• Title/Summary/Keyword: Finite Volume

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Numerical Prediction of Turbulent Flow in Bare Rod Bundles Using Control Volume Based Finite Element Method

  • Im, In-Young;Cheong, Jong-Sik
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.10a
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    • pp.480-486
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    • 1995
  • Turbulent flow field in a subchannel of bare rod bundles has been numerically simulated using the control volume based finite element method. Launder & Ying model of Reynolds stress and Lam & Bremhorst low-Reynolds number model are implemented in k-$\varepsilon$ equations and momentum equations. Secondary flows are simulated using the stream function and vorticity approach. The control volume based finite element method enable to use the upwind scheme (donor cell scheme). Sensitivity of the constants in the models are studied, and proper values are found to get the close result to the measured flow distributions.

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Prediction of Cross Flow Fan Flow Using an Unstructured Finite Volume Method (비정렬 유한 체적법을 이용한 횡류홴 유동장 해석)

  • Kang, Dong-Jin;Bae, Sang-Su
    • The KSFM Journal of Fluid Machinery
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    • v.8 no.3 s.30
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    • pp.7-15
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    • 2005
  • A Navier-Stokes code has been developed to simulate the flow through a cross flow fan. It is based on an unstructured finite volume method and uses moving grid technique to model the rotation of the fan. A low Reynolds number turbulence model is used to calculate eddy viscosity. The basic algorithm is SIMPLE. Numerical simulations over a wide range of flow rate aye carried out to validate the code. Comparison of all numerical solutions with experimental data confirms the validity of the present code. Present numerical solutions show a noticeable improvement over a previous numerical method which is based on a model of body force to simulate the rotation of the impeller.

AN UNSTRUCTURED MESH FINITE VOLUME METHOD FOR MODELLING SALTWATER INTRUSION INTO COASTAL AQUIFERS

  • Liu, F.;Turner, I.;Anh, V.
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.561-577
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    • 2002
  • In this paper, a two-dimensional finite volume unstructured mesh method (FVUM) based on a triangular background interpolation mesh is developed for analysing the evolution of the saltwater intrusion into single and multiple coastal aquifer systems. The model formulation consists of a ground-water flow equation and a salt transport equation. These coupled and non-linear partial differential equations are transformed by FVUM into a system of differential/algebraic equations, which is solved using backward differentiation formulas of order one through five. Simulation results are compared with previously published solutions where good agreement is observed.

Finite Volume Analysis of a Supersonic Non-Equilibrium Flow Around an Axisymmetric Blunt Body

  • Haoui, R.
    • International Journal of Aeronautical and Space Sciences
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    • v.11 no.2
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    • pp.59-68
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    • 2010
  • The aim of this work is to analyze high temperature flows around an axisymmetric blunt body taking into account chemical and vibrational non-equilibrium state for air mixture species. For this purpose, a finite volume methodology is employed to determine the supersonic flow parameters around the axisymmetric blunt body. This allows the capture of a shock wave before a blunt body placed in supersonic free stream. The numerical technique uses the flux vector splitting method of Van Leer. Here, adequate time stepping parameters, along with Courant, Friedrich, Lewis coefficient and mesh size level are selected to ensure numerical convergence, sought with an order of $10^{-8}$.

Numerical Analysis of Transonic Laminar Flow in Turbomachinery Using Finite Volume Method(I) Cascade Flow Analysis (유한체적법을 이용한 터보기계 회전차내부의 천이음속.층류 유동해석 (I) 익렬 유동해석)

  • 조강래;오종식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.445-451
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    • 1993
  • For the calculation of transonic laminar flow fields in cascades of turbomachinery, a finite volume method employing Jameson's Runge-Kutta integration scheme as a basic algorithm is presented. The cell-vertex scheme introducing half-spacing mesh cells is developed. For the velocity gradients in the stress terms the integration with divergence theorem is used for the average concept. Some numerical results show good agreement with experimental data.

Finite element analysis of flow with moving free surface by volume of fluid method (VOF 방법에 의한 이동하는 자유표면이 존재하는 유동의 유한요소 해석)

  • Sin, Su-Ho;Lee, U-Il
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.9
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    • pp.1230-1243
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    • 1997
  • A numerical technique for simulating incompressible viscous flow with free surface is presented. The flow field is obtained by penalty finite element formulation. In this work, a modified volume of fluid (VOF) method which is compatible with 4-node element is proposed to track the moving free surface. This scheme can be applied to irregular mesh system, and can be easily extended to three dimensional geometries. Numerical analyses were done for two benchmark examples, namely the broken dam problem and the solitary wave propagation problem. The numerical results were in close agreement with the existing data. Illustrative examples were studied to show the effectiveness of the proposed numerical scheme.

A THREE-DIMENSIONAL UNSTRUCTURED FINITE VOLUME METHOD FOR ANALYSIS OF DROPLET IMPINGEMENT IN ICING (비정렬 격자 기반의 결빙 액적 해석을 위한 유한체적 기법)

  • Jung, K.Y.;Jung, S.K.;Myong, R.S.
    • Journal of computational fluids engineering
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    • v.18 no.2
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    • pp.41-48
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    • 2013
  • Ice accretion on the solid surface is an importance factor in assessing the performance of aircraft and wind turbine blade. Changes in the external shape due to ice accretion can greatly deteriorate the aerodynamic performance. In this study, a three-dimensional upwind-type second-order positivity-preserving finite volume CFD scheme based on the unstructured mesh topology is developed to simulate two-phase flow in atmospheric icing condition. The code is then validated by comparing with NASA IRT experimental data on the sphere. The present results of the collection efficiency are found to be in close agreement with experimental data and show improvement near the stagnation region.

A Study on Eulerian Finite Element Analysis for the Steady State Rolling Process (정상상태 압연공정의 유한요소 해석에 관한 연구)

  • Lee Y. S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.08a
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    • pp.184-196
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    • 2004
  • An Eulerian finite element analysis for the steady state rolling process is addressed. This analysis combines the crystal plasticity theory fur texture development as well as the continuum damage mechanics for growth of micro voids. Although an Eulerian analysis for steady state rolling has many advantages, it needs an initial assumption about the shape of control volume. However, the assumed control volume does not match the final shapes. To effectively predict the correct shape in an assumed control volume, a free surface correction algorithm and a streamline technique are introduced. Applications to plate rolling, clad rolling, and shape rolling will be given and the results will be discussed in detail.

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Analysis of Boltzmann transport equation with Finite Volume Method at Spherical coordinate (유한체적법을 통한 구면 좌표계에서의 볼츠만 수송방정식의 해석)

  • Oh, Hyuck-Keun;Jin, Jae-Sik;Lee, Joon-Sik
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1800-1805
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    • 2008
  • A "finite volume method" is proposed to predict heat transport in a spherical enclosure at micro/nanoscale with the Boltzmann transport equation (BTE). The gray version of the BTE with the relaxation time approximation has been applied. Pointing out similarity between radiative transfer equation (RTE) and BTE, the mapping process in RTE is adopted to treat the angular derivative term and linear algebraic discretization equation is derived by using the established method which is used in 2-D BTE in cartesian coordinates. The simulation results are compared to exact solution to RTE for various acoustic thicknesses and ratio of radii. The comparison shows that this method is logical and accurate, and it is possible to easily adopt various models in spherical BTE.

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A Study on the Level-Set Scheme for the Analysis of the Free Surface Flow by a Finite Volume Method (유한체적법에 의한 자유수면 유동해석에서 Level-Set 기법에 대한 연구)

  • Il-Ryong Park;Ho-Hwan Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.2
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    • pp.40-49
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    • 1999
  • A Finite Volume Method for the two-dimensional incompressible, two-fluids Navies-Stokes equation and level-set scheme are used to analyse the interface of two fluids, free-surface flow. The numerical characteristics and the applicability of level-set scheme are brief1y investigated and appraised by solving oscillating small surface wave in a water tank and dam break problems. In the numerical results, a method for improving the convergence of the solution is presented.

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