• Title/Summary/Keyword: Three dimensional numerical computation

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A Numerical Study on the Two-Dimensional Turbulent Natural Convection Using a Low-Reynolds Number k-$\varepsilon$ Model (저레이놀즈수 k-$\varepsilon$ 모델을 사용한 2차원 자연대류 난류현상에 대한 수치적 연구)

  • 강덕홍;김우승;이관수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.3
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    • pp.741-750
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    • 1995
  • The turbulent buoyancy-driven flow in 2-dimensional enclosed cavities heated from the vertical side is numerically calculated for both cases of a Rayleigh number of 5*10$^{10}$ for air and 2.5*10$^{10}$ for water. Three different turbulence models are considered : standard k-.epsilon. model of Ozoe and low-Reynolds-number model of Lam and Bremhorst, and another low-Reynolds-number model of Davidson. The results indicate that the use of low-Reynolds number models is recommended for the indoor airflow computation, and the results from Davidson model are reasonably close to the reported experimental data. A sensitivity study shows that the amounts of wall-heat transfer and the velocity profiles with the Lam and Bremhorst model largely depend on the choice of the wall function for .epsilon..

Numerical Formulation for Flow Analysis of Dredged Soil (준설토 유동해석을 위한 유한요소 수식화)

  • Shin, Hosung
    • Journal of the Korean GEO-environmental Society
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    • v.15 no.3
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    • pp.41-48
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    • 2014
  • Experimental study of sedimentation and self-weight consolidation has been primary research area in dredged soil. However, good quality of the dredged soil and minimum water pollution caused by the pumping of reclaimed soil require intensive study of the flow characteristics of dredged material due to dumping. In this study, continuity and the equilibrium equations for mass flow assuming single phase was derived to simulate mass flow in dredged containment area. To optimize computation and modeling time for three dimensional geometry and boundary conditions, depth integration is applied to governing equations to consider three dimensional topography of the site. Petrov-Galerkin formulation is applied in spatial discretization of governing equations. Generalized trapezoidal rule is used for time integration, and Newton iteration process approximated the solution. DG and CDG technique were used for weighting matrix in discontinuous test function in dredged flow analysis, and numerical stability was evaluated by performed a square slump simulation. A comparative analysis for numerical methods showed that DG method applied to SU / PG formulation gives minimal pseudo oscillation and reliable numerical results.

Numerical Analysis of Fluid Flow in a Fuel Pump for a Turbopump System (터보펌프용 연료펌프의 내부 유동 해석)

  • Choi, B. S.;Yoon, E. S.;Park, M. R.
    • 유체기계공업학회:학술대회논문집
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    • 2001.11a
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    • pp.258-263
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    • 2001
  • A fuel pump for a turbopump system has been designed under an international co-work program. The liquid methane fuel pump has an inducer, in front of centrifugal impeller blades, to improve cavitation performance. The three dimensional viscous flow in the fuel pump was investigated through numerical computation. An arrangement of the inducer and impeller has yielded a strong interaction between inducer and impeller blades. The performance of the pump was evaluated from the calculated results. A parametric study was performed for various design variables, and it could oner a database for design parameters to design a fuel pump. A modified design of a fuel pump was proposed by KIMM to improve pump performance.

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Numerical study of CEDS scheme for turbulent flow (난류 유동장에 대한 CFDS 기법의 수치적 연구)

  • Moon Seong Mok;Kim Chongam;Rho Oh Hyun;Hong Seung Kyu
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.23-26
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    • 2002
  • An evaluation of one algebraic and two one-equation eddy viscosity-transport turbulence closure models as implemented to the CFDS(Characteristic Flux Difference Splitting) scheme is presented for the efficient computation of the turbulent flow. Comparisons of Baldwin-Lomax model as algebraic turbulence model and Baldwin-Barth and Spalart-Allmaras model as one-equation turbulence model are presented for three test cases for 3-dimensional flow. The numerical result of the CFDS schem is examined through comparison with the experimental data.

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Computation of dynamic stiffness and flexibility for arbitrarily shaped two-dimensional membranes

  • Chen, J.T.;Chung, I.L.
    • Structural Engineering and Mechanics
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    • v.13 no.4
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    • pp.437-453
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    • 2002
  • In this paper, dynamic stiffness and flexibility for circular membranes are analytically derived using an efficient mixed-part dual boundary element method (BEM). We employ three approaches, the complex-valued BEM, the real-part and imaginary-part BEM, to determine the dynamic stiffness and flexibility. In the analytical formulation, the continuous system for a circular membrane is transformed into a discrete system with a circulant matrix. Based on the properties of the circulant, the analytical solutions for the dynamic stiffness and flexibility are derived. In deriving the stiffness and flexibility, the spurious resonance is cancelled out. Numerical aspects are discussed and emphasized. The problem of numerical instability due to division by zero is avoided by choosing additional constraints from the information of real and imaginary parts in the dual formulation. For the overdetermined system, the least squares method is considered to determine the dynamic stiffness and flexibility. A general purpose program has been developed to test several examples including circular and square cases.

Study on Fluid Flow in a Rectangular Container Subjected to a Background Rotation with a Rotational Oscillation Using PIV System (PIV를 이용한 바탕회전하에서 회전요동하는 직사각형 용기 내의 유동해석)

  • Suh, Yong-Kweon;Choi, Yoon-Hwan;Kim, Sung-Kyun;Lee, Du-Yeol
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.6
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    • pp.845-851
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    • 2000
  • In this paper, we show the numerical and the experimental results of two-dimensional fluid motions inside a rectangular container subjected to a background rotation added by a rotational oscillation. In the PlY experiment we apply a new algorithm, new three step search(NTSS), to the velocity calculation. In the numerical computation, the linear Ekman-pumping model was used to take the bottom friction effect into account. It was found that it well produces the experimental results at low e number.

Numerical Flow Analysis of a Partial Admission Turbine Using a Frozen Rotor Method (프로즌 로터 기법을 이용한 부분흡입형 터빈 수치해석)

  • Noh, Jun-Gu;Jeong, Eun-Hwan;Lee, Eui-Seok;Kim, Jin-Han
    • The KSFM Journal of Fluid Machinery
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    • v.7 no.6 s.27
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    • pp.15-20
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    • 2004
  • Numerical analysis of the partial admission turbine in the KARI turbopump has been performed. Flow field of the partial admission turbine is intrinsically unsteady and three dimensional. To avoid heavy computational efforts, the frozen rotor method is adopted in computation and compared with the mixing plane approach. The frozen rotor method can represent the variation of a flow field along the circumferential direction of rotor blades, which have the different relative positions to the nozzle with one another. It also illustrates the wake loss mechanism starting from the lip of a nozzle, which is not captured in the mixing plane method. The frozen rotor method has proven to be an efficient tool for the design of a partial admission turbine.

Computation of Four Quadrant Performance for a Marine Propeller in Open Water (박용 프로펠러의 4상한 단독성능 계산)

  • Hyoung-Tae Kim;Jeong-Jung Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.4
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    • pp.1-10
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    • 2001
  • A numerical solution method of the incompressible Reynolds-Averaged Navier-Stokes equations is applied for calculating turbulent flows and performances of a marine propeller in open-water, four-quadrant conditions. Computed propeller flows of the model propeller P4381, for which the experimental data of the open-water performances exist, reveal complex viscous-flow characteristics including three-dimensional flow separations in various off-design conditions and also computed propeller thrusts and torques agree quite well with experimental data except some cases for which severe propeller cavitations occurred in the experiment.

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Computation of aerodynamic coefficients of a re-entry vehicle at Mach 6

  • R.C. Mehta;E. Rathakrishnan
    • Advances in aircraft and spacecraft science
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    • v.10 no.5
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    • pp.457-471
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    • 2023
  • The paper evaluates the aerodynamic coefficients on a blunt-nose re-entry capsule with a conical cross-section followed by a cone-flare body. A computer code is developed to solve three-dimensional compressible inviscid equationsfor flow over a Space Recovery Experiment (SRE) configuration at different flare-cone half-angle at Mach 6 and angle of attack up to 5°, at 1° interval. The surface pressure variation is numerically integrated to obtain the aerodynamic forces and pitching moment. The numerical analysis reveals the influence of flare-cone geometry on the flow characteristics and aerodynamic coefficients. The numerical results agree with wind tunnel results. Increase of cone-flare angle from 25° to 35° results in increase of normal force slope, axial forebody drag, base drag and location of centre of pressure by 62.5%, 56.2% and 33.13%, respectively, from the basic configuration ofthe SRE of 25°.

The Energy Release Rate of the Two Dimensional Cracked Body Under Thermal Stresses, Body Forces and Crack-Face Tractions (열응력, 내력 및 균열 경계하중을 고려한 2차원 균열문제의 에너지방출율)

  • 이태원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.9
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    • pp.2172-2180
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    • 1993
  • Under general loadings, including body forces, crack-face tractions and thermal loading, the energy release rate equation for a two-dimensional cracked body is presented. Defining the virtual crack extension as the variation of the geometry, the equation is directly derived by a shape design sensitivity of the potential energy. Although the form of the derived energy release rate equation is different from other researchers's results, the three example show that the former is exactly the same as the latter. However, the final integral equation do not involve the derivative of the displacement on the crack surface and crack tip region, thereby improving the numerical accuracy in the computation of the energy relase rate. Moreover, as it was derived from the governing equation including non-linear elasticity without special assumptions, the energy release rate of a elasto-plastic fracture can be obtained and any numerical stress analysis method can be applied.