• Title/Summary/Keyword: Lagrangian concept

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Suspended Solid Dispersion Analysis for Coastal Areas Using Hybrid Concept of Particle and Concentration of Eulerian-Lagrangian Model (Eulerian-Lagrangian 농도 및 입자 결합모형에 의한 연안의 부유사 확산해석)

  • 서승원
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.2
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    • pp.185-192
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    • 1996
  • In order to simulate the coastal dispersion effectively, hybrid concept of operator split Eulerian-lagrangian concentration model and random-walk particle tracking model are developed. Especially the random-walk model is adequate for region with steep slope of concentration. According to model tests, it agrees perfectly with analytical solution on around the source point for therefore. ▽C $\geq$ 0.005, meanwhile it shows poor results for ▽C$\leq$0.002. trial modeling for real situation therefore, random-walk model is applied for near field henceforth Eulerian-Lagrangian concentration model is adoped for whole domain so that overall performance and accuracy can be achieved by using developed hybrid model.

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Comparative Analysis of the Sediment Transport Region based on the Lagrangian Concept (Lagrangian 개념에 의한 부유토사 확산범위 비교분석)

  • Cho, Hong-Yeon;Kim, Chang-Il;Lee, Khil-Ha
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.2
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    • pp.105-112
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    • 2007
  • Sediment transport model based on the Lagrangian concept considering the grain size distribution(GSD) was setup and the change of the sediment diffusion range was analysed in the condition of considering and not considering the GSD. The GSD curve is assumed as the Log-normal distribution function in order to consider the GSD with respect to the Lagrangian concept and the random numbers, i.e. sediment particles, are generated based on the distribution function. The sediment particles is assumed as the spherical type and the random numbers based on the sediment weight is converted to the sediment diameters. Sediment transport patterns are analysed by the settling simulation, in which the settling velocity is computed by the van Rijn formulae and the horizontal diffusion coefficient is used as the constant parameter. The diffusion patterns are very similar to the patterns with GSD condition. The diffusion range defined as the range including 90%, 99% sediment weight of the total sediment weight, however, is larger than without considering GSD condition in 90%-option and shorter than with considering GSD condition in 99-option, respectively. The diffusion range is defined as tile p-percentage of the cumulative sediment weight region with reference to the 50% region, 90%- option, 99%-option, respectively.

Flamelet Modeling of Turbulent Nonpremixed Flames (층류화염편 모델을 이용한 난류 비예혼합 화염장 해석)

  • Kim, Yong-Mo
    • 한국연소학회:학술대회논문집
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    • 2000.12a
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    • pp.9-16
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    • 2000
  • The flamelet concept has been widely applied to numerically simulate complex phenomena occurred in nonpremixed turbulent flames last two decades, and recently broadened successfully the applicable capabilities to various combustion problems from simple laboratory flames to gas turbine engine, diesel spray combustion and partially premixed flames. The paper is focused on brief review of recently noticeable work related to flamelet modeling, which includes Lagrangian flamelet approach, RIF concept as well as steady flamelet approach. The limitation of steady flamelet assumption, the effect of transient behavior of flamelets, and the effect of spray vaporization on PDF model have been discussed.

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Finite element analysis of elastic solid/Stokes flow interaction problem

  • Myung, Jin-Suk;Hwang, Wook-Ryol;Won, Ho-Youn;Ahn, Kyung-Hyun;Lee, Seung-Jong
    • Korea-Australia Rheology Journal
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    • v.19 no.4
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    • pp.233-242
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    • 2007
  • We performed a numerical investigation to find out the optimal choice of the spatial discretization in the distributed-Lagrangian-multiplier/fictitious-domain (DLM/FD) method for the solid/fluid interaction problem. The elastic solid bar attached on the bottom in a pressure-driven channel flow of a Newtonian fluid was selected as a model problem. Our formulation is based on the scheme of Yu (2005) for the interaction between flexible bodies and fluid. A fixed regular rectangular discretization was applied for the description of solid and fluid domain by using the fictitious domain concept. The hydrodynamic interaction between solid and fluid was treated implicitly by the distributed Lagrangian multiplier method. Considering a simplified problem of the Stokes flow and the linearized elasticity, two numerical factors were investigated to clarify their effects and to find the optimum condition: the distribution of Lagrangian multipliers and the solid/fluid interfacial condition. The robustness of this method was verified through the mesh convergence and a pseudo-time step test. We found that the fluid stress in a fictitious solid domain can be neglected and that the Lagrangian multipliers are better to be applied on the entire solid domain. These results will be used to extend our study to systems of elastic particle in the Stokes flow, and of particles in the viscoelastic fluid.

A Three-Dimensional Finite Element Analysis of Hot Extrusion through Square Dies by automatic remeshing Technique with modular concept (자동 단위체 격자재구성법을 이용한 열간 평금형압출의 3차원 유한요소해석)

  • 강연식;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.10a
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    • pp.64-73
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    • 1994
  • An updated Lagrangian finite element analysis with automatic remeshing scheme is applied to the three-dimensional hot extrusion through landless square dies. In the remeshing procedure, it is very difficult that the meshes are generated automatically with consideration of physical characteristics. In the presented study, the mesh generation is accomplished by modular concept. The generated meshes by modular concept have advantages, especially for three-dimensional problems, such as economized computational time and consideration of physical characteristic. In the problem, orifice shapes of square die are divided into two for the extrusion of solid sections. The orifice adaptive modules are developed for each type and the numerical examples are carried out for each type.

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A Study on the Damage Propagation of an Aircraft Material During Forming (항공기 재료 성형시의 손상진전에 관한 연구)

  • 김위대;김진희;김승조
    • Transactions of Materials Processing
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    • v.4 no.2
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    • pp.131-140
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    • 1995
  • In this paper damage propagation of a material during forming is investigated with the concept of continuum damage mechanics. An isotropic damage model based on the theory of materials of type N is adopted to describe the damage process of a ductile material with large elasto-viscoplastic deformation. The stiffness degradation of the loaded material is chosen as a damage measure. The highly nonlinear equilibrium equations are reduced to the incremental weak form and approximated by the total Lagrangian finite element method. To simulate contact condition, extended interior penalty method with modified coulomb friction law is adopted. The displacement control method along with the modified Riks' continuation technique is used to solve the incremental iterative equations. As numerical examples, upsetting problem and backward extrusion problem are simulated and the results of damage propagation and $J_2$ stress contours with and without friction are presented.

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Dynamic Nonlinear Analysis of Stiffened Shell Structures (보강된 쉘구조의 동적 비선형해석)

  • 최명수;김문영;장승필
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.3
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    • pp.57-64
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    • 2001
  • For the dynamic nonlinear analysis of stiffened plate and shell structures, total Lagrangian formulation is presented based upon the degenerated shell element considering finite rotation effects. Assumed strain concept is adopted in order to overcome shear locking phenomena and to eliminate spurious zero energy mode. In the elasto-plastic analysis, the return mapping algorithm based on the consistent elasto-plastic tangent modulus is applied to collapse analysis of shell structures. Newmark integration method is used for dynamic nonlinear analysis of shell structures under dynamic forces.

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Numerical Simulation of friction Stir Spot Welding Process with AA5083-H18 (AA5083-H18 판재의 마찰 교반 점 용접 공정에 대한 전산 해석)

  • Kim, Don-Gun;Badarinarayan, Harsha;Ryu, Ill;Kim, Ji-Hoon;Kim, Chong-Min;Okamoto, Kazutaka;Wagoner, R.H.;Chung, Kwan-Soo
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.458-461
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    • 2009
  • Thermo-mechanical simulation of the Friction Stir Spot Welding (FSSW) processes was performed for the AA5083-H18 sheets, utilizing commercial Finite Element Method (FEM) and Finite Volume Method (FVM) which are based on Lagrangian and Eulerian formulations, respectively. The Lagrangian explicit dynamic FEM code, PAM-CRASH, and the Eulerian Computational Fluid Dynamics (CFD) FVM code, STAR-CD, were utilized to understand the effect of pin geometry on weld strength and material flow under the unsteady state condition. Using FVM code, material flow pattern near the tool boundary was analyzed to explain the weld strength difference between the weld by cylindrical pin and the weld by triangular pin, while the frictional energy concept using the FEM code had limitation to explain the weld strength difference.

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A Study on the Slipping Problem for Cable-Membrane Structures (케이블-막구조물의 요소이동(slip)에 관한 연구)

  • Kim, Jae-Yeol;Kang, Joo-Won;Park, Sang-Min
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.5
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    • pp.95-105
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    • 2008
  • The objective of this study is find out the stressed condition, slipped direction and slipped dimension when some elements of cable-membrane structures are slipped from it's initially designed coordinates by external loads as wind or non uniform load and so on. In order to search the slipped behaviors of cable-membrane structures, a ALE finite element formulation is introduced. In these procedures, a stiffness matrix related with ALE concept is formulated and a FE analysis program for cable-membrane structures with slipped elements is developed.

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DIRECT NUMERICAL SIMULATION OF PARTICLE SUSPENSIONS IN A POLYMERIC LIQUID (미세입자분산 고분자 현탁액의 3차원 직접수치해석)

  • Hwang, W.R.;Hulsen, M.A.;Meijer, H.E.H.
    • Journal of computational fluids engineering
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    • v.14 no.4
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    • pp.101-108
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    • 2009
  • We present a new finite-element scheme for direct numerical simulation of particle suspensions in simple shear flow of a viscoelastic fluid in 3D. The sliding tri-periodic representative cell concept has been combined with DEVSS/DG finite element scheme by introducing constraint equations along the domain boundary. Rigid body motion of the freely suspended particle is described by the rigid-shell description and implemented by Lagrangian multipliers on particle boundaries. We present the bulk rheology of suspensions through the numerical examples of single-, two- and many-particle problems, which represent a large number of such systems in simple shear flow. We report the steady bulk viscosity and the first normal stress coefficient, which show shear-thickening behavior for both properties.