Finite element analysis of laminar and turbulent flows using LES and subgrid-scale models

Popiolek, Tales Luiz; Awruch, Armando Miguel; Teixeira, Paulo R.F.

doi:10.1016/j.apm.2005.03.019

Cited by 8 publications

(2 citation statements)

References 18 publications

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“…In the dynamic model, the filtered variables obtained with the first filtering process (using, for example, the box filter) are submitted to the second filtering process using a test filter. For a given node, a variable resulting from the second filtering process is obtained by calculating the mean value of the first filtered variables at all surrounding nodes connected to this node by cell edges …”

Section: Governing Equations and Basic Schemes Of Numerical Approximamentioning

confidence: 99%

Extension of the local domain‐free discretization method to large eddy simulation of turbulent flows

Zhou

2019

Numerical Methods in Fluids

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Summary In this work, an immersed boundary method, called the local domain‐free discretization (DFD) method, is extended to large eddy simulation (LES) of turbulent flows. The discrete form of partial differential equations at an interior node may involve some nodes outside the solution domain. The flow variables at these exterior dependent nodes are evaluated via linear extrapolation along the direction normal to the wall. To alleviate the requirement of mesh resolution in the near‐wall region, a wall model based on the turbulence boundary layer equations is introduced. The wall shear stress yielded by the wall model and the no‐penetration condition are enforced at the immersed boundary to evaluate the velocity components at an exterior dependent node. For turbulence closure, a dynamic subgrid scale (SGS) model is adopted and the Lagrangian averaging procedure is used to compute the model coefficient. The SGS eddy viscosity at an exterior dependent node is set to be equal to that at the outer layer. To maintain the mass conservation near the immersed boundary, a mass source/sink term is added into the continuity equation. Numerical experiments on relatively coarse meshes with stationary or moving solid boundaries have been conducted to verify the ability of the present LES‐DFD method. The predicted results agree well with the published experimental or numerical data.

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Section: Governing Equations and Basic Schemes Of Numerical Approximamentioning

confidence: 99%

Extension of the local domain‐free discretization method to large eddy simulation of turbulent flows

Zhou

2019

Numerical Methods in Fluids

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“…For example, Wienken et al (2002) presented a simulation of turbulent ows in complex geometries using SUPG for discretization. Popiolek et al (2006) adopted the nite element analysis of laminar and turbulent ows using subgrid-scale models simulating the two-and three-dimensional ows in a lid-driven cavity and over a backward-facing step. Young et al (2006) numerically simulated the turbulent ows in an external eld with the Smagorinsky's SGS eddy viscosity model using a three-step FEM-BEM model while Wenquan et al (2011) used dynamic subgrid-scale models to simulate the energy transfer from large scales toward subgridscales.…”

Section: Iles and Sfemmentioning

confidence: 99%

Finite calculus. A stabilized finite element method for solving the Navier-Stokes equations. Application to ocean turbulence

Lamorena German

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Ocean turbulence is a classic example of turbulent motion and observations of turbulence in the ocean lack in regions of complex topography since in-situ and experimental data are complicated to obtain. As a result, ocean circulation and flow interaction with obstacles such as seamounts and submarine canyons rely heavily on modelling and numerical simulation such that these are the only tools that can provide insights and ideas which are essential to the scientific community. This research investigated the capability of a stabilized finite element method (SFEM) based on the finite increment calculus (FIC) procedure, which is one of the most promising approaches to numerically simulate turbulent flows with particular interest in its application in simulating oceanic turbulence. The use of the FIC procedure allows solution of a wide range of fluid flow problems without the need of a turbulence model. The available numerical model was first validated through numerical simulations of various test cases such as Taylor-Couette flow, Ekman spiral, lock-exchange flow and circulation driven by oscillatory forcing over a theoretical submarine canyon model. Excellent qualitative agreement with available numerical and experimental data was obtained through minimal modification of the numerical model using TCL programming codes. To improve on modeling capabilities, which eventually allowed simulation of oceanic turbulence, a systematic modification of the numerical model was done by introducing additional paramaters on the governing equation, which is the incompressible Navier-Stokes equations. The resulting stabilized finite element equation was subsequently implemented into the numerical model, and the modification produced a coastal ocean model version. It was validated through numerical simulations of flow in coastal areas affected by topography, upwelling flow and submarine canyon. These flows are particularly reliant on numerical simulation, as the extreme nature of their flow makes obtention of accurate and reliable experimental data difficult or nearly impossible. The FIC approach has shown the potential for providing a reliable, accurate and efficient method for numerical simulation of coastal processes. The various applications demonstrated the good performance of the numerical model, and the computational results agree well with the theoretical and experimental data.

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Analysis of mixed convection in transient laminar and turbulent flows in driven cavities

Santos

Piccoli

França

et al. 2011

International Journal of Heat and Mass Transfer

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Finite element analysis of laminar and turbulent flows using LES and subgrid-scale models

Cited by 8 publications

References 18 publications

Extension of the local domain‐free discretization method to large eddy simulation of turbulent flows

Extension of the local domain‐free discretization method to large eddy simulation of turbulent flows

Finite calculus. A stabilized finite element method for solving the Navier-Stokes equations. Application to ocean turbulence

Analysis of mixed convection in transient laminar and turbulent flows in driven cavities

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