Finite Element Analysis in Fluid Dynamics

Chung, T. J.; Κεραμίδας, Γεώργιος

doi:10.1115/1.3240617

Cited by 30 publications

(39 citation statements)

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“…Owing to the non-linearity of the convective terms in the momentum equations, numerical methods must be employed to solve the complicated fluid mechanics problems at high Reynolds numbers. The commonly used numerical methods include the finite difference method (FDM) (Anderson 1995), the finite volume method (FVM) (Versteeg and Malalasekera 1995), and the finite element methods (FEM) (Chung 1978). The FEM is long renowned for its flexibility in treating problems with complex geometries.…”

Section: Introductionmentioning

confidence: 99%

Parallel FEM LES with one-equation subgrid-scale model for incompressible flows

Leung

2010

International Journal of Computational Fluid Dynamics

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This article develops a parallel large-eddy simulation (LES) with a one-equation subgrid-scale (SGS) model based on the Galerkin finite element method and three-dimensional (3D) brick elements. The governing filtered NavierStokes equations were solved by a second-order accurate fractional-step method, which decomposed the implicit velocity-pressure coupling in incompressible flow and segregated the solution to the advection and diffusion terms. The transport equation for the SGS turbulent kinetic energy was solved to calculate the SGS processes. This FEM LES model was applied to study the turbulence of the benchmark open channel flow at a Reynolds number Re t ¼ 180 (based on the friction velocity and channel height) using different model constants and grid resolutions. By comparing the turbulence statistics calculated by the current model with those obtained from direct numerical simulation (DNS) and experiments in literature, an optimum set of model constants for the current FEM LES model was established. The budgets of turbulent kinetic energy and vertical Reynolds stress were then analysed for the open channel flow. Finally, the flow structures were visualised to further reveal some important characteristics. It was demonstrated that the current model with the optimum model constants can predict well the organised structure near the wall and free surface, and can be further applied to other fundamental and engineering applications.

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Section: Introductionmentioning

confidence: 99%

Parallel FEM LES with one-equation subgrid-scale model for incompressible flows

Leung

2010

International Journal of Computational Fluid Dynamics

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“…The variational principle or weighted residue method is used to integrate the partial differential equation that becomes a system of algebraic equations or ordinary differential equations (when the problem depends on time). The nodal values of the variable studied are then estimated by the solution of this system (Chung, 1978). The method is completely general regarding geometry and the properties of the materials.…”

Section: Introductionmentioning

confidence: 99%

Multicomponent diffusion modeling and simulation in prato cheese salting using brine at rest: The finite element method approach

Bona

Silva

Borsato

et al. 2007

Journal of Food Engineering

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“…These methods offer the advantage of being able to handle problems on complex geometrical domains with ease and efficiency. The textbooks by Baker [ I ] and Chung [2] are devoted exclusively to the subject of fluid flow computation by the finite-element method, and references [3-101 are representative examples of the research effort in this area.…”

Section: Statement Of the Problem/motivationmentioning

confidence: 99%