• Title/Summary/Keyword: Constraint equation

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Computation of Supersonic Ramp Flow with V2F Turbulence Mode (V2F 난류모형을 이용한 초음속 램프유동의 해석)

  • Park C. H.;Park S. O.
    • Journal of computational fluids engineering
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    • v.8 no.2
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    • pp.1-7
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    • 2003
  • The V2F turbulence model, which has shown very good performance in several test cases at low speeds, has been applied to supersonic ramp flow with 20. corner angle at the free stream Mach number of 2.79. The flow is known to manifest strong shock wave/turbulent boundary layer interactions. As a comparative study, low-Reynolds k-ε models are also considered. While the V2F model predicts wall-pressure distribution well, it relatively predicts larger separation bubble and higher skin-friction after the reattachment than the experimental data. Although the ellpticity of f equation is the characteristics of incompressible flows, the converged solutions are acquired in the compressible flow with shock waves. The effect of the realizability constraints used in the model is also examined. In contrast to the result of impinging jet flows, the realizability bounds proposed by Durbin deterioate the overall solutions of the supersonic ramp flow.

An Incompressible Flow Computation by a Hierarchical Iterative Preconditioning (계층적 반복의 예조건화에 의한 비압축성 유동 계산)

  • KIM JIN WHAN;JEONG CHANG-RYUL
    • Journal of Ocean Engineering and Technology
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    • v.17 no.5 s.54
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    • pp.11-18
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    • 2003
  • In two-dimensional incompressible flows, a preconditioning technique called Hierarchical Iterative Procedure (HIP) has been implemented on a SUPG finite element formulation. By using the SUPG formulation, one can escape from the LBB constraint hence, achieving an equal order formulation. In this paper, we increased the order of interpolation up to cubic. The conjugate gradient squared (CGS) method is used for the outer iteration, and the HIP for the preconditioning for the incompressible Navier-Stokes equation. The hierarchical elements have been used to achieve a higher order accuracy in fluid flow analyses, but a proper and efficient iterative procedure for higher order finite element formulation has not been available, thus far. The numerical results by the present HIP for the lid driven cavity flow showed the present procedure to be stable, very efficient, and useful in flow analyses, in conjunction with hierarchical elements.

Development of Algorithm for Two Dimensional Automatic Mesh Generation and Remeshing Technique Using Bubble Packing Method (II) - Nonlinear Analysis - (버블패킹방법을 이용한 2차원 자동격자 생성 및 재구성 알고리듬 개발 (II) -비선형 해석-)

  • Jeong, Sun-Wan;Kim, Seung-Jo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.12
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    • pp.1926-1932
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    • 2001
  • In this second part of the paper, the automatic mesh generation and remeshing algorithm using bubble packing method is applied to the nonlinear problem. The remeshing/refinement procedure is necessary in the large deformation process especially because the mesh distortion deteriorates the convergence and accuracy. To perform the nonliear analysis, the transfer of state variables such as displacement and strain is added to the algorithm of Part 1. The equilibrium equation based on total Lagrangian formulation and elasto-viscoplastic model is used. For the numerical experiment, the upsetting process including the contact constraint condition is analyzed by two refinement criteria. And from the result, it is addressed that the present algorithm can generate the refined meshes easily at the largely deformed area with high error.

ELASTOKINEMATIC ANALYSIS OF A SUSPENSION SYSTEM WITH LINEAR RECURSIVE FORMULA

  • KANG J. S.
    • International Journal of Automotive Technology
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    • v.6 no.4
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    • pp.375-381
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    • 2005
  • This paper presents linear algebraic equations in the form of recursive formula to compute elastokinematic characteristics of a suspension system. Conventional methods of elastokinematic analysis are based on nonlinear kinematic constrant equations and force equilibrium equations for constrained mechanical systems, which require complicated and time-consuming implicit computing methods to obtain the solution. The proposed linearized elastokinematic equations in the form of recursive formula are derived based on the assumption that the displacements of elastokinematic behavior of a constrained mechanical system under external forces are very small. The equations can be easily computerized in codes, and have the advantage of sharing the input data of existing general multi body dynamic analysis codes. The equations can be applied to any form of suspension once the type of kinematic joints and elastic components are identified. The validity of the method has been proved through the comparison of the results from established elastokinematic analysis software. Error estimation and analysis due to piecewise linear assumption are also discussed.

Optimum Design of the Process Parameter in Sheet Metal Forming with Design Sensitivity Analysis using the Direct Differentiation Approach (II) -Optimum Process Design- (직접미분 설계민감도 해석을 이용한 박판금속성형 공정변수 최적화 (II) -공정 변수 최적화-)

  • Kim, Se-Ho;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.11
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    • pp.2262-2269
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    • 2002
  • Process optimization is carried out to determine process parameters which satisfy the given design requirement and constraint conditions in sheet metal forming processes. Sensitivity -based-approach is utilized for the optimum searching of process parameters in sheet metal forming precesses. The scheme incorporates an elasto-plastic finite element method with shell elements . Sensitivities of state variables are calculated from the direct differentiation of the governing equation for the finite element analysis. The algorithm developed is applied to design of the variablc blank holding force in deep drawing processes. Results show that determination of process parameters is well performed to control the major strain for preventing fracture by tearing or to decrease the amount of springback for improving the shape accuracy. Results demonstrate that design of process parameters with the present approach is applicable to real sheet metal forming processes.

Elastic Analysis of Cold Extrusion Die Set with Stress Ring (보강링을 갖는 냉간 압출 금형 세트의 탄성해석)

  • 안성찬;이근안;김수영;임용택
    • Transactions of Materials Processing
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    • v.11 no.4
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    • pp.355-362
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    • 2002
  • In this study, an axi-symmetric finite element program for elastic analysis of the die set shrink fitted in cold extrusion was developed. The geometrical constraint according to shrink fit was enforced by employing the Lagrange multiplier method. The numerical results for strain and stress distributions in the die set including single and multi stress rings assembled by shrink fit were compared well with the Lame's equation for thick-walled solution available in the literature. To extend the applicability of the analysis program developed, various cases without or with stress ring and with pre-stress applied on stress ring were numerically investigated as well. This numerical approach enables the optimization study to determine optimal dimensions of die set to improve tool life for practical use in industry.

Design of LQR Controller of DSIATCOM for Compensating Voltage Sag Using PSCAD/EMTDC (PSCAD/EMTDC를 이용한 전압 Sag 보상을 위한 배전용 정지형 보상기의 LQR 제어기 설계)

  • 이명언;정수영;최규하
    • Journal of Energy Engineering
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    • v.13 no.1
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    • pp.68-74
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    • 2004
  • This paper presents the design of DSTATCOM (Distribution Static Synchronous Compensator) controller. The results are verified by using PSCAD/EMTDC package. The state equation derived by decomposition analysis of DSTATCOM current component is applied to load model and the combined model which considered constraint condition. In case of single line to ground fault, the conventional method of Pl control is compared with LQR control technique. LQR control is shown to be superior in terms of response profile and composition of voltage sag.

An Incompressible Flow Computation by a Hierarchical Iterative Preconditioning (계층적 반복의 예조건화에 의한 비압축성 유동 계산)

  • Kim J. W.;Jeong C. R.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.91-98
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    • 2004
  • In two dimensional incompressible flows, a preconditioning technique called Hierarchical Iterative Procedure(HIP) has been implemented on a stabilized finite element formulation. The stabilization has been peformed by a modified residual method proposed by Illinca et. al.[3]. The stabilization which is necessary to escape from the LBB constraint renders an equal order formulation. In this paper, we increased the order of interpolation whithin an element up to cubic. The conjugate gradient squared(CGS) method is used for the outer iteration, and the HIP for the preconditioning for the incompressible Navier-Stokes equation. The hierarchical elements has been used to achieve a higher order accuracy in fluid flow analyses, but a proper efficient iterative procedure for higher order finite element formulation has not been available so far. The numerical results by the present HIP for the lid driven cavity flow showed the present procedure to be stable, very efficient and useful in flow analyses in conjunction with hierarchical elements.

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Restoration of Color-Quantized Images (색상 양자화된 영상의 복원)

  • Kim, Tae-Hoon;Choi, Min-Gyu;Ahn, Jong-Woo
    • Journal of the Korea Computer Graphics Society
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    • v.12 no.2
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    • pp.13-18
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    • 2006
  • Color quantization replaces the color of each pixel with the closest representative color, and thus it makes the resulting image partitioned into uniformly-colored regions. As a consequence, continuous, detailed variations of color over the corresponding regions in the original image are lost through color quantization. In this paper, we present a novel scheme for restoring such variations from a color-quantized input image. Our scheme identifies which pairs of uniformly-colored regions in the input image should have continuous variations of color in the resulting image. Then, such regions are seamlessly stitched using the Laplace equation. The user can optionally indicate which regions should be separated or stitched by scribbling constraint brushes across the regions. We demonstrate the effectiveness of our approach through diverse examples, such as photographs, cartoons, and artistic illustrations.

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Image Restoration Using Partial Differential Equation (편미분 방정식을 이용한 이미지 복원)

  • Joo, Ki-See
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.12
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    • pp.2271-2282
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    • 2006
  • This paper is concerned with simulation issues arising in the PDE-based image restoration such as the total variation minimization(TVM) and its generalizations. In particular, we study the issues of staircasing and excessive dissipation of TVM-like smoothing operators. A strategy of scaling the algebraic system and a non-convex minimization are considered respectively for anti-staircasing and anti-diffusion. Furthermore, we introduce a variable constraint parameter to better preserve image edges. The resulting algorithm has been numerically verified to be efficient and reliable in denoising. Various numerical results are shown to confirm the claim.