• Title/Summary/Keyword: Semi-Lagrangian Method

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Hydrodynamic characteristics of a fixed semi-submersible platform interacting with incident waves by fully nonlinear method

  • Zhang, Zi-Lin;Yuan, Hong-Tao;Sun, Shi-Li;Ren, Hui-Long
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.13 no.1
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    • pp.526-544
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    • 2021
  • Based on the potential flow theory, a fully nonlinear numerical procedure is developed with boundary element method to analyze the interaction between a fixed semi-submersible platform and incident waves in open water. The incident wave is separated from the scattered wave under fully nonlinear boundary conditions. The mixed Euler-Lagrangian method is used to capture the position of the disturbed wave surface in local coordinate systems. The wave forces exerted on an inverted conical frustum are used to ensure the accuracy of the present method and good agreements with published results are obtained. The hydrodynamic characteristics of the semi-submersible platform interacting with regular waves are analyzed. Pressure distribution with time and space, tension and compression of the platform under wave action are investigated. 3D behaviors of wave run-ups are predicted. Strong nonlinear phenomena such as wave upwelling and wave interference are observed and analyzed.

NUMERICAL ANALYSIS FOR THE SHALLOW WATER EQUATIONS ON THE SPHERE BY CIP METHOD (CIP법을 이용한 구 좌표계에서의 천수 방정식 해석)

  • Yoon, Seong-Young;Kim, Soo-Youn;Kim, Hyun-Chul
    • Journal of computational fluids engineering
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    • v.10 no.2
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    • pp.7-14
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    • 2005
  • In this study, the shallow water equations on the sphere is simulated by the proposed method which has high spatial resolution and is based on the CIP(Cubic Interpolated Pseudoparticle) method. The governing equations are approximated on the longitude-latitudinal coordinate system. To avoid the problems resulting from the convergence of the meridians toward high-latitude and singularities on the poles, the semi-Lagrangian and finite volume method are employed. in addition, the CIP method is employed to solve the advection equations and is extended to apply on the equations in the polar coordinate system. The mathematical formulation and numerical results are also described. To verify of the efficiency, accuracy and capability of proposed algorithm, the standard test cases proposed bv Williamson et. al are simulated and the results are compared with other results. As a result, it is found that the present scheme gives a good properties in preserving shapes of solution and settles the pole problems in solving the shallow water equations on the sphere.

Applications of Three-Dimensional Multiphase Flow Simulations for Prediction of Wave Impact Pressure (유체충격력 예측을 위한 3차원 다상류 시뮬레이션의 응용)

  • Jeong, Se-Min;Hwang, Sung-Chul;Park, Jong-Chun
    • Journal of Ocean Engineering and Technology
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    • v.27 no.2
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    • pp.39-46
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    • 2013
  • In this study, the impact loads on tank walls by sloshing phenomena and on a tall structure in a three-dimensional rectangular tank were predicted using multiphase flow simulations. The solver was based on the CIP/CCUP (Constraint interpolation CIP/CIP combined unified procedure) method, and the THINC-WLIC (Tangent hyperbola for interface capturing-weighted line interface calculation) scheme was used to capture the air-water interface. For the convection terms of the Navier-Stokes equations, the USCIP (Unsplit semi-lagrangian CIP) method was adopted. The results of simulations were compared with those of experiments. Overall, the comparisons were reasonably good.

Towards development of a reliable fully-Lagrangian MPS-based FSI solver for simulation of 2D hydroelastic slamming

  • Khayyer, Abbas;Gotoh, Hitoshi;Falahaty, Hosein;Shimizu, Yuma;Nishijima, Yusuke
    • Ocean Systems Engineering
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    • v.7 no.3
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    • pp.299-318
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    • 2017
  • The paper aims at illustrating several key issues and ongoing efforts for development of a reliable fully-Lagrangian particle-based solver for simulation of hydroelastic slamming. Fluid model is founded on the solution of Navier-Stokes along with continuity equations via an enhanced version of a projection-based particle method, namely, Moving Particle Semi-implicit (MPS) method. The fluid model is carefully coupled with a structure model on the basis of conservation of linear and angular momenta for an elastic solid. The developed coupled FSI (Fluid-Structure Interaction) solver is applied to simulations of high velocity impact of an elastic aluminum wedge and hydroelastic slammings of marine panels. Validations are made both qualitatively and quantitatively in terms of reproduced pressure as well as structure deformation. Several remaining challenges as well as important key issues are highlighted. At last, a recently developed multi-scale MPS method is incorporated in the developed FSI solver towards enhancement of its adaptivity.

Failure simulation of ice beam using a fully Lagrangian particle method

  • Ren, Di;Park, Jong-Chun;Hwang, Sung-Chul;Jeong, Seong-Yeob;Kim, Hyun-Soo
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.2
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    • pp.639-647
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    • 2019
  • A realistic numerical simulation technology using a Lagrangian Fluid-Structure Interaction (FSI) model was combined with a fracture algorithm to predict the fluid-ice-structure interaction. The failure of ice was modeled as the tensile fracture of elastic material by applying a novel FSI model based on the Moving Particle Semi-implicit (MPS) method. To verify the developed fracture algorithm, a series of numerical simulations for 3-point bending tests with an ice beam were performed and compared with the experiments carried out in an ice room. For application of the developed FSI model, a dropping water droplet hitting a cantilever ice beam was simulated with and without the fracture algorithm. The simulation showed that the effects of fracture which can occur in the process of a FSI simulation can be studied.

A Numerical Study on 2-Dimensuional Tank with Shallow Draft (천수에서 2차원 수치파 수조에 대한 계산)

  • 임춘규
    • Journal of Ocean Engineering and Technology
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    • v.14 no.1
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    • pp.1-5
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    • 2000
  • A numerical analysis for wave motion in the shallow water is presented. The method is based on potential theory. The fully nonlinear free surface boundary condition is assumed in an inner domain and this solution is matched along an assumed common boundary to a linear solution in outer domain. In two-dimensional problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary.

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Interface-tracking simulation of multi-phase flow using CIP-CSL2 scheme (CIP-CSL2법에 의한 다상유동 경계포획 시뮬레이션)

  • Im, H.N
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.25-30
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    • 2011
  • In this study, it is performed numerical simulation on multi-phase flow by means of CIP-CSI2 scheme. It is applied In a two-phase free surface flow problem at a high density ratio equivalent to that of an air-water system, for examining the computational capability. The method that is being developed and improved is a CIP(Constrained Interpolation Profile) and CSL2(Conservative Semi-Lagrangian) based Cartesian Grid Method.

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Numerical Simulation on the Response of Moored Semi-submersible Under Ice Load (유빙 하중을 받는 계류된 반잠수식 시추선의 응답해석)

  • Kim, Jeong-Hwan;Kim, Yooil
    • Journal of Ocean Engineering and Technology
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    • v.32 no.3
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    • pp.177-183
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    • 2018
  • This study simulated ice load and the motion response of a moored semi-submersible rig in pack-ice conditions using a finite element method. Ice flows of random size and shape were modeled, and interactions for ice-sea, ice-structure, ice-ice were simulated using a simplified method. Parameters for the simplified method such as drag force coefficient and the pressure-penetration relation were obtained based on the result of detailed analysis using the coupled Eulerian-Lagrangian method. The mooring lines were modeled by spring elements based on their stiffness. As a result of the simulation over 1,400 seconds, the force and motion response of the rig were obtained and validated using discrete elements and compared with the results found by the Krylov State Research Centre.

A Conservative USCIP Simulation Method for Shallow Water (물 표면 시뮬레이션을 위한 보존적 USCIP법)

  • Jeon, Sejong;Song, Oh-young
    • Journal of the Korea Computer Graphics Society
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    • v.25 no.5
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    • pp.21-30
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    • 2019
  • We propose a physical simulation method based on the shallow water equation(SWE) to represent water surface effectively. In this paper, the water which can be represented has a much larger width compared to the depth does not have a large vertical direction flow. In order to calculate the water flow efficiently, we start with the shallow water equation as the governing equation, which is a simplified version of the Navier-Stokes equation. In order to numerically calculate the advection term of the SWE, we introduce a new conservtive USCIP(CUSCIP) method which improves the Constrained Interpolation Profile (CIP) method to preserve the physical quantity while increasing the numerical accuracy. The proposed method is based on Kim et. al.'s Unsplit Semi-lagrangian CIP[9], and calculates advection term with additional constraints on term that consider integral values. The experimental results show that the CUSCIP method is robust to the loss of physical quantity due to numerical dissipation, which improves wave detail and persistence.

Numerical Simulation for Fluid Impact Loads by Flat Plate with Incident Angles (받음각을 갖는 평판의 유체 충격 시뮬레이션)

  • Lee, Byung-Hyuk;Jung, Sung-Jun;Ryu, Min-Cheol;Kim, Yong-Su;Park, Jong-Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.1
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    • pp.1-9
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    • 2008
  • The free-surface motions interacting with structures are investigated numerically using the Moving Particle Semi-implicit (MPS) method proposed by Koshizuka et al. (1996) for solving incompressible flow. In the method, Lagrangian moving particles are used instead of Eulerian approach using grid system. Therefore the terms of time derivatives in Navier-Stokes equation can be directly calculated without any numerical diffusion or instabilities due to the fully Lagrangian treatment of fluid particles and topological failure never occur. The MPS method is applied to the numerical study on the fluid impact loads for wet-drop tests in a LNG tank, and the results are compared with experimental ones.