• 제목/요약/키워드: Implicit Integration Method

검색결과 157건 처리시간 0.02초

Computation of Water and Air Flow with Submerged Hydrofoil by Interface Capturing Method

  • Kwag, Seung-Hyun
    • Journal of Mechanical Science and Technology
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    • 제14권7호
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    • pp.789-795
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    • 2000
  • Free-surface flows with an arbitrary deformation, induced by a submerged hydrofoil, are simulated numerically, considering two-fluid flows of both water and air. The computation is performed by a finite volume method using unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell wise local mesh refinement. The integration in space is of second order, based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels. The linear equations are solved by conjugate gradient type solvers, and the non-linearity of equations is accounted for through Picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations, the continuity equation, the conservation equation of one species, and the equations for two turbulence quantities. Finally, a comparison is quantitatively made at the same speed between the computation and experiment in which the grid sensitivity is numerically checked.

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6×6 자율주행 차량의 실시간 해석을 위한 연구 (A Study on the Real-Time Analysis of a 6×6 Autonomous Vehicle)

  • 조두호;이정한;이기창;유완석
    • 대한기계학회논문집A
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    • 제33권12호
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    • pp.1433-1441
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    • 2009
  • In multibody dynamic analysis, one of the most important problems is to reduce computation times for real-time simulation. This paper presents the derivation procedure of equations of motion of a 6${\times}$6 autonomous vehicle in terms of chassis local coordinates which do not require coordinates transformation matrix to enhance efficiency for real-time dynamic analysis. Also, equations of motion are derived using the VT(velocity transformation) technique and symbolic computation method coded by MATLAB. The Jacobian matrix of the equations of motion of a system is derived from symbolic operations to apply the implicit integration method. The analysis results were compared with ADAMS results to verify the accuracy and approve the feasibility of real time analysis.

수축부 기초 유동 해석을 위한 삼차원 Euler 방정식 풀개 개발 (Development of a Three-Dimensional Euler Solver for Analysis of Basic Contraction Flow)

  • 김진;김형태
    • 한국전산유체공학회지
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    • 제2권1호
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    • pp.8-12
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    • 1997
  • The three-dimensional Euler equations are solved numerically for the analysis of contraction flows in wind or water tunnels. A second-order finite difference method is used for the spatial discretization on the nonstaggered grid system and the 4-stage Runge-Kutta scheme for the numerical integration in time. In order to speed up the convergence, the local time stepping and the implicit residual-averaging schemes are introduced. The pressure field is obtained by solving the pressure-Poisson equation with the Neumann boundary condition. For the evaluation of the present Euler solver, numerical computations are carried out for three contraction geometries, one of which was adopted in the Large Cavitation Channel for the U.S. Navy. The comparison of the computational results with the available experimental data shows good agreement.

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흐름에 의한 만내의 순환의 수학적 모의모형 (MATHEMATICAL SIMULATION MODEL OF FLOW INDUCED CIRCULATION IN A HARBOR)

  • 윤태훈;윤성범
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 1982년도 제24회 수공학 연구발표회 논문초록집
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    • pp.91-98
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    • 1982
  • The formulation of depth-averaged two-dimensional mathematical model for the analysis of tide induced circulation in a harbor by the Galerkin finite element techique is presented. In integration of the Galerkin approach in time both explicit and implicit method have been tested for one and two dimentional water bodies, and the two step Lax-Wendroff explicit method is found to be effective than the implicit in reducing computing time. The essential characteristics of the tide induced flow in Busan Harbor with two open boundaries has been foccud to be reproduceable in the numerical model and the simulated results encourage that the model can be used as a predictive tool.

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Volume Fraction 기법에 의한 자유표면파 형상 연구 (Study on the Shape of Free Surface Waves by the Scheme of Volume Fraction)

  • 곽승현
    • Journal of Advanced Marine Engineering and Technology
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    • 제32권8호
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    • pp.1215-1220
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    • 2008
  • To obtain the shape of the free surface more accurately, computations are carried out by a finite volume method using unstructured meshes and an interface capturing method. Free-surface flow, which is very important in the fields of ship and marine engineering, is numerically simulated for flows of both water and air. Control volumes are used with an arbitrary number of faces and allows a local mesh refinement. The integration is of second order, with a midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation. The solution method of pressure-correction type solves sequentially equations of momentum, continuity, conservation, and two-equations turbulence model. Comparison are quantitatively made between the computation and experiment in order to confirm the solution method.

효율적인 옷감 애니메이션 및 충돌 처리 기법 (Efficient Methods for Cloth Animation and Collision Handling)

  • 강영민
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 컴퓨터소사이어티 추계학술대회논문집
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    • pp.125-128
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    • 2003
  • This paper proposes efficient cloth animation and collision handling methods. There have been various techniques for the generation of cloth behavior. However, the cloth animation is still a challenging subject in real-time environments. This paper presents an efficient animation method based on implicit integration. The proposed method can efficiently animate virtual cloth object with complex geometry. In addition, this paper also introduces an efficient collision handling method. The collision resolution is another important issue in cloth animation since deformable objects has special collision problem called self-collision. In this paper, the self-collision was successfully avoided in real - time environments.

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Seismic response analysis of an oil storage tank using Lagrangian fluid elements

  • Nagashima, Toshio;Tsukuda, Takenari
    • Coupled systems mechanics
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    • 제2권4호
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    • pp.389-410
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    • 2013
  • Three-dimensional Lagrangian fluid finite element is applied to seismic response analysis of an oil storage tank with a floating roof. The fluid element utilized in the present analysis is formulated based on the displacement finite element method considering only volumetric elasticity and its element stiffness matrix is derived by using one-point integration method in order to avoid volumetric locking. The method usually adds a rotational penalty stiffness to satisfy the irrotational condition for fluid motion and modifies element mass matrices through the projected mass method to suppress spurious hourglass-mode appeared in compensation for one-point integration. In the fluid element utilized in the present paper, a small hourglass stiffness is employed. The fluid and structure domains for the objective oil storage tank are modeled by eight-node solid elements and four-node shell elements, respectively, and the transient response of the floating roof structure or the free surface are evaluated by implicit direct time integration method. The results of seismic response analyses are compared with those by other method and the validation of the present analysis using three-dimensional Lagrangian fluid finite elements is shown.

퍼지추론을 적용한 직물 애니메이션 (Real Time Textile Animation Using Fuzzy Inference)

  • 황선민;송복희;윤한경
    • 한국콘텐츠학회논문지
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    • 제11권9호
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    • pp.1-8
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    • 2011
  • 본 연구는 질량-스프링 모델 기반의 직물 모델에서 질점의 움직임을 분석하여 실시간 직물 애니메이션이 가능한 퍼지 추론 기법을 제안한다. 지금까지 직물과 같은 탄성체를 표현하기 위한 많은 기법들은 질량-스프링 모델을 사용하였다. 직물은 다수의 질량과 스프링의 조합으로 구성되어 변형 가능한 면을 이루게되고, 면의 움직임은 운동법칙을 기반으로 수치적분을 통해 계산될 수 있다. 제안된 방법과 동일한 직물구조에서 Explicit 오일러 방법은 ${\Delta}t$ > 0.01 일 경우 불안정성 문제가 나타났으며, Implicit 오일러 방법은 ${\Delta}t$ = 0.03 에서도 애니메이션이 생성되지만 많은 양의 선형 시스템을 계산해야 하는 단점을 가지고 있어서 실시간 처리에 부적합하다. 본 연구는 질량-스프링 모델에서 질점의 움직임을 계산하기 위하여 ${\Delta}t$ = 0.03을 가지면서도 실시간 처리가 가능한 방법을 제안한다.

부분 내재적 체비셰브 스펙트럴 기법을 이용한 주기적인 비정상 유동 해석 (Partially Implicit Chebyshev Pseudo-spectral Method for a Periodic Unsteady Flow Analysis)

  • 임동균
    • 항공우주시스템공학회지
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    • 제14권3호
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    • pp.17-23
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    • 2020
  • 본 연구는 Chebyshev collocation operator를 지배 방정식의 시간 미분항에 적용하여 비정상 유동해석을 해석할 수 있는 기법을 개발한 논문이다. 시간적분으로 유속항은 내재적으로 처리하였으며 시간 미분항은 Chebyshev collocation operator을 적용하여 원천항 형태로 외재적으로 처리하여 부분 내재적 시간적분법을 적용하였다. 본 연구의 방법을 검증하기 위해 1차원 비정상 burgers 방정식과 2차원 진동하는 airfoil에 적용하였으며 기존의 비정상 유동 주파수 해석기법과 시험 결과를 비교하여 나타내었다. Chebyshev collocation operator는 주기적인 문제와 비주기적인 문제에 대해서 시간 미분항을 처리할 수 있으므로 추후 비주기적인 문제에 적용할 예정이다.

대형 차체판넬 스템핑공정에서의 동적 외연적 탄소성 유한요소해석 (Dynamic Explicit Elastic-Plastic Finite Element Analysis of Large Auto-body Panel Stamping Process)

  • 정동원;김귀식;양동열
    • 한국해양공학회지
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    • 제12권1호
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    • pp.10-22
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    • 1998
  • In the present work the elastic-plastic FE formulations using dynamic explicit time integration schemes are used for numerical analysis of a large auto-body panel stamping processes. For analyses of more complex cases with larger and more refined meshes, the explicit method is more time effective than implicit method, and has no convergency problem and has the robust nature of contact and friction algorithms while implicit method is widely used because of excellent accuracy and reliability. The elastic-plastic scheme is more reliable and rigorous while the rigid-plastic scheme require small computation time. In finite element simulation of auto-body panel stamping processes, the roobustness and stability of computation are important requirements since the computation time and convergency become major points of consideration besides the solution accuracy due to the complexity of geometry conditions. The performnce of the dynamic explicit algorithms are investigated by comparing the simulation results of formaing of complicate shaped autobody parts, such as a fuel tank and a rear hinge, with the experimental results. It has been shown that the proposed dynamic explicit elastic-plastic finite element method enables an effective computation for complicated auto-body panel stamping processes.

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