting

confidence: 84%

Assessment of implicit operators for the upwind point Gauss–Seidel method on unstructured meshes

Kim

Kwon

2007

Computers & Fluids

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Section: Implicit Operatorssupporting

confidence: 84%

Assessment of implicit operators for the upwind point Gauss–Seidel method on unstructured meshes

Kim

Kwon

2007

Computers & Fluids

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“…The convectional fluxes are calculated with the fourth-order central scheme in a skew-symmetric form [28] ; the diffusive fluxes are calculated with the second-order central scheme and the classic third-order three-stage Rung-Kutta method is adopted for time integral. The artificial dissipation of Swanson and Turkel [29] is incorporated to stabilize the computation. The computation and flow conditions are set as Re=3000 (based on bulk velocity and the half-high of the channel; the corresponding friction Reynolds number: Re τ ≈180), Mach=0.5 (based on bulk velocity and velocity of sound at wall), Prandtl=0.72; the size of the computation domain is 4πh×2h×4πh/3 (longitude×normal×spanwise), the number of grids is 64×64×64.…”

Section: Numerical Methods and Validationmentioning

confidence: 99%

Large eddy simulation of compressible turbulent channel flow with spanwise wall oscillation

Fang

Shao

2009

Sci. China Ser. G-Phys. Mech. Astron.

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The influences of the modification of turbulent coherent structures on temperature field and heat transfer in turbulent channel flow are studied using large eddy simulation (LES) of compressible turbulent channel flows with spanwise wall oscillation (SWO). The reliability of the LES on such problems is proved by the comparisons of the drag reduction data with those of other researches. The high consistency of coherent velocity structures and temperature structures is found based on the analyses of the turbulent flow field. When the coherent velocity structures are suppressed, the transportations of momentum and heat are reduced simultaneously, demonstrating the same trend. This shows that the turbulent coherent structures have the same effects on the transportations of momentum and heat. The averaged wall heat flux can be reduced with appropriate oscillating parameters.large eddy simulation, spanwise wall oscillation, compressible, temperature field, heat transportation

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“…The utilization of the skew-symmetric form may reduce the aliasing error, and keep the numerical scheme more stable [13]. Furthermore, an artificial dissipation model [14] is incorporated into the numerical scheme for suppressing spurious oscillations. The time integration is performed using an explicit third-order three-step RungeKutta scheme.…”

Section: Methodsmentioning

confidence: 99%

Numerical investigation of compressibility effects in turbulent channel flows using large eddy simulation

Wang

Gao

Lee

2012

Sci. China Phys. Mech. Astron.

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The large eddy simulation (LES) of compressible turbulent channel flows at three different Mach numbers is performed in the present work, by extending the dynamic mixed subgrid-scale (SGS) model to compressible flows. The turbulent statistics agree well with those from the existing direct numerical simulation (DNS) results, indicating that the LES method established in the present work is reliable. The analysis of the turbulent fluctuations computed by the present LES reveals that the flows considered in this work follow the Morkovin's hypothesis. Thus, the compressibility effects are dominated by the mean field properties, and the relevant statistical ratios are invariant to the variation of Mach number. The near-wall streamwise streaks are more coherent and the spacing between streaks is wider as the Mach number increases. This can be regarded as a direct feature characterized by the compressibility effects. The restrained influences of compressibility effects on the production and dissipation of the turbulence kinetic energy are also identified based on the present LES results. compressibility, channel flow, large eddy simulation, subgrid-scale model PACS number(s): 98.70.Sa, 90.50.sb, 13.85.Tp Citation: Wang S Z, Gao Z X, Lee C H. Numerical investigation of compressibility effects in turbulent channel flows using large eddy simulation.Compressible turbulence has been one of the areas extracting much of the attention in turbulence research in these past decades, due to its crucial applications in hypersonic technology. Effects of compressibility can be categorized into two types [1], namely, those associated with variations of the mean properties, and those due to fluctuations of thermodynamic quantities (so-called acoustic effects). According to Morkovin's hypothesis, compressibility effects influencing the mean flow properties become dominant when pressure fluctuation is much less than its mean value [2]. Bradshaw [3] and Spina et al. [4] found that only the mean effects are significant for transonic and supersonic wall-bounded flows when Ma<5.Along with the continuous improvement on computational fluid dynamics and the rapid development of computer technology, numerical simulation has become an important tool for turbulence research. There are currently three approaches available for turbulence numerical simulations, i.e., the direct numerical simulation (DNS), the large eddy simulation (LES) and the Reynolds averaged NavierStokes (RANS). For LES, the turbulent instantaneous movement is decomposed into large scales and small scales through a filter. The quantities of large scales are directly computed from the equations of motion, while the effects of unresolved small scales of motion on large scales are imposed by subgrid-scale (SGS) terms [5]. Compared with DNS on the one hand, LES can save considerable computational efforts, and be adaptable to high Reynolds number flows. By comparing it with RANS, on the other hand, the SGS model can be universal and provide resolution of the fluctuations of large scale...

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On Central-Difference and Upwind Schemes

Cited by 47 publications

References 11 publications

Assessment of implicit operators for the upwind point Gauss–Seidel method on unstructured meshes

Assessment of implicit operators for the upwind point Gauss–Seidel method on unstructured meshes

Large eddy simulation of compressible turbulent channel flow with spanwise wall oscillation

Numerical investigation of compressibility effects in turbulent channel flows using large eddy simulation

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