• Title/Summary/Keyword: Direct Numerical Method

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Modeling of Turbulent Molecular Mixing by the PDF Balance Method for Turbulent Reactive Flows (난류연소 유동장에서의 확률밀도함수 전달방정식을 이용한 난류혼합 모델링)

  • Moon, Hee-Jang
    • Journal of the Korean Society of Combustion
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    • v.2 no.1
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    • pp.39-51
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    • 1997
  • A review of probability density function(PDF) methodology and direct numerical simulation for the purpose of modeling turbulent combustion are presented in this study where particular attention is focused on the modeling problem of turbulent molecular mixing term appearing in PDF transport equation. Existing mixing models results were compared to those evaluated by direct numerical simulation in a turbulent premixed medium with finite rate chemistry in which the initial scalar field is composed of pockets of partially burnt gases to simulate autoignition. Two traditional mixing models, the least mean square estimations(LMSE) and Curl#s model are examined to see their prediction capability as well as their modeling approach. Test calculations report that the stochastically based Curl#s approach, though qualitatively demonstrates some unphysical behaviors, predicts scalar evolutions which are found to be in good agreement with statistical data of direct numerical simulation.

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Dog bone shaped specimen testing method to evaluate tensile strength of rock materials

  • Komurlu, Eren;Kesimal, Ayhan;Demir, Aysegul Durmus
    • Geomechanics and Engineering
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    • v.12 no.6
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    • pp.883-898
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    • 2017
  • To eliminate the holding and gluing problems making the direct tensile strength test hard to be applied, a new method of testing specimens prepared using lathe machine to make the dog bone shape is assessed whether it could be applied to determine accurate direct tensile strength values of rock materials. A series of numerical modelling analyses was performed using finite element method to investigate the effect of different specimen and steel holder geometries. In addition to numerical modelling study, a series of direct tensile strength tests was performed on three different groups of rock materials and a rock-like cemented material to compare the results with those obtained from the finite element analyses. A proper physical property of the lathed specimens was suggested and ideal failure of the dog bone shaped specimens was determined according to the results obtained from this study.

A Hydrodynamic-Acoustic Splitting Method for Aeroacoustic Noise Prediction of Wall-bounded Shear Flow (벽면 전단 유동의 공력 소음 해석을 위한 유동-음향 분리 기법)

  • Seo, J.H.;Moon, Young-J.
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.2060-2065
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    • 2003
  • Aeolian tone generation from a two dimensional circular cylinder is numerically investigated via direct numerical simulation and hydrodynamic-acoustic splitting method. All governing equation are spatially discretized with the sixth-order compact scheme and fourth-order Runge-Kutta method to avoid excessive numerical dissipations and dispersions of acoustic quantities. Comparisons of two results show that the previous splitting method can not accurately predict the aeroacoustic noise of wall bounded shear flow. In this study, a perturbation viscous term and a new energy equation have been developed. This modified splitting method accurately predicts aeroacoustic noise from wall-bounded shear flow. The present results agree very well with the direct numerical simulation solution.

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A Numerical Analysis on the solution of Poisson Equation by Direct Method (직접법을 이용한 Poisson 방정식 수치해법에 관하여)

  • Y.S. Shin;K.P. Rhee
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.3
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    • pp.62-71
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    • 1995
  • In the numerical analysis of incompressible unsteady Navier-stokes equation, large time is required for solving the pressure Poisson equation of the elliptic type at each time step. In this paper, a numerical analysis by the direct method is carried out to solve the pressure Poisson equation and the computing time is analyzed as mesh size increases. The pressure Poisson equation can be transformed to the boundary value problem by the Green theorem. The computing time for the convolution type of the domain integral can be reduced by using F.F.T. and the computing time in the direct method depends entirely on obtaining the solution of the boundary value problem. The numerical analysis on the known solutions is carried out and compared for the verification of the direct method. And the numerical analysis on the body boundary and domain decomposition problem are carried out with the computing time less than O($n^{3}$) in the (n.n) mesh.

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Direct Numerical Simulations of Turbulent Boundary Layer using OpenFOAM and Adapted Mesh (OpenFOAM과 어댑티드 격자를 이용한 난류 경계층의 직접 수치 모사)

  • Lee, Sang Bong
    • Journal of the Society of Naval Architects of Korea
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    • v.53 no.3
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    • pp.210-216
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    • 2016
  • Direct numerical simulations of a spatially developing turbulent boundary layer on a flat plate have been performed to verify the applicability of OpenFOAM and adapted mesh with prism layers to turbulent numerical simulation with high fidelity as well as provide a guideline on numerical schemes and parameters of OpenFOAM. Reynolds number based on a momentum thickness at inlet and a free-stream velocity was Reθ=300. Time dependent inflow fields with near-wall turbulent structures were generated by a method of Lund et al. (1998), which was to extract instantaneous velocity fields from an auxiliary simulation with rescaled and recycled velocities at inlet. To ascertain the statistical characteristics of turbulent boundary layer, the mean profiles of streamwise velocity and turbulent intensities obtained from structured and adapted meshes were compared with the previous data.

3D SIMULATION OF FLAPPING FLAGS IN A UNIFORM FLOW BY THE IMMERSED BOUNDARY METHOD

  • Huang, Wei-Xi;Sung, Hyung-Jin
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.141-148
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    • 2007
  • We present an immersed boundary (IB) method for 3D simulation of flappingflags in a uniform flow. The proposed formulation is manipulated on the basis of an efficient Navier-Stokes solver adopting the fractional step method and a staggered Cartesian grid system. A direct numerical method is developed to calculate the flag motion, with the elastic force treated implicitly. The fluid motion defined on an Eulerian grid and the flag motion defined on a Lagrangian grid are independently solved and the mass of flag is handled in a natural way. An additional momentum forcing is formulated from the flag motion equation in a way similar with the direct-forcing IB formulation and acts as the interaction force between the flag and ambient fluid. A series of numerical tests are performed and the present results are compared qualitatively and quantitatively with previous studies. The instantaneous flag motion is analyzed under different conditions and surrounding vortical structures are identified. The effects of physical parameters on the flapping frequency are studied.

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Static Analysis of Gas Bearing with Ultra Low Clearance by the Direct Numerical Solution Method (극소 공기막을 갖는 공기베어링의 직접수치해법을 이용한 정적해석)

  • Park, Sang-Sin;Chang, In-Bae;Hwang, Pyung;Han, Dong-Chul
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.120-126
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    • 1991
  • An expanded scheme of a direct numerical solution method for solving the Navier-Stokes equation considering the modified boundary conditions for gas lubrication with ultra low clearance at high .LAMBDA. region is presented. Many examples are calculated by this scheme and their results are compared to the previous solutions using P$^{2}$H$^{[-992]}$ . This scheme has the advantages of fast calculation time and stable convergence in high .LAMBDA. region, and gives very good results in the case of fluid film thickness discontinuity.

Study on the Time Increments in the Houblot Direct Integration Method (Houbolt 직접적분법의 시간증분에 관한 연구)

  • Son, Ju-Ri;Sin, Jung-Ho
    • 한국기계연구소 소보
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    • s.18
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    • pp.55-66
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    • 1988
  • Many direct integration methods are used for numerical analyses of dynamic motion. In these methods, the governing equations of a dynamic system are integrated successively using a step-by-step numerical integration procedure. Time derivatives in the equations are generally approximated using difference formulas involving one or more increments of the time. Time increment has closely relationship with the accuracy of the motion analysis. In this paper, a 4th order Houbolt direct integration method is derived. For a spring-mass system, the motion of the system are analyzed from the 3rd order Houbolt and the 4th order Houbolt approaches respectively. Finally the paper proposes the optimal time-increment based on the accuracy of numerical analyses.

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Direct identification of aeroelastic force coefficients using forced vibration method

  • Herry, Irpanni;Hiroshi, Katsuchi;Hitoshi, Yamada
    • Wind and Structures
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    • v.35 no.5
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    • pp.323-336
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    • 2022
  • This study investigates the applicability of the direct identification of flutter derivatives in the time domain using Rational Function Approximation (RFA), where the extraction procedure requires either a combination of at least two wind speeds or one wind speed. In the frequency domain, flutter derivatives are identified at every wind speed. The ease of identifying flutter derivatives in the time domain creates a paradox because flutter derivative patterns sometimes change in higher-order polynomials. The first step involves a numerical study of RFA extractions for different deck shapes from existing bridges to verify the accurate wind speed combination for the extraction. The second step involves validating numerical simulation results through a wind tunnel experiment using the forced vibration method in one degree of freedom. The findings of the RFA extraction are compared to those obtained using the analytical solution. The numerical study and the wind tunnel experiment results are in good agreement. The results show that the evolution pattern of flutter derivatives determines the accuracy of the direct identification of RFA.

극소공기막을 갖는 공기윤활 슬라이더 베어링의 윤활해석에 관한 연구

  • Hwang, Pyung;Yang, Seung-Han
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1996.04b
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    • pp.94-98
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    • 1996
  • The static characteristics of air-lubricated slider bearing were performed using direct numerical method. The equations of motion of slider bearing are solved simultaneously with the Reynolds equation for three degrees of freedom. The molecular rarefaction effect is considered. The models implemented include the first-order slip, the second-order slip, and the Boltzmann equation model derived by Fukui and Kaneko(FK model)

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