• Title/Summary/Keyword: Multi-dimensional Approach

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Three Dimensional Multi-step Inverse Analysis for Optimum Blank Design in Sheet Metal Forming (박판금속성형의 최적 블랭크 설계를 위한 삼차원 다단계 역해석)

  • Lee, Choong-Ho;Huh, Hoon
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.03a
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    • pp.179-182
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    • 1997
  • One-step inverse methods based on deformation theory causes some amount of error. The amount of error is generally increased as the deformation path is more complex. As a remedy, a new three dimensional multi-step inverse method is introduced for optimum design of blank shapes and strain distributions from desired final shapes. The approach extends a one-step inverse method to a multi-step inverse method in order to reduce the amount of error. The algorithm developed is applied to square cup drawing to confirm its validity by demonstrating reasonably accurate numerical results.

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Wave Exciting Forces on Multiple Floating Bodies of Semisubmersible Type in Multi-directional Irregular Waves (다방향 불규칙파중에서의 반잠수식 부체군에 작용하는 파강제력)

  • 조효제;구자삼;김경태
    • Journal of Ocean Engineering and Technology
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    • v.11 no.4
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    • pp.76-89
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    • 1997
  • The hydrodynamic interaction characteristics between multiple floating bodies of semisubmersible type are examined to present the basic data for the design of huge offshore structures supported by a large number of the floating bodies in multi-directional irregular waves. The numerical approach is based on a combination of a three-dimensional source distribution method, the wave interaction theory and the spectral analysis method. The effects of wave directionality on the wave exciting forces acting on multiple floating bodies in multi-directional irregular waves also have been pointed out.

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A Fractal Based Approach for Multi Level Abstraction of Three Dimensional Terrain (프랙탈 기법을 이용한 3차원 지형의 다중 추상화)

  • Park, Mee-Jeong;Lee, Jeong-Jae
    • Journal of Korean Society of Rural Planning
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    • v.11 no.1 s.26
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    • pp.9-15
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    • 2005
  • Preservation of geometrical context of terrains in a digitized format is useful in handling and making modification to the data. Digitization of three-dimensional terrain still proves a great challenge due to heavy load of context required to retain details of topological and geometrical information. Methods of simplification, restoration and multi-level terrain generation are often employed to transform the original data into a compressed digital format. However, reduction of the stored data size comes at an expense of loss of details in the original data set. This article reports on an alternative scheme for simplification and restoration of terrain data. The algorithm utilizes the fact that the terrain formation and patterns can be predicted and modeled through the fractal algorithm. This method was used to generate multi-level terrain model based on NGIS digital maps with preserving geometrical context of terrains.

Time Domain Analysis of a Tension Leg Platform in Multi-Directional Irregular Waves (다방향 불규칙파중의 인장계류식 해양구조물의 시간영역 해석)

  • Lee, Chang-Ho;Kim, Chuel-Hyun
    • Journal of Ocean Engineering and Technology
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    • v.20 no.5 s.72
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    • pp.36-41
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    • 2006
  • The main object of this study is to develop an accurate and convenient method for the response analysis of offshore structures in real sea states. A numerical procedure is described for predicting the motion responses and tension variations of the ISSC TLP in multi-directional irregular waves. The developed numerical approach in the frequency domain is based on acombination of the three dimensional source distribution method, the dynamic response analysis method, and the spectral analysis method. Frequency domain analysis in the multi-directional irregular waves is expanded to a time domain analysis by using a convolution integral after obtaining the impulse response by Fourier transformation. The results of the comparison between responses in the frequency and time domain confirmed the validity of the proposed approach.

Large Eddy Simulation of Turbulent Premixed Flame in a Swirled Combustor Using Multi-environment Probability Density Function approach (MEPDF를 이용한 와류 연소실 내부 예혼합 화염의 대 와동 모사)

  • Kim, Namsu;Kim, Yongmo
    • Journal of the Korean Society of Combustion
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    • v.22 no.3
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    • pp.29-34
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    • 2017
  • The multi-environment probability density function model has been applied to simulate a turbulent premixed flame in a swirl combustor. To realistically account for the unsteady flow motion inside the combustor, the formulations are derived for the large eddy simulation. The Flamelet generated manifolds is utilized to simplify a multi-dimensional composition space with reasonable accuracy. The sub grid scale mixing is modeled by the interaction by exchange with the mean mixing model. To validate the present approach, the simulation results are compared with experimental data in terms of mean velocity, temperature, and species mass fractions.

Topology optimization of variable thickness Reissner-Mindlin plate using multiple in-plane bi-directional functionally graded materials

  • Nam G. Luu;Thanh T. Banh;Dongkyu Lee
    • Steel and Composite Structures
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    • v.48 no.5
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    • pp.583-597
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    • 2023
  • This paper introduces a novel approach to multi-material topology optimization (MTO) targeting in-plane bi-directional functionally graded (IBFG) non-uniform thickness Reissner-Mindlin plates, employing an alternative active phase approach. The mathematical formulation integrates a first shear deformation theory (FSDT) to address compliance minimization as the objective function. Through an alternating active-phase algorithm in conjunction with the block Gauss-Seidel method, the study transforms a multi-phase topology optimization challenge with multi-volume fraction constraints into multiple binary phase sub-problems, each with a single volume fraction constraint. The investigation focuses on IBFG materials that incorporate adequate local bulk and shear moduli to enhance the precision of material interactions. Furthermore, the well-established mixed interpolation of tensorial components 4-node elements (MITC4) is harnessed to tackle shear-locking issues inherent in thin plate models. The study meticulously presents detailed mathematical formulations for IBFG plates in the MTO framework, underscored by numerous numerical examples demonstrating the method's efficiency and reliability.

One-dimensional Topology Optimization for Transmission Loss Maximization of Multi-layered Acoustic Foams (전달손실 최대화를 위한 공기-흡음재 배열 최적설계)

  • Lee, Joong-Seok;Kim, Yoon-Young;Kim, Jung-Soo;Kang, Yeon-June;Kim, Eun-Il
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.938-941
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    • 2006
  • We present a new design method of one-dimensional multi-layered acoustic foams for transmission loss maximization by topology optimization. Multi-layered acoustic foam sequences consisting of acoustic air layers and poroelastic material layers are designed for target frequency values. For successful topology optimization design of multi-layered acoustic foams, the material interpolation concept of topology optimization is adopted. In doing so, an acoustic air layer is modeled as a limiting poroelastic material layer; acoustic air and poroelastic material are handled by a single set of governing equations based on Biot's theory. For efficient analysis of a specific multi-layered foam appearing during optimization, we do not solve the differential equations directly, but we use an efficient transfer matrix approach which can be derived from Biot's theory. Through some numerical case studies, the proposed design method for finding optimal multi-layer sequencing is validated.

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COMPONENT AND SYSTEM MULTI-SCALE DIRECT-COUPLED CODE IMPLEMENTATION USING CUPID AND MARS CODES (CUPID 코드와 MARS 코드를 이용한 기기/계통 다중스케일 연계 해석 코드 구현)

  • Park, I.K.
    • Journal of computational fluids engineering
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    • v.21 no.3
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    • pp.89-97
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    • 2016
  • In this study, direct code coupling, in which two codes share a single flow field, was conducted using 3-dimensional high resolution thermal hydraulics code, CUPID and 1-dimensional system analysis code, MARS. This approach provide the merit to use versatile capability of MARS for nuclear power plants and 3-dimensional T/H analysis capability of CUPID. Numerical Method to directly couple CUPID and MARS was described in this paper. The straight flow and manometer flow oscillation were calculated to verify conservation of coupled CUPID/MARS code in mass, momentum, and energy. This verification calculations indicates that the CUPID/MARS is coupled appropriately in numerical aspect and the coupled code can be applied to nuclear reactor thermal hydraulics after validation against integral transient experiments.

A computational approach to the simulation of controlled flows by synthetic jets actuators

  • Ferlauto, Michele;Marsilio, Roberto
    • Advances in aircraft and spacecraft science
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    • v.2 no.1
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    • pp.77-94
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    • 2015
  • The paper focuses on the integration of a non-linear one-dimensional model of Synthetic Jet (SJ) actuator in a well-assessed numerical simulation method for turbulent compressible flows. The computational approach is intended to the implementation of a numerical tool suited for flow control simulations with affordable CPU resources. A strong compromise is sought between the use of boundary conditions or zero-dimensional models and the full simulation of the actuator cavity, in view of long-term simulation with multiple synthetic jet actuators. The model is integrated in a multi-domain numerical procedure where the controlled flow field is simulated by a standard CFD method for compressible RANS equations, while flow inside the actuator is reduced to a one-dimensional duct flow with a moving piston. The non-linear matching between the two systems, which ensures conservation of the mass, momentum and energy is explained. The numerical method is successfully tested against three typical test cases: the jet in quiescent air, the SJ in cross flow and the flow control on the NACA0015 airfoil.

Reactor core analysis through the SP3-ACMFD approach. Part I: Static solution

  • Mirzaee, Morteza Khosravi;Zolfaghari, A.;Minuchehr, A.
    • Nuclear Engineering and Technology
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    • v.52 no.2
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    • pp.223-229
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    • 2020
  • The present work proposes a solution to the static Boltzmann transport equation approximated by the simplified P3 (SP3) on angular, and the analytic coarse mesh finite difference (ACMFD) for spatial variables. Multi-group SP3-ACMFD equations in 3D rectangular geometry are solved using the GMRES solution technique. As the core time dependent analysis necessitates the solution of an eigenvalue problem for an initial condition, this work is hence devoted to development and verification of the proposed static SP3-ACMFD solver. A 3D multi-group static diffusion solver is also developed as a byproduct of this work to assess the improvement achieved using the SP3 technique. Static results are then compared against transport benchmarks to assess the proximity of SP3-ACMFD solutions to their full transport peers. Results prove that the approach can be considered as an acceptable interim approximation with outputs superior to the diffusion method, close to the transport results, and with the computational costs less than the full transport approach. The work would be further generalized to time dependent solutions in Part II.