The complementary RANS equations for the simulation of viscous flows

Kim, Kunho; Sirviente, A. I.; Beck, Robert F.

doi:10.1002/fld.892

Cited by 28 publications

(15 citation statements)

References 28 publications

(36 reference statements)

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“…The current research is based off of the work in [22] and [23]. Similar to the methods above, in [22] the velocity vector is decomposed into an irrotational (potential) velocity component and a vortical velocity term. The decomposition is substituted into the RANS equations and, after mathematical reduction, the "complementary RANS" equations are derived.…”

Section: Introductionmentioning

confidence: 99%

“…In [24], improvements were made to the original work of [22] by introducing a transpiration velocity term to the body boundary condition which improves the agreement between the inviscid and viscous solutions. The complementary RANS equations were solved using this improved velocity potential and a slight improvement in the solution time was realized.…”

Section: Introductionmentioning

confidence: 99%

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A velocity decomposition formulation for 2D steady incompressible lifting problems

Rosemurgy

Beck

Maki

2016

European Journal of Mechanics - B/Fluids

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The principle of velocity decomposition is used to efficiently and accurately solve the Navier-Stokes boundary-value problem for lifting flows. The velocity vector is decomposed as the sum of irrotational and vortical components. The irrotational component is represented using a velocity potential which satisfies the Laplace equation with a modified boundary condition that is written in terms of the Navier-Stokes solution. A viscous potential can be found which satisfies the Navier-Stokes problem directly outside of the rotational regions of the fluid such that the fluid domain over which the Navier-Stokes equations must be solved numerically can be greatly reduced. The viscous potential is used as a Dirichlet boundary condition for the total velocity on the boundaries of the reduced fluid domain. The velocity decomposition approach is used to solve for the flow over a 2D NACA0012 foil in both laminar and turbulent regimes.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A velocity decomposition formulation for 2D steady incompressible lifting problems

Rosemurgy

Beck

Maki

2016

European Journal of Mechanics - B/Fluids

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“…The perturbation scheme consists of first dividing the total pressure and velocity fields into inviscid and viscous parts and then in rewriting the governing NS equations for the perturbation fields only, assuming the inviscid flow is known from computations in the far-field model. This yields new forcing terms in the perturbation flow equations, which are function of inviscid flow fields representing the incident wave forcing (similar to,for example, Kim et al, 2005;Alessandrini, 2007). This (one-way) coupling approach makes it possible using a variety of fully realistic nonlinear and irregular wave forcings of the BL flow, besides the commonly used simple oscillatory or linear wave flows (see, for example, Dean and Dalrymple, 1991).…”

Section: Introductionmentioning

confidence: 99%

Large eddy simulation of sediment transport over rippled beds

Harris

Grilli

2014

Nonlin. Processes Geophys.

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Abstract. Wave-induced boundary layer (BL) flows over sandy rippled bottoms are studied using a numerical model that applies a one-way coupling of a "far-field" inviscid flow model to a "near-field" large eddy simulation (LES) NavierStokes (NS) model. The incident inviscid velocity and pressure fields force the LES, in which near-field, wave-induced, turbulent bottom BL flows are simulated. A sediment suspension and transport model is embedded within the coupled flow model. The numerical implementation of the various models has been reported elsewhere, where we showed that the LES was able to accurately simulate both mean flow and turbulent statistics for oscillatory BL flows over a flat, rough bed. Here we show that the model accurately predicts the mean velocity fields and suspended sediment concentration for oscillatory flows over full-scale vortex ripples. Tests show that surface roughness has a significant effect on the results. Beyond increasing our insight into wave-induced oscillatory bottom BL physics, sophisticated coupled models of sediment transport such as that presented have the potential to make quantitative predictions of sediment transport and erosion/accretion around partly buried objects in the bottom, which is important for a vast array of bottom deployed instrumentation and other practical ocean engineering problems.

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“…Specifically, in a new proposed hybrid approach, a modified and extended version of Zang et al's [3] 3D-NS-LES model is used in a perturbation scheme to simulate near-field, fine scale, turbulent bottom BL flows induced by arbitrary finite amplitude waves (i.e. similar to Kim et al [20] and Alessandrini [21]). NWT), which solves Euler equations in a FNPF formalism.…”

Section: Introductionmentioning

confidence: 99%

“…The perturbation scheme consists in first dividing the total pressure and velocity fields into inviscid and viscous perturbation parts and then to rewrite NS equations for the perturbation fields only; this yields new forcing terms, which are function of inviscid flow fields representing incident wave forcing (e.g. similar to Kim et al [20] and Alessandrini [21]). Moreover, in this approach, the computational domains for both NS-LES and FNPF models fully overlap, which makes it easy passing information from one domain to the other, although here we will just illustrate a one-way coupling, from large to fine scales flows.…”

Section: Introductionmentioning

confidence: 99%

A perturbation approach to large eddy simulation of wave‐induced bottom boundary layer flows

Harris¹,

Grilli²

2011

Numerical Methods in Fluids

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SUMMARY We present the development, validation, and application of a numerical model for the simulation of bottom boundary layer (BL) flows induced by arbitrary finite amplitude waves. Our approach is based on coupling a ‘near‐field’ local Navier–Stokes (NS) model with a ‘far‐field’ inviscid flow model, which simulates large scale incident wave propagation and transformations over a complex ocean bottom, to the near‐field, by solving the Euler equations, in a fully nonlinear potential flow boundary element formalism. The inviscid velocity provided by this model is applied through a (one‐way) coupling to a NS solver with large eddy simulation (LES), to simulate near‐field, wave‐induced, turbulent bottom BL flows (using an approximate wall boundary condition by assuming the existence of a log‐sublayer). Although a three‐dimensional (3D) version of the model exists, applications of the wave model in the present context have been limited to two‐dimensional (2D) incident wave fields (i.e. long‐crested swells), while the LES of near‐field wave‐induced turbulent flows is fully 3D. Good agreement is obtained between the coupled model results and analytic solutions for both laminar oscillatory BL flow and the steady streaming velocities caused by a wave‐induced BL, even when using open boundary conditions in the NS model. The coupled model is then used to simulate wave‐induced BL flows under fully nonlinear swells, shoaling over a sloping bottom, close to the breaking point. Finally, good to reasonable agreement is obtained with results of well‐controlled laboratory experiments for rough turbulent oscillatory BLs, for both mean and second‐order turbulent statistics. Copyright © 2011 John Wiley & Sons, Ltd.

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The complementary RANS equations for the simulation of viscous flows

Cited by 28 publications

References 28 publications

A velocity decomposition formulation for 2D steady incompressible lifting problems

A velocity decomposition formulation for 2D steady incompressible lifting problems

Large eddy simulation of sediment transport over rippled beds

A perturbation approach to large eddy simulation of wave‐induced bottom boundary layer flows

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