• Title/Summary/Keyword: Lagrangian Dynamic Model

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Large eddy simulation of turbulent flow around a wall-mounted cubic obstacle in a channel using Lagrangian dynamic SGS model (Lagrangian Dynamic Sub-grid Scale 모델에 의한 평행평판내 입방체 장애물 주위 유동에 관한 대 와동 모사)

  • Ko, Sang-Cheol;Park, Nam-Seob
    • Journal of Advanced Marine Engineering and Technology
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    • v.30 no.3
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    • pp.369-375
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    • 2006
  • Large eddy simulation has been applied to simulate turbulent flow around a cubic obstacle mounted on a channel surface for a Reynolds number of 40000(based on the incoming bulk velocity and the obstacle height) using a Smagorinsky model and a Lagrangian dynamic model. In order to develop the LES to the practical engineering application, the effect of upwind scheme, turbulent sub-grid scale model were investigated. The computed velocities. turbulence quantifies, separation and reattachment length were evaluated by compared with the previous experimental results.

A Dynamic Model for the Pollutant Transport Analysis in a River (하천으로 유입된 오염물의 유동해석을 위한 동력학적 모형의 개발)

  • Han, Kun-Yeun;Kim, Gwang-Seob;Park, Jae-Hong
    • Water for future
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    • v.27 no.4
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    • pp.145-154
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    • 1994
  • A dynamic model for the pollutant transport analysis in a river is developed by preissmann scheme and lagrangian method considering tidal effects. A generalized Lagranian model alleviate the numerical difficulties associated with the use of the Eulerian reference frame. Comparing the finite difference and finite element solutions of one-dimensional transport equation, Lagrangian model shows the most stable and accurate results. The flow model is calibrated using the recorded flood data in the downstream of the Han River. The particle paths-of-travel is computed by the model for the various low flow conditions. The model will provide operational informations useful for water quality management in the downstream of the Han River.

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A study on the dynamic modeling of driving system of a heavy industrial vehicle (중장비 구동체계의 제어용 동적 모델에 관한 연구)

  • 홍성욱;강민식;이종원;김광준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.222-233
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    • 1987
  • A dynamic modeling procedure for developing a control model of the driving system of a heavy industrial vehicle is presented. The dynamic model is derived by applying generalized Lagrangian equations to each component of the system and imposing kinematic relations between components as constraints. In order to obtain the control model, a few assumptions are made for the simplification of the nonlinear and complicated model, which is justified by the comparison of the simulation results of the original full nonlinear model and the simplified control model.

Numerical investigation of turbulent lid-driven flow using weakly compressible smoothed particle hydrodynamics CFD code with standard and dynamic LES models

  • Tae Soo Choi;Eung Soo Kim
    • Nuclear Engineering and Technology
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    • v.55 no.9
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    • pp.3367-3382
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    • 2023
  • Smoothed Particle Hydrodynamics (SPH) is a Lagrangian computational fluid dynamics method that has been widely used in the analysis of physical phenomena characterized by large deformation or multi-phase flow analysis, including free surface. Despite the recent implementation of eddy-viscosity models in SPH methodology, sophisticated turbulent analysis using Lagrangian methodology has been limited due to the lack of computational performance and numerical consistency. In this study, we implement the standard and dynamic Smagorinsky model and dynamic Vreman model as sub-particle scale models based on a weakly compressible SPH solver. The large eddy simulation method is numerically identical to the spatial discretization method of smoothed particle dynamics, enabling the intuitive implementation of the turbulence model. Furthermore, there is no additional filtering process required for physical variables since the sub-grid scale filtering is inherently processed in the kernel interpolation. We simulate lid-driven flow under transition and turbulent conditions as a benchmark. The simulation results show that the dynamic Vreman model produces consistent results with experimental and numerical research regarding Reynolds averaged physical quantities and flow structure. Spectral analysis also confirms that it is possible to analyze turbulent eddies with a smaller length scale using the dynamic Vreman model with the same particle size.

Numerical Analysis of Nonlinear Shoaling Characteristics over Surf Zone Using SPH and Lagrangian Dynamic Smagronsky Model (Lagrangian Dynamic Smagronsky 난류모형과 SPH를 이용한 쇄파역에서의 비선형 천수거동에 관한 연구)

  • Cho, Yong-Jun;Lee, Heon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.1
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    • pp.81-96
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    • 2007
  • Nonlinear shoaling characteristics over surf zone are numerically investigated based on spatially averaged NavierStokes equation. We also test the validity of gradient model for turbulent stresses due to wave breaking using the data acquainted during SUPERTANK LABORATORY DATA COLLECTION PROJECT(Krauss et al., 1992). It turns out that the characteristics length scale of breaking induced current is not negligible, which firmly stands against ever popular gradient model, ${\kappa}-{\varepsilon}$ model, but favors Large Eddy Simulation with finer grid. Based on these observations, we model the residual stress of spatially averaged NavierStokes equation after Lagrangian Dynamic Smagorinsky(Meneveau et al., 1996). We numerically integrate newly proposed wave equations using SPH with Gaussian kernel function. Severely deformed water surface profile, free falling water particle, queuing splash after landing of water particle on the free surface and wave finger due to structured vortex on rear side of wave crest(Narayanaswamy and Dalrymple, 2002) are successfully duplicated in the numerical simulation of wave propagation over uniform slope beach, which so far have been regarded very difficult features to mimic in the computational fluid mechanics.

Modeling of flexible stick balencer and controller design (Flexible stick balencer에 대한 modeling과 제어에 관한 연구)

  • Seo, Ki-Won;Cho, Hwang
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.233-236
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    • 1996
  • This paper describes a liner state-space model for a flexible stick balencer. The method employed to generate the model utilizes a separable formulation of assumed modes to represents the transverse displacement due to bending Lagrangian dynamics are applied to determine the kinetic and potential energies for the system. The resultant dynamic equations are then organized into a state space model and linearized using Taylor series expansion method. A minimum order observer is designed to estimate unmeasurable states.

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Blast Analysis of Concrete Structure using Arbitrary Lagrangian-Eulerian Technique (Arbitrary Lagrangian-Eulerian기법을 적용한 콘크리트 구조물의 폭발해석)

  • Yi, Na-Hyun;Kim, Sung-Bae;Nam, Jin-Won;Lee, Sung-Tae;Kim, Jang-Ho
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.269-272
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    • 2008
  • Blast load, an impulsive load with extremely short time duration with very high pressure, is effected by ground and air condition, weight of charge, shape and location of structure. In this study, a blast dynamic analysis for the air-structural integrated model considering dynamic properties of materials and simulation of complex blast wave propagation by Arbitrary Lagrangian- Eulerian technique is suggested to perform an accurate blast analysis of concrete structures. For the verification of the proposed blast analysis method, which is the air-structure integrated model using ALE technique, the comparison of analysis and experimental results is performed. The verification confirms that the simulation of realistic behavior of RC wall structures is possible using ALE method. Also, the example cases which have been analyzed using this method show that the estimation to the structural failure criterion for blast load failure can be represented by energy absorbtion procedure.

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AN APPLICATION OF LAGRANGIAN RELAXATION ALD SUBGRADIENT METHOD FOR A DYNAMIC UNCAPAITATED FACILITY COCATION PROBLEM

  • Song, Jae-Wook;Kim, Sheung-Kown
    • Journal of the Korean Operations Research and Management Science Society
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    • v.13 no.2
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    • pp.47-58
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    • 1988
  • The dynamic uncapacitated facility location model is formulated by a mixed integer programming. It has the objective of minimizing total discounted costs for meeting demands specified in different time periods at various demand centers. Costs include those for operation of facilities to demand centers and a fixed cost associated with the capital investment. The problem is decomposed into two simple Lagrangian relaxed subproblems which are coordinated by Lagrangian multipliers. We explored the effect of using the subgradient optimization procedure and a viable solution approach is proposed. Computational results are presented and further research directions are discussed.

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Dynamics of high-speed train in crosswinds based on an air-train-track interaction model

  • Zhai, Wanming;Yang, Jizhong;Li, Zhen;Han, Haiyan
    • Wind and Structures
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    • v.20 no.2
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    • pp.143-168
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    • 2015
  • A numerical model for analyzing air-train-track interaction is proposed to investigate the dynamic behavior of a high-speed train running on a track in crosswinds. The model is composed of a train-track interaction model and a train-air interaction model. The train-track interaction model is built on the basis of the vehicle-track coupled dynamics theory. The train-air interaction model is developed based on the train aerodynamics, in which the Arbitrary Lagrangian-Eulerian (ALE) method is employed to deal with the dynamic boundary between the train and the air. Based on the air-train-track model, characteristics of flow structure around a high-speed train are described and the dynamic behavior of the high-speed train running on track in crosswinds is investigated. Results show that the dynamic indices of the head car are larger than those of other cars in crosswinds. From the viewpoint of dynamic safety evaluation, the running safety of the train in crosswinds is basically controlled by the head car. Compared with the generally used assessment indices of running safety such as the derailment coefficient and the wheel-load reduction ratio, the overturning coefficient will overestimate the running safety of a train on a track under crosswind condition. It is suggested to use the wheel-load reduction ratio and the lateral wheel-rail force as the dominant safety assessment indices when high-speed trains run in crosswinds.

Vessel Collision Analysis of an Underwater Slope using Coupled Eulerian-Lagrangian Scheme 1: Development of Analysis Model (Coupled Eulerian-Lagrangian 기법을 이용한 선박의 수중사면 충돌해석 1 : 해석모델의 개발)

  • Lee, Gyehee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.1
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    • pp.17-23
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    • 2020
  • In this study, the behaviors of a vessel and the ground during the vessel impacting an underwater slope that is part of an artificial protective island are analyzed using the coupled Eulerian-Lagrangian scheme. To consider the large deformation including the shear failure of soil, the Eulerian domain is used to model the ground and water, while the impacting objects are modeled as the Lagrangian domain. For efficiency, the mass scaling scheme is applied to the modeling of the impacting objects, and the ground is modeled by setting the Eulerian volume fraction values. To verify the applicability of the constructed model, a dynamic penetration anchor problem is analyzed. The impacting vessel is modeled using solid elements following the external shape of a container ship, and an analysis of a collision on the slope is performed. As a result, collision behaviors such as displacement, velocity, and dissipation energy are estimated, and the necessity of a parametric study as further research is established.