• Title/Summary/Keyword: Finite Volume Method of Upwind Scheme

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Unstructured-grid Pressure-based Method for Analysing Incompressible flows (비정형격자 압력기준 유동해석기법을 이용한 비압축성 유동해석)

  • Kim J.;Kim T. J.;Kim Y. M.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.42-47
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    • 1998
  • The pressure-based methods are very popular in CFD because it requires less computer core memory compared to other coupled or density-based solvers. Currently structured-mesh methodology based on pressure-based algorithm is quite mature to apply to the practical problems. The unstructured mesh method needs much more computer memory than the structured-mesh method. However the pressure-based method utilizing the sequential approach does not require very large memory used for unstructured-mesh density-based solvers. The present study has developed the unstructured grid pressure-based method. Cell-centered finite volume method was selected due to robustness for imposing various boundary conditions and easy implementation of higher-order upwind scheme. The predictive capability of present method has validated against several benchmark problems.

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Numerical Analysis on HVAC Characteristics of Mugunghwa Passenger Car (무궁화 객차 HVAC 열유동 특성 해석)

  • 남성원
    • Proceedings of the KSR Conference
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    • 2000.11a
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    • pp.514-520
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    • 2000
  • Numerical simulation is conducted to clarify the heat transfer and fluid flow characteristics of HVAC(Heating, Ventilating and Air-Conditioning) for Mugunghwa passenger car. The HVAC system is installed under the floor of carbody. This new HVAC system has a lot of merits in respect of the center of gravity of carbody, flow induced noise and reduction of condensation water etc. The standard k-epsilon turbulent model and SIMPLEC algorithm based on finite volume method are used to solve the physical HVAC model. To assure convergence, QUICK scheme for momentum equation and the first order upwind scheme for turbulent equations are used. From the results of simulation, the temperature and velocity magnitude are also distributed uniformly in the interior of car.

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Numerical Analysis on HVAC Characteristics of Train with non-uniform Interior Cross-section (비균일 단면을 가진 철도차량의 내부 열유동 해석)

  • Nam Seong-Won;Kim Hyeong-Jin
    • Proceedings of the KSR Conference
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    • 2004.06a
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    • pp.685-689
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    • 2004
  • Numerical simulation is conducted to clarify the heat transfer and fluid flow characteristics of HVAC(Heating, Ventilating and Air-Conditioning) for double' deck train. The HVAC system is installed under the roof of carbody. In the lay-out of HVAC system, air duct must be installed to supply air to 1st and 2nd floor respectively. The standard k-$\epsilon$ and LES models for turbulence and SIMPLE algorithm for pressure equation hased on finite volume method are used to solve the physic a] HVAC model. To assure convergence, QUICK scheme for momentum equation and the 2nd order upwind scheme for turbulent equations arc used. From the results of simulation, the temperature and velocity magnitude are also distributed uniformly in the interior of double-deck passenger car.

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Numerical Analysis on the HVAC Characteristics of Double-deck Train (2층 객차의 HVAC특성 전산해석)

  • Nam Seong-Won;Kim Hyeong-Jin
    • Proceedings of the KSR Conference
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    • 2003.10c
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    • pp.358-362
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    • 2003
  • Numerical simulation is conducted to clarify the heat transfer and fluid flow characteristics of HVAC(Heating, Ventilating and Air-Conditioning} for double-deck train. The HVAC system is installed under the roof of carbody. In the lay-out of HVAC system, air duct must be installed to supply air to 1st and 2nd floor respectively. The standard k-epsilon turbulent models and SIMPLEC algorithm based on finite volume method are used to solve the physical HVAC model. To assure convergence, QUICK scheme for momentum equation and the first order upwind scheme for turbulent equations are used. From the results of simulation, the temperature and velocity magnitude are also distributed uniformly in the interior of passenger car.

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Flow Visualization of a Commercial Passenger Airplane Realized by Reverse Engineering (역공학으로 구현한 상용 여객기에서 유동 가시화)

  • Kim, Yang-Kyun;Kim, Sung-Cho;Kim, Jeong-Soo;Choi, Jong-Wook;Jin, Hak-Su
    • 한국가시화정보학회:학술대회논문집
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    • 2006.12a
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    • pp.149-152
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    • 2006
  • This paper describes the flow visualization around the model of a commercial passenger airplane, Boeing 747-400, which cruises in the transonic speed. The geometry was realized through the reverse engineering based on the photogrammetry. The three-dimensional inviscid steady compressible governing equations are solved in the unstructured grid system under the cruise condition and in a finite volume method. The convective term is processed by the Crank-Nicholson scheme and first order upwind scheme is applied. The lift and drag forces in the wing with engines increase by 1.49% End 3.9%, respectively compared with the wing without engines.

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Free Surface Flow in a Trench Channel Using 3-D Finite Volume Method

  • Lee, Kil-Seong;Park, Ki-Doo;Oh, Jin-Ho
    • Journal of Korea Water Resources Association
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    • v.44 no.6
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    • pp.429-438
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    • 2011
  • In order to simulate a free surface flow in a trench channel, a three-dimensional incompressible unsteady Reynolds-averaged Navier-Stokes (RANS) equations are closed with the ${\kappa}-{\epsilon}$ model. The artificial compressibility (AC) method is used. Because the pressure fields can be coupled directly with the velocity fields, the incompressible Navier-Stokes (INS) equations can be solved for the unknown variables such as velocity components and pressure. The governing equations are discretized in a conservation form using a second order accurate finite volume method on non-staggered grids. In order to prevent the oscillatory behavior of computed solutions known as odd-even decoupling, an artificial dissipation using the flux-difference splitting upwind scheme is applied. To enhance the efficiency and robustness of the numerical algorithm, the implicit method of the Beam and Warming method is employed. The treatment of the free surface, so-called interface-tracking method, is proposed using the free surface evolution equation and the kinematic free surface boundary conditions at the free surface instead of the dynamic free surface boundary condition. AC method in this paper can be applied only to the hydrodynamic pressure using the decomposition into hydrostatic pressure and hydrodynamic pressure components. In this study, the boundary-fitted grids are used and advanced each time the free surface moved. The accuracy of our RANS solver is compared with the laboratory experimental and numerical data for a fully turbulent shallow-water trench flow. The algorithm yields practically identical velocity profiles that are in good overall agreement with the laboratory experimental measurement for the turbulent flow.

A STUDY ON IMPLICIT METHOD FOR SOLVING INCOMPRESSIBLE FLOW WITH UNSTRUCTURED MESHES (비정렬 격자상에서 비압축성 유동해석을 위한 음해법에 대한 연구)

  • Kim, M.G.;Ahn, H.T.
    • Journal of computational fluids engineering
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    • v.19 no.1
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    • pp.27-33
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    • 2014
  • A new and efficient implicit scheme is proposed to obtain a steady-state solution in time integration and the comparison of characteristics with the approximation ways for the implicit method to solve the incompressible Navier-Stokes equations is provided. The conservative, finite-volume cell-vertex upwind scheme and artificial compressibility method using dual time stepping for time accuracy is applied in this paper. The numerical results obtained indicate that the direct application of Jacobian matrix to the Lower and upper sweeps of implicit LU-SGS leads to better performance as well as convergence regardless of CFL number and true time step than explicit scheme and approximation of Jacobian matrix. The flow simulation around box in uniform flow with unstructured meshes is demonstrated to check the validity of the current formulation.

Parallelization of an Unstructured Implicit Euler Solver (내재적 방법을 이용한 비정렬 유동해석 기법의 병렬화)

  • Kim J. S.;Kang H. J.;Park Y. M.;Kwon O. J.
    • Journal of computational fluids engineering
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    • v.5 no.2
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    • pp.20-27
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    • 2000
  • An unstructured implicit Euler solver is parallelized on a Cray T3E. Spatial discretization is accomplished by a cell-centered finite volume formulation using an upwind flux differencing. Time is advanced by the Gauss-Seidel implicit scheme. Domain decomposition is accomplished by using the k-way n-partitioning method developed by Karypis. In order to analyze the parallel performance of the solver, flows over a 2-D NACA 0012 airfoil and 3-D F-5 wing were investigated.

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Turbulent Flow Calculations Using an Unstructured Hybrid Meshes (2차원 혼합격자를 이용한 난류유동 계산)

  • Kim J. S.;Oh W. S.;Kwon O. J.
    • 한국전산유체공학회:학술대회논문집
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    • 1999.05a
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    • pp.90-97
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    • 1999
  • An implicit turbulent flow solver is developed for 2-D unstructured hybrid meshes. Spatial discretization is accomplished by a cell-centered finite volume formulation using an upwind flux differencing. Time is advanced by an implicit backward Euler time stepping scheme. Flow turbulence effects are modeled by the Spalart-Allmaras one equation model, which is coupled with wall function. The numerical method is applied for flows on a flat plate, the NACA 0012 airfoil, and the Douglas 3 element airfoil. The results are compared with experimental data.

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A Numerical Study on the Planar Contraction Flow of Oldroyd B Fluids (Oldroyd B 유체의 평면 수축 유동에 관한 수치 해석적 연구)

  • Yoo, Jung-Yul;Na, Yang
    • The Korean Journal of Rheology
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    • v.2 no.1
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    • pp.33-45
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    • 1990
  • This study analyzes the planar 4:1 contraction flow of viscoelastic fluids with retardation time using finite volume method. To consider separately the elasticity effect of the viscoelastic fluid without shear thinn-ing effect, Oldroyd B liquid model is adopted for the numerical simulation. Instead of the stream function-vorticity formulation, SIMPLER algorithm with staggered grid system which incorporates primitive variable has been introduced in discretizing the momentum equations. An upwind corrected scheme has been used in discetizing the constitutive equations for the non-Newtonian part of the stress. The size of the corner vortex is shown to be slightly influenced by the Weissenberg number. However as the Weissenberg number is increased the chang-ing of the vortex shape agrees qualitatively well with some experimental studies.

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