• Title/Summary/Keyword: numerical discretization

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Numerical Study on the Active Control of Aerodynamic Properties of 2 - D Square Prism (2차원 각주의 공력특성 능동제어에 관한 수치해석 연구)

  • 이영호;김춘식;조대환
    • Journal of Advanced Marine Engineering and Technology
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    • v.17 no.1
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    • pp.33-44
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    • 1993
  • Active control of a flow field is essential to design efficient parts or elements relating to fluid machineries. The present study is aimed to suggest a new discretization technique of the convection term by renewing the non-conservative equation found in SOLA-VOF into a conservative one. And, as an application, flow characteristics are investigated by adjusting the backward ejecting velocity of 2-D square prism to control the aerodynamic properties. Strouhal number, drag and lift coefficient are compared in terms of various ejecting velocity. Among the results, the transient weak fluctuation of the lift and drag coefficient when the ejecting velocity equals channel inlet velocity is remarkably noticed.

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NUMERICAL DISCRETIZATION OF A POPULATION DIFFUSION EQUATION

  • Cho, Sung-Min;Kim, Dong-Ho;Kim, Mi-Young;Park, Eun-Jae
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.14 no.3
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    • pp.189-200
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    • 2010
  • A numerical method is proposed and analyzed to approximate a mathematical model of age-dependent population dynamics with spatial diffusion. The model takes a form of nonlinear and nonlocal system of integro-differential equations. A finite difference method along the characteristic age-time direction is considered and primal mixed finite elements are used in the spatial variable. A priori error estimates are derived for the relevant variables.

Numerical Study on the Performance Characteristics of a Centrifugal Compressor for a R134a Turbo-Chiller (R134a 터보냉동기용 원심압축기의 성능특성에 관한 수치해석적 연구)

  • Lee, Kyoung-Yong;Choi, Young-Seok;Park, Woon-Jean
    • The KSFM Journal of Fluid Machinery
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    • v.7 no.2 s.23
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    • pp.14-20
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    • 2004
  • In this study, the overall performance and the local flow field of the centrifugal compressor with the refrigerant HFC-l34a were numerically studied using CFX-TASCflow. The thermodynamic and transport properties of the refrigerant gas were modeled by REFPROP which is NIST refrigerant properties database. The impacts of a grid qualify, discretization scheme, turbulent model and interaction between a impeller and a cascade diffuser were analyzed comparatively. The results were compared with experimental data and 1-D design results using COMPAL and agreed well with others. The numerical method and data obtained in this study can be applied to the design and modification of centrifugal compressors with real gases

Numerical Simulation for the Advection Equation on the Sphere by Sphere-Lagrangian Method (Semi-Lagrangian법을 이용한 구 좌표계에서의 이류 방정식 해석)

  • Yoon Seong Y.
    • Journal of computational fluids engineering
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    • v.9 no.3
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    • pp.8-17
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    • 2004
  • A Semi-Lagrangian method based on CIP(Cubic Interpolated Pseudoparticle)method is proposed and it is applied to solve the two dimensional advection equation. Especially the attentions are given to settle the pole problem and to enhance the accuracy in solving the advection equation on the spherical coordinate system. Tn this algorithm, the CU method is employed as the Semi-Lagrangian method and extended to the spherical coordinate system. To enhance the accuracy of the solution, the spatial discretization is made by CIP method. The mathematical formulation and numerical results are also described. To verify the efficiency, accuracy and capability of proposed algorithm, two dimensional rotating cosine bell problem and the frontogenesis problem are simulated by the present scheme. As results, it is confirmed that the present scheme gives an accurate solution and settles the pole problem in the advection equation on the sphere.

Numerical Analysis of Flow- and Heat Transfer of a Spinning Blunt Body at Mach 5 (마하수 5에서 회전하는 blunt body의 유동 및 열전달에 관한 수치해석)

  • Lee Myung Sup;Lee Chang Ho;Park Seung O
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.172-177
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    • 2000
  • In this numerical work, three dimensional supersonic laminar flow and heat transfer of a blunt body(sphere-cone) at Mach 5 is simulated. The effects of angle of attack and the spin rate on the now and heat transfer are analysed. To solve the three dimensional compressible Wavier-Stokes equation, a finite volume method with the modified LDFSS scheme is employed for spatial discretization, and a point SGS implicit method is used for time integration. It is found that the heat transfer rate increases at the windward side and decreases at the leeward side with the angle of attack. The heat transfer rate at all surfaces slightly increases with the spin rate.

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An exact modeling method for dynamic analysis of multi-stepped rotor systems (다단 회전체계의 동적 해석을 위한 개선된 모델링 방법)

  • Park, Jong-Heuk;Hong, Seong-Wook;Lee, Chul;Kim, Jong-Wook
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.200-205
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    • 1998
  • Although discretization methods such as the transfer matrix method (TMM) and the finite element method (FEM) have played an important role in the design or analysis of rotor-bearing systems, continuous system modeling and analysis are often desirable especially for sensitivity analysis or design. The present paper proposes a comprehensive modeling procedure to obtain exact solution of general rotor-bearing systems. The proposed method considers a Timoshenko beam model and makes use of complex coordinate in the formulation. The proposed method provides exact eigensolutions and frequency response functions (FRFS) of general multi-stepped rotor-bearing systems. The first numerical example compares the proposed method with FEM. The numerical study proves that the proposed method is very efficient and useful for the analysis of rotor-bearing systems.

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Numerical Simulation of NO Emission and Combustion Characteristics in Furnace (연소로에서 NO 배출 및 연소특성에 대한 수치해석적 연구)

  • 전영남
    • Journal of Korean Society for Atmospheric Environment
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    • v.12 no.5
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    • pp.577-585
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    • 1996
  • A screening study was performed in order to resolve the flow, combustion and emission characteristics of the gas furmace with co-axial diffusion flane burner. A control-valume based finite-difference method with the power-law scheme was employed for discretization. Numerical procedure for the differential equation was used by SIMPLEST to enclosute rapid converge. A k-.varepsilon. model was incorporated for the closure of turbulence. The mass fraction and mixture fraction were calculated by cinserved scalar method. An equilibrium analysis was employed to determine the concentration of radicals in the product stream and conserbation equations were them solved for N amd NO by Zelovich reaction scheme. The method was exercised in a simple one-dimensional case first, to determine the effects of air ratio, temperature and residence time on NO formation and applied to a furnace with co-axial diffusion flame burner.

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Hydroelastic vibration analysis of wetted thin-walled structures by coupled FE-BE-Procedure

  • Rohr, Udo;Moller, Peter
    • Structural Engineering and Mechanics
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    • v.12 no.1
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    • pp.101-118
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    • 2001
  • The reliable prediction of elastic vibrations of wetted complex structures, as ships, tanks, offshore structures, propulsion components etc. represent a theoretical and numerical demanding task due to fluid-structure interaction. The paper presented is addressed to the vibration analysis by a combined FE-BE-procedure based on the added mass concept utilizing a direct boundary integral formulation of the potential fluid problem in interior and exterior domains. The discretization is realized by boundary element collocation method using conventional as well as infinite boundary element formulation with analytical integration scheme. Particular attention is devoted to modelling of interior problems with both several separate or communicating fluid domains as well as thin-walled structures wetted on both sides. To deal with this specific kind of interaction problems so-called "virtual" boundary elements in areas of cut outs are placed to satisfy the kinematical conditions in partial connected fluid domains existing in realistic tank systems. Numerical results of various theoretical and practical examples demonstrate the performance of the BE-methodology presented.

Numerical analysis of Brazilian split test on concrete cylinder

  • Wosatko, Adam;Winnicki, Andrzej;Pamin, Jerzy
    • Computers and Concrete
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    • v.8 no.3
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    • pp.243-278
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    • 2011
  • The paper presents simulations of the Brazilian test using two numerical models. Both models are regularized in order to obtain results independent of discretization. The first one, called gradient damage, is refined by additional averaging equation which contains gradient terms and an internal length scale as localization limiter. In the second one, called viscoplastic consistency model, the yield function depends on the viscoplastic strain rate. In this model regularization properties are governed by the assumed strain rate. The two models are implemented in the FEAP finite element package and compared in this paper. Parameter studies of the split test are performed in order to point out the features of each model.

Numerical Analysis of the 3-D Flow Field in a Globe Valve Trim under High Pressure Drop (고차압 제어용 글로브 밸브 트림 내부의 3차원 유동장 해석)

  • Yoon, Joon-Yong;Byun, Sung-Joon;Yang, Jae-Mo;Lee, Do-Hyung
    • The KSFM Journal of Fluid Machinery
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    • v.4 no.3 s.12
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    • pp.14-20
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    • 2001
  • Numerical analysis of the three dimensional turbulent flow field in a complex valve trim is carried out to confirm the possibility whether this simulation tool can be used as a design tool or not. The simulation of the incompressible flow in a glove valve is performed by using the commercial code. CFD-ACEA utilizes the finite volume approach as a discretization scheme, and the pressure-velocity coupling is made from SIMPLEC algorithm in it. Four flow cases of the control valve are investigated, and the valve flow coefficient for each case is compared with the experimental data. Simulation results show a good agreement with the experiments, and it is observed that the cavitation model improves the simulation results.

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