An improvement of fractional-step methods for the incompressible Navier-Stokes equations

Lê, Hung; Moin, Parviz

doi:10.1016/0021-9991(90)90134-m

Cited by 53 publications

(78 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The pressure-velocity coupling is handled by a fractional-step method [21,22] that ensures incompressibility at each sub-step of the RK scheme. To model the sub-grid scales (SGS), not explicitly resolved by the grid, the SGS dynamic model developed by Germano et al [23] was used.…”

Section: Large-eddy Simulation Of the Confined Jetmentioning

confidence: 99%

Turbulent Flow and Dispersion of Inertial Particles in a Confined Jet Issued by a Long Cylindrical Pipe

Sbrizzai

Verzicco

Soldati

2008

Flow Turbulence Combust

View full text Add to dashboard Cite

In this work we examine first the flow field of a confined jet produced by a turbulent flow in a long cylindrical pipe issuing in an abrupt angle diffuser. Second, we examine the dispersion of inertial micro-particles entrained by the turbulent flow. Specifically, we examine how the particle dispersion field evolves in the multiscale flow generated by the interactions between the large-scale structures, which are geometry dependent, with the smaller turbulent scales issued by the pipe which are advected downstream. We use Large-Eddy-Simulation (LES) for the flow field and Lagrangian tracking for particle dispersion. The complex shape of the domain is modelled using the immersed-boundaries method. Fully developed turbulence inlet conditions are derived from an independent LES of a spatially periodic cylindrical pipe flow. The flow field is analyzed in terms of local velocity signals to determine spatial coherence and decay rate of the coherent K-H vortices and to make quantitative comparisons with experimental data on free jets. Particle dispersion is analyzed in terms of statistical quantities and also with reference to the dynamics of the coherent Flow Turbulence Combust (2009) 82:1-23 structures. Results show that the particle dynamics is initially dominated by the Kelvin-Helmholtz (K-H) rolls which form at the expansion and only eventually by the advected smaller turbulence scales.

show abstract

Section: Large-eddy Simulation Of the Confined Jetmentioning

confidence: 99%

Turbulent Flow and Dispersion of Inertial Particles in a Confined Jet Issued by a Long Cylindrical Pipe

Sbrizzai

Verzicco

Soldati

2008

Flow Turbulence Combust

View full text Add to dashboard Cite

show abstract

“…(1) and (2), which has been widely used in the literature (Kim & Moin, 1985;Le & Moin, 1991;Akselvoll & Moin, 1996). Let Ai and B, represent the terms treated explicitly (e.g., third-order Runge-Kutta) and implicitly (e.g., Crank-Nicolson) , respectively.…”

Section: Jongwoo You Haecheon Choi and Lung Yul Yoomentioning

confidence: 99%

A modified fractional step method of keeping a constant mass flow rate in fully developed channel and pipe flows

You

Choi

Yoo

2000

KSME International Journal

View full text Add to dashboard Cite

The objective of this paper is to present a modified fractional step method of keeping a constant mass flow rate in spatially periodic flows, because original fractional step methods do not precisely keep the mass flow rate constant in time. In the modified method, the mean and fluctuating pseudo-pressure gradients are separately obtained at each time step. This method is successfully applied to channel and pipe flows and shown to be suitable for maintaining a constant mass flow rate in time.

show abstract

“…The following scheme adapts the principle of the projection method to derive an explicit time advancement scheme using a third-order compact Runge-Kutta method. Rewriting Equation (2) as (6 (t =f(6 )−9p (4) yields the scheme 6 r,s =6 r − 1,1 +a rs f(6 r − 1,2 )Dt (5) 6 r,s =6 r,s −a rs Dt9p r,s (6) where r is the sub-step index of the three-step Runge-Kutta method. There are two velocity fields that are marched in time.…”

Section: The Time Advancement Schemementioning

confidence: 99%

“…This basic scheme was also considered by Le and Moin [6], who added an implicit time marching for the diffusion term and approximated p r,s (r52) by p 3,s of the previous step and a ratio of a rs . So Equation (9) can be solved only once per time step.…”

Section: The Time Advancement Schemementioning

confidence: 99%

“…Here, the implicit time marching of the diffusion term was not implemented because it required solving additional elliptic equations and was found unnecessary for the cases studied in Section 5 in terms of numerical stability and accuracy. The pressure modification of Le and Moin [6] was found to reduce the computation time and thus was implemented in some of the cases in Section 5. However, this modification had no effect on the analysis presented in Sections 3 and 4.…”

Section: The Time Advancement Schemementioning

confidence: 99%

See 1 more Smart Citation

Stretched Cartesian grids for solution of the incompressible Navier-Stokes equations

Avital

Sandham

Luo

2000

Int. J. Numer. Meth. Fluids

View full text Add to dashboard Cite

An improvement of fractional-step methods for the incompressible Navier-Stokes equations

Cited by 53 publications

References 0 publications

Turbulent Flow and Dispersion of Inertial Particles in a Confined Jet Issued by a Long Cylindrical Pipe

Turbulent Flow and Dispersion of Inertial Particles in a Confined Jet Issued by a Long Cylindrical Pipe

A modified fractional step method of keeping a constant mass flow rate in fully developed channel and pipe flows

Stretched Cartesian grids for solution of the incompressible Navier-Stokes equations

Contact Info

Product

Resources

About