Edge‐based finite element implementation of the residual‐based variational multiscale method

Lins, Erb F.; Elias, Renato N.; Guerra, Gabriel M.; Rochinha, Fernando A.; Coutinho, Álvaro L. G. A.

doi:10.1002/fld.1941

Cited by 19 publications

(10 citation statements)

References 39 publications

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“…Differences between RBVMS and LES solutions can be observed in Figure that features the velocity field in the middle plane. It is also worth mentioning that the computational performance of the time evolution nonlinear solvers employed in both formulations are quite similar, as observed previously in and .…”

Section: Results and Analysessupporting

confidence: 77%

Numerical simulation of particle‐laden flows by the residual‐based variational multiscale method

Guerra

Zio

Camata

et al. 2013

Numerical Methods in Fluids

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SUMMARYWe present a finite element residual‐based variational multiscale formulation applied to the numerical simulation of particle‐laden flows. We employ a Eulerian–Eulerian framework to describe the flows in which the mathematical model results from the incompressible Navier–Stokes equation combined with an advection–diffusion transport equation. Special boundary conditions at the bottom are introduced to take into account sediments deposition. Computational experiments are organized in two examples. The first example deals with the well‐known gravity current benchmark, the lock‐exchange configuration. The second also employs for the current initiation the lock configuration, but the sediment particles are endowed with a deposition velocity and are allowed to leave the domain in the moment they reach the bottom. This is intended to mimic, partially, as the bed morphology is not allowed to change, the deposition process, in which sediment deposits are no longer carried by the flow. The spatial pattern of the deposition and its correlation with flow structures are the main focus of this analysis. Numerical experiments have shown that the present formulation captures most of the relevant turbulent flow features with reasonable accuracy, when compared with highly resolved numerical simulations and experimental data. Copyright © 2013 John Wiley & Sons, Ltd.

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Section: Results and Analysessupporting

confidence: 77%

Numerical simulation of particle‐laden flows by the residual‐based variational multiscale method

Guerra

Zio

Camata

et al. 2013

Numerical Methods in Fluids

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“…In [47], we extended our Navier-Stokes solver, built upon an edge-based stabilized formulation and identified as Edge-CFD, such that a RB-VMS method is incorporated as an alternative formulation to the former one. Following the standard framework of a VMS method, we assume that the primitive variables are decomposed in two fields…”

Section: Residual Based Variational Multiscale Methodsmentioning

confidence: 99%

“…In [47], we extend our single fluid edge-based stabilized finite element incompressible flow solver mentioned before to turbulent flows with RB-VMS, as a straightforward extension of standard stabilized methods with a modified advective velocity. This required a minimum modification of the existing highly optimized code.…”

Section: Introductionmentioning

confidence: 99%

Residual-based variational multiscale simulation of free surface flows

et al. 2010

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In this work we apply the residual-based variational multiscale method (RB-VMS) to the volume-of-fluid (VOF) formulation of free-surface flows. Using this technique we are able to solve such problems in a Large Eddy Simulation framework. This is a natural extension of our Navier-Stokes solver, which uses the RB-VMS finite element formulation, edge-based data structures, adaptive time step control, inexact Newton solvers and supports several parallel programming paradigms. The VOF interface capturing variable is advected using the computed coarse and fine scales velocity field. Thus, the RB-VMS technique can be readily applied to the free-surface solver with minor modifications on the implementation. We apply this technique to the solution of two problems where available data indicate complex free-surface behavior. Results are compared with numerical and experimental data and show that the present formulation can achieve good accuracy with minor impacts on computational efficiency.Keywords Variational multiscale method · Edge-based computations · Volume of fluid · Free surface flows

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“…We show here that stabilized finite element methods using appropriate stabilization parameters are adequate to deal with elements of aspect ratio up to the order of 1000. A variational multiscale formulation for the incompressible Navier‐Stokes equations, as well as a streamline upwind Petrov‐Galerkin (SUPG) method used to solve the SA turbulence equation, is presented for this purpose …”

Section: Introductionmentioning

confidence: 99%

“…A variational multiscale formulation for the incompressible Navier-Stokes equations, as well as a streamline upwind Petrov-Galerkin (SUPG) method used to solve the SA turbulence equation, is presented for this purpose. 14 The proposed framework is first verified using the well-known NACA0012 airfoil benchmark. The results obtained for turbulent flows around cylinders with 3 different geometries are also presented and compared to data from the literature.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic adaptive stabilized finite element solver for RANS models

Sari

Cremonesi

Khalloufi

et al. 2017

Numerical Methods in Fluids

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International audienceAerodynamic characteristics of various geometries are predicted using a finite element formulation coupled with several numerical techniques to ensure stability and accuracy of the method. First, an edge based error estimator and anisotropic mesh adaptation are used to detect automatically all flow features under the constraint of a fixed number of elements, thus controlling the computational cost. A Variational MultiScale stabilized finite element method is employed to solve the incompressible Navier-Stokes equations. Finally, the Spalart-Allmaras turbulence model is solved using the Streamline Upwind Petrov-Galerkin (SUPG) method. This paper is meant to show that the combination of anisotropic unsteady mesh adaptation with stabilized finite element methods provides an adequate framework for solving turbulent flows at high Reynolds numbers. The proposed method was validated on several test cases by confrontation with literature of both numerical and experimental results, in terms of accuracy on the prediction of the drag and lift coefficients as well as their evolution in time for unsteady cases. This article is protected by copyright. All rights reserved

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Edge‐based finite element implementation of the residual‐based variational multiscale method

Cited by 19 publications

References 39 publications

Numerical simulation of particle‐laden flows by the residual‐based variational multiscale method

Numerical simulation of particle‐laden flows by the residual‐based variational multiscale method

Residual-based variational multiscale simulation of free surface flows

Anisotropic adaptive stabilized finite element solver for RANS models

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