• 제목/요약/키워드: Multigrid method

검색결과 86건 처리시간 0.024초

다중격자 준선형 근사 및 반복적 전자탐사 구조보정법에 기초한 해양 인공송신 전자탐사 자료의 빠른 수치해석 기법 (Fast numerical methods for marine controlled-source electromagnetic (EM) survey data based on multigrid quasi-linear approximation and iterative EM migration)

  • 상전장
    • 지구물리와물리탐사
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    • 제11권1호
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    • pp.60-67
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    • 2008
  • 이 논문에서 우리는 해저용 수신기들과 이동하는 전기적 양극송신기의 한 조로 이루어진 전형적인 해양 인공송신 전자탐사 (MCSEM) 방법에 의해 얻어진 자료 해석에 전자탐사 구조보정법의 적용을 다룬다. 이 연구에서와 같이 다중 송신기와 다중 수신기를 이용해 획득된 자료는 방대한 컴퓨터 계산을 요하기 때문에 MCSEM자료의 3차원적 해석은 매우 도전적인 문제이다. 이와 동시에, 우리는 조밀하게 송신 및 수신기를 위치 시켜야 하는 이 MCSEM시스템은 구조보정법의 적용에 아주 적합하다는 것을 보여줄 것이다. 구조보정장 계산의 속도를 증가시키기 위해 우리는 직접 개발한 다중격자 준선형 (MGQL) 근사법에 기초한 적분방정식 해의 빠른 형태를 적용시켰다. 이 논문에서 공식화된 구조보정 영상 원리는 전형적인 해저 석유 저류층 모델에 적용되어 시험 되었다.

영상유체보존식과 함수전개법에 의한 심장영상의 광류 (Optical flow of heart images by image-flow conservation equation and functional expansion)

  • 김진우
    • 한국정보통신학회논문지
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    • 제11권7호
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    • pp.1341-1347
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    • 2007
  • 기존의 광류 (Optical flow)는 국소적 처리를 시작점으로 하는 bottom-up수법에 의해서 구하였다. 이에 반해, 본 논문은 영상유체보존식과 함수 전개법에 의해 영상 전체의 움직임을 차수가 낮은 모드로 부터 순차적으로 전개하는 bottom-down수법을 새로운 수법으로 제안한다. 의료 영상에 있어서 명도는 움직임이 있어도 불변으로 유지하려는 경우가 많다. 그러나 이 같은 영상계열에서의 움직임은 좌표 변환에 의해서 대응된다. 본 수법의 경우 광류는 선형모멘트방정식의 함수에 관한 도함수를 이용하는 투영법에 의해서 반복계산으로 구하여 진다. 본 논문에서는 심장의 영상계열을 이용하여 기존의 Horn and Schunck기법, Standard multigrid기법과 본 수법의 알고리즘을 비교 평가하여 유효성을 나타낸다.

소방로봇 냉각시스템의 최적화를 위한 수치해석 (Numerical optimization studies of a fire fighting robot cooling system)

  • 임중연;유명열;김종권;이현근;김준석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.690-694
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    • 2008
  • In this presentation, we study numerically an optimization problem of a fire fighting robot cooling system. The governing equation for the system is the unsteady heat equation with source term. We use a multigrid method for numerical solutions in three-dimensional space. We investigated the effects of various parameters and the results will be presented.

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NUMERICAL IMPLEMENTATION OF THE TWO-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATION

  • CHOI, YONGHO;JEONG, DARAE;LEE, SEUNGGYU;KIM, JUNSEOK
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권2호
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    • pp.103-121
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    • 2015
  • In this paper, we briefly review and describe a projection algorithm for numerically computing the two-dimensional time-dependent incompressible Navier-Stokes equation. The projection method, which was originally introduced by Alexandre Chorin [A.J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput., 22 (1968), pp. 745-762], is an effective numerical method for solving time-dependent incompressible fluid flow problems. The key advantage of the projection method is that we do not compute the momentum and the continuity equations at the same time, which is computationally difficult and costly. In the projection method, we compute an intermediate velocity vector field that is then projected onto divergence-free fields to recover the divergence-free velocity. Numerical solutions for flows inside a driven cavity are presented. We also provide the source code for the programs so that interested readers can modify the programs and adapt them for their own purposes.

Kriging 방법을 이용한 2차원 날개 형상 최적설계에 대한 연구 (A Study on 2-D Airfoil Design Optimization by Kriging)

  • 가재도;권장혁
    • 한국전산유체공학회지
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    • 제9권1호
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    • pp.34-40
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    • 2004
  • Recently with growth in the capability of super computers and Parallel computers, shape design optimization is becoming easible for real problems. Also, Computational Fluid Dynamics(CFD) techniques have been improved for higher reliability and higher accuracy. In the shape design optimization, analysis solvers and optimization schemes are essential. In this work, the Roe's 2nd-order Upwind TVD scheme and DADI time march with multigrid were used for the flow solution with the Euler equation and FDM(Finite Differenciation Method), GA(Genetic Algorithm) and Kriging were used for the design optimization. Kriging were applied to 2-D airfoil design optimization and compared with FDM and GA's results. When Kriging is applied to the nonlinear problems, satisfactory results were obtained. From the result design optimization by Kriging method appeared as good as other methods.

비정상 Euler 방정식을 이용한 동안정 미계수 예측 (Prediction of Dynamic Stability Derivatives Using Unsteady Euler Equations)

  • 박수형;김윤식;권장혁
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2001년도 춘계 학술대회논문집
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    • pp.78-84
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    • 2001
  • A dual-time stepping algorithm combined with a parallelized multigrid DADI method is presented to predict the dynamic damping coefficients. The Basic Finner model is chosen to validate the prediction capability of the present unsteady Euler method. The linearity of the pitch- and roll-damping coefficients is shown in the low angular rates and the interesting large drop and stiff increment in transonic region for roll-damping coefficients are explained in detail. Through the analysis for the pressure distributions at Mach number 1.0 to 1.2, the sudden drop results from the normal shock and the stiff increment of roll-damping reflects the transition of the normal shock to the oblique shock. The results also show that the Euler equations can give the damping coefficients with a comparable accuracy.

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A HYBRID METHOD FOR HIGHER-ORDER NONLINEAR DIFFUSION EQUATIONS

  • KIM JUNSEOK;SUR JEANMAN
    • 대한수학회논문집
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    • 제20권1호
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    • pp.179-193
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    • 2005
  • We present results of fully nonlinear time-dependent simulations of a thin liquid film flowing up an inclined plane. Equations of the type $h_t+f_y(h) = -{\in}^3{\nabla}{\cdot}(M(h){\nabla}{\triangle}h)$ arise in the context of thin liquid films driven by a thermal gradient with a counteracting gravitational force, where h = h(x, t) is the fluid film height. A hybrid scheme is constructed for the solution of two-dimensional higher-order nonlinear diffusion equations. Problems in the fluid dynamics of thin films are solved to demonstrate the accuracy and effectiveness of the hybrid scheme.

비정상 상태의 선접촉 탄성유체윤활 유막두께 및 유막압력 특성연구 (Study on the Film Thickness and Pressure of the Transient Line Contact Elastohydrodynamic Lubrication)

  • 조재철;장시열
    • Tribology and Lubricants
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    • 제25권5호
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    • pp.335-341
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    • 2009
  • Elastohydrodynamic lubrication (EHL) analysis shows that film thickness is very flat in the contact area and pressure distribution is somehow similar to that of Hertzian contact pressure except the outlet region with pressure spike. These typical patterns of EHL film thickness and pressure are the cases under the steady contact conditions of applied loads and speeds. However, many engineering contacts are rather under the conditions of varying loads and contact speeds, and therefore the predictions for endurance life and performance of machine elements with steady EHL analysis are not suitable in many occasions. This study shows the differences in film thickness formation and pressure distribution between steady and transient contact conditions in several contact cases.

Numerical simulation of a single bubble suspension in polyol resin

  • Dongjin Seo;Lim, Yun-Mee;Youn, Jae-Ryoun
    • 한국섬유공학회:학술대회논문집
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    • 한국섬유공학회 2003년도 The Korea-Japan Joint Symposium
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    • pp.47-48
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    • 2003
  • Dilute bubble suspensions are prepared by introducing carbon dioxide bubbles into polyol resin. The apparent shear viscosity is measured with a wide gap parallel plate rheometer. A numerical simulation for deformation of a single bubble suspended in a Newtonian fluid is conducted by using a finite volume method (FVM) where multigrid algorithms are incorporated. Transient and steady results of bubble deformation were obtained and were in good agreement with experimental results. At high capillary number, viscosity of the suspension increases as the volume fraction increases, while at low capillary number, the viscosity decreases as the volume fraction increases.

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무단 변속기의 동력전달 접촉에서 회전운동을 고려한 타원형상의 점접촉 탄성유체윤활연구 (Study on the Fluid Film Thickness and Pressure of Elliptical Elastohydrodynamic Lubrication with Spin Effect for the Power Transmitting Contact in the Continuously Variable Transmission)

  • 장시열
    • Tribology and Lubricants
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    • 제21권6호
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    • pp.272-277
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    • 2005
  • Continuously variable transmission (CVT) of toroidal type has a elliptical shape of contact zone under the elastohydrodynamic lubrication (EHL) condition, where the power is transmitted only by shearing the lubricant. Due to the small contact area of elliptical shape, the traction of the shear behaviors of lubricant over the contact zone is under extremely high contact pressure over 1.0GPa. During the power transmission by shearing the fluid, many kinds of mechanical movements occur such as squeezing, sliding, rolling and spin. Among the movements, the spin effect that is the most undesirable contact behavior in transmitting the power frequently makes significant abnormal wear damage. In this work, the analysis of elliptical contact of EHL with spin effect is performed, which will give very useful information to understand the traction behaviors in toroidal type of CVT system.