• Title/Summary/Keyword: ADI 기법

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Convergence Study of the Multigrid Navier-Stokes Simulation : II. Implicit Preconditioners (다중 격자 Navier-Stokes 해석을 위한 수렴 특성 연구 : II. 내재적 예조건자)

  • Kim, Yoon-Sik;Kwon, Jang-Hyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.6
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    • pp.1-8
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    • 2004
  • The objective of this study is convergence acceleration of multigrid Navier-Stokes solvers. This study has been performed to enhance the performance of preconditioned multi-stage time stepping method which is a popular smoother for the multigrid Navier-Stokes solvers. Comparative study on the convergence characteristics of the ADI and DDADI preconditioners has been conducted. It is shown that the DDADI preconditioner has better performance than the ADI by numerical tests on the 2-D compressible turbulent flows past airfoils. The Spalart-Allmaras turbulent model and the Baldwin-Lomax turbulent model have been compared with the multigrid calculations.

Numerical Analysis of Three-Dimensional Compressible Viscous Flow Field in Turbine Cascade (터빈 익렬내부의 3차원 압축성 점성유동장의 수치해석)

  • 정희택;백제현
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.10
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    • pp.1915-1927
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    • 1992
  • A three-dimensional Navier-Stokes code has been developed for analysis of viscous flows through turbomachinery blade rows or other internal passages. The Navier-Stokes equations are written in a cartesian coordinate system, then mapped to a general body-fitted coordinate system. Streamwise viscous terms are neglected and turbulent effects are modeled using the baldwin-Lomax model. Equations are discretized using finite difference method on the stacked C-type grids and solved using LU-ADI decomposition scheme. calculations are made for a two-dimensional cascade in a transonic wind-tunnel to see the infuence of the endwalls. The flow pattern of the three-dimensional flow near the endwall is found to be different from that of the two-dimensional flow due to the existence of the endwalls.

Application of 3D ADI-FDTD Method for GPR System Simulation (GPR 시스템 시뮬레이션을 위한 3차원 ADI-FDTD 기법의 적용)

  • Jeon Won Sok;Yeo Woonsik;Yun Seung Hyun;Kim Hyeongdong
    • Proceedings of the IEEK Conference
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    • 2004.06a
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    • pp.131-134
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    • 2004
  • This paper has been studied a ADI-FDTD(Alternating Direction Implicit Finite Difference Time Domain ) algorithm using an alternating Direction time-stepping scheme for GPR( Ground-Penetrating Radar ) system simulation. We did the numerical formulations for three-dimensional ADI-FDTD algorithm and PML(Perfect Matched Layer), and made an simple experiment on a arbitrary cube with programed algorithms. And then we compared its computed results with those of conventional FDTD.

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Solver for the Wavier-Stokes Equations by using Initial Guess Velocity (속도의 초기간 추정을 사용한 Navier-Stokes방정식 풀이 기법)

  • Kim, Young-Hee;Lee, Sung-Kee
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.9
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    • pp.445-456
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    • 2005
  • We propose a fast and accurate fluid solver of the Wavier-Stokes equations for the physics-based fluid simulations. Our method utilizes the solution of the Stokes equation as an initial guess for the velocity of the nonlinear term in the Wavier-Stokes equations. By guessing the initial velocity close to the exact solution of the given nonlinear differential equations, we can develop remarkably accurate and stable fluid solver. Our solver is based on the implicit scheme of finite difference methods, that makes it work well for large time steps. Since we employ the ADI method, our solver is also fast and has a uniform computation time. The experimental results show that our solver is excellent for fluids with high Reynolds numbers such as smoke and clouds.

Development of An Unsteady Navier-Stokes Solver using Implicit Dual Time Stepping Method and DADI Scheme (내재적 이중시간 전진기법과 DADI 기법을 이용한 비정상 Navier-Stokes 코드개발)

  • Lee, Eun-Seok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.9
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    • pp.34-40
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    • 2005
  • In present study, a two dimensional unsteady Navier-Stokes solver has been developed using the Diagonalized ADI (DADI) method and implicit dual time stepping method. The jacobian matrices in steady state Navier-Stokes equations are introduced from inviscid flux terms. The implicit treatment of artificial dissipation terms results in a block penta-diagonal matrix system and it becomes a scalar penta-diagonal matrix by diagonalization. In steady state equations about fictitious time, a new residual including a real time derivative term is introduced. From a converged solution about fictitious time, a real time unsteady solution can be obtained, which is called 'implicit dual time stepping method'. For code validation, an oscillating flat plate, a regular Karman vortices past a circular cylinder and shock buffeting around a bicircular airfoil problems are numerically solved. And they are compared with a theoretical solution, experiments and other researcher's computations.

An Efficient Multigrid Diagonalized ADI Method for 3-Dimensional Compressible Flow Analysis (3차원 압축성 유동 해석을 위한 효율적인 다중 격자 DADI 기법)

  • Park Soo-Hyung;Sung Chun-ho;Kwon Jang Hyuk
    • 한국전산유체공학회:학술대회논문집
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    • 1998.05a
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    • pp.29-34
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    • 1998
  • An efficient 3-dimensional compressible solver is developed using the second-order upwind TVD scheme and the multigrid diagonalized ADI method. The multigrid method is improved so that the present DADI algorithm obtains better convergence rates. Results are computed on Cray C90 computer for transonic unsaperated flows past ONERA-M6 wing to demonstrate the accuracy and efficiency. The results show good agreement with experimetal data. A reduction of four orders of residual for 3-dimensional transonic flow is obtained about 99 seconds.

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Numerical Characteristics of Upwind Schemes for Preconditioned Compressible Navier-Stokes Equations (예조건화된 압축성유동 수치기법에서의 풍상차분법의 수치특성 검토)

  • Gill J. H.;Lee D. H.;Choi Y. H.;Kwon J. H.;Lee S. S.
    • 한국전산유체공학회:학술대회논문집
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    • 2002.10a
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    • pp.95-102
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    • 2002
  • Studies of the numerical characteristics of implicit upwind schemes, such as upwind ADI, Line Gauss-Seidel(LGS) and Point Gauss-Seidel(LU) algorithms, for preconditioned Navier-Stokes equations ate performed. All the algorithms are expressed in approximate factorization form and Von Neumann stability analysis and convergence studies are made. Preconditioning is applied for efficient convergence at low Mach numbers and low Reynolds numbers. For high aspect ratio computations, the ADI and LGS algorithms show efficient and uniform convergence up to moderate aspect ratio if we adopt viscous preconditioning based on min- CFL/max- VNN time-step definition. The LU algorithm, on the other hand, shows serious deterioration in convergence rate as the grid aspect ratio increases. Computations for practical applications also verify these results.

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비행안전을 고려한 조종사 안구움직임(visual search)의 특성에 관한 연구

  • 최정현;김영준
    • Proceedings of the ESK Conference
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    • 1997.10a
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    • pp.487-497
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    • 1997
  • 본 연구는 F-16 Simulator에서 모의비행하는 조종사를 그 대상으로 하였고 피실험자의 시역에서 물체에 대한 상대적인 눈의 움직임을 분석하고영상처리기법을 사용하는 EL-MAR의 eye-tracking system을 사용하여비행시 cross-check 하는 좆ㅇ사의 준 위치를 정확히 측정하고 안구움직임의 특성을 파악하였다. 비행상황을 정상상황, 비상상황으로 나누고 조종사는 숙련급, 비숙련금조종사로 구분하여측정, 분석하였다. 정상비행상황에서는 숙련급조종사가 비숙련급조 종사보다 계기에 머문시간은 짧고 계기의 관찰횟수는 많았으며 비상비행상황에서는 두 그룹의 조종사가 중점적으로 보는 계기가 달랐다. 조종사들이 많이 관찰하는 계기를 살펴보면, 계기에 머문시간에서는 HSI-ADI-ASI-ALT순으로 나타났고 계기의 관찰횟수에서는 ADI-HSI-ASI-ALT순으로 나타났다.

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Flow Characteristics of a Side-Weir in Rectangular Channel (구형 수로내 횡월류 흐름의 특성)

  • Park, Tae-Seon
    • Journal of Korea Water Resources Association
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    • v.35 no.3
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    • pp.251-259
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    • 2002
  • Flow characteristics occurring a side-weir overflow in rectangular channel is investigated in this study. A numerical model based on the two -dimensional shallow-water equations is employed to review the factors influencing on the side- weir overflow discharge and the change of flow depths and velocities. It is found that the discharge coefficient which has the most significant influence on the overflow is affected by geometric characteristics of a side-weir, Froude number of the main channel flow and the flow depth of the main channel at the starting point of a side-weir. And the discharge coefficient applicable to a practical design of a side-weir is proposed by deriving a relationship between Froude number of the main channel flow at the starting point of a side-weir and Froude number of the main channel flow.

The Parameter Identification of Tidal Model on The Boundary-Fitted Coordinates (Boundary-Fitted 좌표계로 변환한 2차원조석모형의 매개변수 동정)

  • 김경수;이재형
    • Water for future
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    • v.23 no.3
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    • pp.319-328
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    • 1990
  • The Parameter Identification of 2-demensional estuarine model was carried out using new output ADI-FDM numerical semi-implicit schem transformed in boundary fitted(BF) - coordinate. The hydrodynamic equations which is coupled with the transport equations were used as basic equations in the model. Thompson's equations were used to transform governing equations into rectangular plane equations and his elliptic grid generation scheme was used to generate curvilinear grid system. in BF - coordinates. The parameters to be identified are friction coefficient and disperse coefficient embedded in the governing equations. The numerical output scheme is tidally averaged salinity model in BF - coordinates. The algorithm to optimize norm of error between observations and calculations is the influence coefficinet algorithm associated with least square criterion. The lumped model is conssidered in identification. This paper was concetrated on checking whether the new output scheme might be useful to identify parameters in estuarine salinity model or not. The proposed method was tested through experimental application with hypothetical simple model. The result of the test shows that the proposed method can be used for parameter identification in estuarine model.

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