• Title/Summary/Keyword: Inverse Method

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Calculation of Heat Transfer Coefficients by Steady State Inverse Heat Conduction (정상상태의 열전달계수 예측을 위한 최적화기법의 열전도 역문제에 관한 연구)

  • 조종래;배원병;이부윤
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.5
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    • pp.549-556
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    • 1997
  • The inverse heat conduction problems is the calculation of surface heat transfer coefficients by utilizing measured temperature. The numerical technique of finite element analysis and optimizition is introduced to calculate temperatures and heat transfer coefficients. The calculated heat transfer coefficients and temperature distribution are good agreement with the results of direct analysis. The inverse method has been applied to the control valve of nuclear power plant.

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INVERSE SHADOWING PROPERTY OF MORSE-SMALE SYSTEMS

  • Choi, Taeyoung;Lee, Keonhee
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.1
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    • pp.61-73
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    • 2002
  • We consider the inverse shadowing property of a dynamical system which is an "inverse" form of the shadowing property of the system. In particular, we show that every Morse-Smale system f on a compact smooth manifold has the inverse shadowing property with respect to the class $\mathcal{T}_h(f)$ of continuous methods generated by homeomorphisms, but the system f does not have the inverse\mathrm{T} shadowing property with respect to the class $\mathcal{T}_c(f)$ of continuous methods.

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Comparison of Regularization Techniques For an Inverse Radiation Boundary Analysis (역복사경계해석을 위한 다양한 조정기법 비교)

  • Kim, Ki-Wan;Baek, Seung-Wook
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1288-1293
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    • 2004
  • Inverse radiation problems are solved for estimating the boundary conditions such as temperature distribution and wall emissivity in axisymmetric absorbing, emitting and scattering medium, given the measured incident radiative heat fluxes. Various regularization methods, such as hybrid genetic algorithm, conjugate-gradient method and Newton method, were adopted to solve the inverse problem, while discussing their features in terms of estimation accuracy and computational efficiency. Additionally, we propose a new combined approach of adopting the genetic algorithm as an initial value selector, whereas using the conjugate-gradient method and Newton method to reduce their dependence on the initial value.

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Optimization Inverse Design Technique for Fluid Machinery Impellers (유체기계 임펠러의 최적 역설계 기법)

  • Kim J. S.;Park W. G.
    • Journal of computational fluids engineering
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    • v.3 no.1
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    • pp.37-45
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    • 1998
  • A new and efficient inverse design method based on the numerical optimization technique has been developed. The 2-D incompressible Navier-Stokes equations are solved for obtaining the objective functions and coupled with the optimization procedure to perform the inverse design. The steepest descent and the conjugate gradient method have been applied to find the searching direction. The golden section method was applied to compute the design variable intervals. It has been found that the airfoil and the pump impellers are well converged to their targeting shapes.

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Solving a Nonlinear Inverse Convection Problem Using the Sequential Gradient Method

  • Lee, Woo-Il;Lee, Joon-Sik
    • Journal of Mechanical Science and Technology
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    • v.16 no.5
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    • pp.710-719
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    • 2002
  • This study investigates a nonlinear inverse convection problem for a laminar-forced convective flow between two parallel plates. The upper plate is exposed to unknown heat flux while the lower plate is insulated. The unknown heat flux is determined using temperature measured on the lower plate. The thermophysical properties of the fluid are temperature dependent, which renders the problem nonlinear. The sequential gradient method is applied to this nonlinear inverse problem in order to solve the problem efficiently. The function specification method is incorporated to stabilize the sequential estimation. The corresponding adjoint formalism is provided. Accuracy and stability have been examined for the proposed method with test cases. The tendency of deterministic error is investigated for several parameters. Stable solutions are achieved eve]1 with severely impaired measurement data.

The Inverse Design Technique of Axial Blade Using the Parallel Calculation (병렬 연산을 이용한 축류 블레이드의 역설계)

  • Cho, J. K.;Ahn, J. S.;Park, W. G.
    • 유체기계공업학회:학술대회논문집
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    • 1999.12a
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    • pp.200-207
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    • 1999
  • An efficient inverse design technique based on the MGM (Modified Garabedian-McFadden) method has been developed. The 2-D Navier-Stokes equations are solved for obtaining the surface pressure distributions and coupled with the MGM method to perform the inverse design. The solver is parallelized by using the domain decomposition method and the standard MPI library for communications between the processors. The MGM method is a residual-correction technique, in which the residuals are the difference between the desired and the computed pressure distribution. The developed code was applied to several airfoil shapes and the axial blade. It has been found that they are well converged to their target pressure distribution.

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AN ITERATIVE DISTRIBUTED SOURCE METHOD FOR THE DIVERGENCE OF SOURCE CURRENT IN EEG INVERSE PROBLEM

  • Choi, Jong-Ho;Lee, Chnag-Ock;Jung, Hyun-Kyo
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.3
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    • pp.191-199
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    • 2008
  • This paper proposes a new method for the inverse problem of the three-dimensional reconstruction of the electrical activity of the brain from electroencephalography (EEG). Compared to conventional direct methods using additional parameters, the proposed approach solves the EEG inverse problem iteratively without any parameter. We describe the Lagrangian corresponding to the minimization problem and suggest the numerical inverse algorithm. The restriction of influence space and the lead field matrix reduce the computational cost in this approach. The reconstructed divergence of primary current converges to a reasonable distribution for three dimensional sphere head model.

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Inverse Finite Element Analysis of Autobody Structures with a Direct Mesh Mapping Method for Crash Analysis Considering Forming Effets (직접격자 사상법을 이용한 차체 구조물의 유한요소 역해석 및 성형효과를 고려한 충돌해석)

  • Kim, S.H.;Huh, H.
    • Transactions of Materials Processing
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    • v.11 no.5
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    • pp.457-464
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    • 2002
  • A finite element inverse analysis is utilized to consider forming effects of an S-rail on the assessment of the crashworthiness with small amount of computation time. A crash analysis can be directly performed after the inverse simulation of a forming process without a smoothing or remeshing scheme. The direct mesh mapping method is used to calculate an initial guess from a sliding constraint surface that is extracted from the die and punch set. Analysis results demonstrate that energy absorption of structures is increased when simulation considers forming effects of thickness variation and work hardening. The finite element inverse analysis is proved to be an effective tool in consideration of forming effects for the crash analysis.

Circulation in the Southwestern East Sea (Japan Sea) in July 1993 Determined by an Inverse Method

  • Shin, Chang-Woong;Byun, Sang-Kyung;Kim, Cheol-Soo;Seung, Young-Ho;Lee, Jae-Hak
    • Ocean and Polar Research
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    • v.21 no.2
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    • pp.87-97
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    • 1999
  • To estimate absolute transports by advection in the southwestern East Sea (Japan Sea), an inverse method was applied to CTD data obtained in July 1993. The relative velocities are calculated using the thermal wind equation. The inverse model was formulated to obtain a reference velocity based on the mass conservation in each of four vertical layers within a region enclosed by hydrographic sections and the coastal boundary. The flow patterns in the surface layer are clockwise and anti-clockwise in the regions south and northwest of Ulleung Island, respectively, and a strong northward flow appears in between them. In the second layer, the flow fields are generally weak. The inverse calculation yields the southward flow along the coast, and this suggests that the subsurface low salinity water in the Ulleung Basin is supplied by the southward transport along the east coast of Korea.

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Inverse Dynamic Analysis of Mechanical Systems Using the Velocity Transformation Technique (속도변환기법을 이용한 기계시스템의 역동학적 해석)

  • Lee, Byeong-Hun;Yang, Jin-Saeng;Jeon, U-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.12
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    • pp.3741-3747
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    • 1996
  • This paper presents a method for the inverse dynamic anlaysis of mechanical systems. Actuating forces(or torques) depending on the driving constraints are analyzed in the relative coordinate space using the velocity transformation technique. A systematic method to compose the inverse velocity transformation matrix, which is used to determine the joint reaction forces, is proposed. Two examples are taken to verify the method developed here.