• Title/Summary/Keyword: ADI 기법

Search Result 24, Processing Time 0.027 seconds

Numerical Characteristics of Upwind Schemes for Preconditioned Navier-Stokes Equations (예조건화된 Navier-Stokes 방정식에서의 풍상차분법의 수치특성)

  • Gill, Jae-Heung;Lee, Du-Hwan;Sohn, Duk-Young;Choi, Yun-Ho;Kwon, Jang-Hyuk;Lee, Seung-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.27 no.8
    • /
    • pp.1122-1133
    • /
    • 2003
  • Numerical characteristics of implicit upwind schemes, such as upwind ADI, line Gauss-Seidel (LGS) and point Gauss-Seidel (LU) algorithms, for Navier-Stokes equations have been investigated. Time-derivative preconditioning method was applied for efficient convergence at low Mach/Reynolds number regime as well as at large grid aspect ratios. All the algorithms were expressed in approximate factorization form and von Neumann stability analysis was performed to identify stability characteristics of the above algorithms in the presence of high grid aspect ratios. Stability analysis showed that for high aspect ratio computations, the ADI and LGS algorithms showed efficient damping effect 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, showed serious deterioration in stability characteristics as the grid aspect ratio increases. Computations for several practical applications also verified these results.

Hydraulic Characteristics and Intertidal-flat Simulation during Sea Dike Construction (방조제 축조시 수리특성 및 조간대의 모의해석)

  • 최흥식;이길성
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.5 no.2
    • /
    • pp.99-106
    • /
    • 1993
  • A two-dimensional numerical analysis is performed for the simulation of intertidal-flat and analysis of hydraulic characteristics during seadike construction in Sae-Man-Keum tidal basin. The shallow water equations are selected as a mathematical model and the Leendertse's ADI scheme is used as the corresponding numerical model. The simulated results of tide and current by the present model agree welt with the experimenta1 results by the hydraulic Lab. or ADC (1989). In the application of the model, the possibility of rapidly varied flow analysis and the introduction of turbulence model required for more accurate hydraulic calculation at closing gap are described. The successive simulation of flooding/drying effects by a modification of the method by Stelling et al. (1986) can easily be used for the intertidal-flat analysis during tidal reclamation.

  • PDF

Impact Damage Detection in a Composite Stiffened Panel Using Built-in Piezoelectric Active Sensor Arrays (배열 압전 능동 센서를 이용한 복합재 보강판의 충격 손상 탐지)

  • Park, Chan-Yik;Cho, Chang-Min
    • Composites Research
    • /
    • v.20 no.6
    • /
    • pp.21-27
    • /
    • 2007
  • Low-velocity impact damage in a composite stiffened panel was detected using built-in piezoelectric active sensor arrays. Using these piezoelectric active sensors, various diagnostic signals were generated to propagate Lamb waves through the structure and the responses were picked up to detect changes in the structure's vibration signature due to the damage. Three algorithms - ADI(Active Damage Interrogation), TD RMS (Time Domain Root Mean Square) and STFT (Short Time Fourier Transform) - were examined to express the features of the signal changes as one damage index. From damage detecting tests, two impact induced delaminations were detected and the location was estimated with the algorithms and diagnostic signals.

A Research on the PIV Algorithm Using Image Coding (영상코드화 기법을 이용한 PIV 알고리듬에 대한 연구)

  • Kim, Sung-Kyun
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.24 no.2
    • /
    • pp.153-160
    • /
    • 2000
  • A Particle Image Velocimetry(PIV) algorithm is developed to analyze whole flow field both qualitatively and quantitatively. The practical use of PIV requires the use of fast, reliable, computer-based methods for tracking numerous particles suspended in a flow field. The TSS, NTSS, FFT-Hybrid, which are developed in the area of image compression and coding, are introduced to develop fast vector search algorithm. The numerical solution of the lid-driven cavity flow by the ADI algorithm with the Wachspress Formula is introduced to produce synthetic data for the validation of the tracking algorithms. The algorithms are applied to image data of real flow experiments. The comparisons in CPU time and mean error show, with a small loss of accuracy, CPU time for tracking is reduced considerably.

Numerical Simulations for Design of a Liquid Rocket Engine (액체 로켓엔진 설계에서의 유동해석)

  • 김영목;채연석
    • Proceedings of the Korean Society of Propulsion Engineers Conference
    • /
    • 1995.11a
    • /
    • pp.87-96
    • /
    • 1995
  • 인공위성의 궤도진입에 사용되는 액체추진제 로켓엔진의 개발에서 분사기 설계를 적절히 수정, 보완 할 목적으로 수행된 핵심부품별 유동해석의 내용이 기술되었다. 단일 격자계를 구성하기 어려운 복잡한 형상의 분사기 유동장에 대한 격자계 구성을 용이하게 하고, 3차원의 점성 유동해석을 컴퓨터 기억 용량에 제한없이 수행하기 위한 다중블럭 격자기법이 사용되었다. 분사기의 내부유동은 3차원 비압축성 Navier-Stokes 방정식으로 pseudocompressibility 방법을 이용하여 수치모사되었다. 정상상태의 해는 근사 인자분해에 의한 ADI 기법으로 계산되고, 공간미분항에 대해 nonstaggered 격자계에서 2차 중앙차분을 사용하며 수치해의 안정성을 위해 인공점성항을 추가하였다. 난류계산을 위해 Baldwin- Lomax의 대수적 난류모델에 다수의 벽면효과를 고려하였다. 해석결과는 분사기의 성능에 영향을 미칠 수 있는 유동조건에 따라 분석되었다.

  • PDF

Comparison of Parallel Preconditioners for Solving Large Sparse Linear Systems on a Massively Parallel Machine (대형이산 행렬 시스템의 초대형병렬컴퓨터에서의 해법을 위한 병렬준비 행렬의 비교)

  • Ma, Sang-Baek
    • The Transactions of the Korea Information Processing Society
    • /
    • v.2 no.4
    • /
    • pp.535-542
    • /
    • 1995
  • In this paper we present two preconditioners for solving large sparse linear systems arising from elliptic partial differential equations on massively parallel machines, such as the CM-5. Most massively parallel machines do heavily rely on the message-passing for the interprocessor communications. but according to the current manufacturing standards the cost of communications is very high compared to that of floating point arithmetic computations. Due to this we need an algorithm which minimizes the amount of interprocessor communication on the massively parallel machines. We will show that Block SOR(Successive Over Relaxation) method coupled with the multi-coloring technique is one of such preconditioner on the massively parallel machines, by conducting experiments in the CM-5. Also, we implemented the ADI(Alternation Direction Implicit) method in the CM-5, which has been conventionally one of the most powerful parallel preconditioner. Our experiment shows that Block SOR method coupled with the multi-coloring technique could yield a speedup with 50% efficiency with the range of number of processors form 16 to 512 for a matrix with dimension 512x512. On the other hand, the ADI method shows a very poor performance.

  • PDF

측방향흐름이 있는 만곡부 흐름의 해석

  • Park, Jae-Hyeon;Yun, Seong-Yong
    • Water for future
    • /
    • v.25 no.3
    • /
    • pp.87-96
    • /
    • 1992
  • Hydraulic characteristics such as velocity, surface level and flow pattern in the curved channel are analyzed by model experiment, where model is scaled down by 1:20 for prototype channel containing side branch and curved section. The withdrawal of channel flow from channel is analyzed to find the effect on the curve section. The numerical scheme for shallow water equation using ADI method is verified through the comparison of hydrauric characteristics by experiment with that by numerical analysis in the side section of model channel. The comparison of numerical results with experimental data shows that velocity, surface level and flow pattern agree well for overall channel. Because fo the relative contraction of cross section in the curved section caused by rectangular system, the velocity calculated by numerical analysis is faster in curved section than that from experiment, which can be improved using finer spatial grid in curved section. The characteristics of the curved section such that the surface level is higher in the outer zone of curved section and the velocity is faster in the inner zone are well simulated by both experiment and numerical analysis. The effect of side branch reaches within the zone of the curved section.

  • PDF

A Study on the Local Boiling of the Consolidated Spent Fuel Storage Pool (조밀화된 사용후 핵연료 저장조에서의 국부 비등에 관한 연구)

  • Lee, Chang-Ju;Lee, Kun-Jai
    • Nuclear Engineering and Technology
    • /
    • v.25 no.1
    • /
    • pp.8-19
    • /
    • 1993
  • The natural convection model of the consolidated system has been developed to make sure the removal of decay heat generated in the spent fuel for the loss of forced cooling accident. The numerical technique employed was based on the ADI scheme. The calculation of heat generation rate in the spent fuel was peformed by the ANS-79 decay heat model, and the nonuniform surface heat flux is assumed with a chopped sine curve for the conservative decay heat generation input. The sensitivity study was performed to examine the possibility of the pool bulk boiling by varying the various parameters, i.e. inter-fuel spacing ratio, heat generation power, and radius of the fuel rod. The application results of this model show that the natural circulation flow through compacted spent fuel bundles enables the pool temperature to control in a safe and effective manner, after the required cooling time. The corresponding acceptance criteria of the cooling time for rearranging the spent fuel rods were also found.

  • PDF

Analysis of flow in a open channel with curved section and side branches (측류흐름이 있는 만곡부 흐름의 해석)

  • Park, Jae-Hyeon;Yun, Seong-Yong
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 1992.07a
    • /
    • pp.86-97
    • /
    • 1992
  • 측류취수로와 만곡부가 있는 원형수로를 1:20으로 축척한 모형수로에 대해 수리모형실험을 수행하여 만곡부에서의 유속, 수위와 유황과 같은 수리학적 특성을 살펴보고, 측류취수로가 만곡부에 미치는 영향을 살펴보고자 한다. 도한 모형수로에 대해 ADI방법으로 천수방정식을 수치해석하여 얻은 만곡부에서의 수리학적 특성을 실험에 의한 것과 비교하여 사용된 수치기법으로 검증하였다. 대상이 된 전영역에 대하여 수리모형실험에서 얻어진 유속, 수위와 유황은 수치해석한 결과와 잘 일치한다. 그러나 직각좌표계를 사용함으로서 상대적으로 만곡부에서 단면축소 효과가 발생하므로 수치해석으로 얻어진 유속은 만곡부에서 실험치보다 약간 크게 나타나는데, 이것은 격자간격을 줄이면 개선되리라 판단된다. 수리모형실험과 수치해석 모두 만곡부 외측의 수위가 상승하고 내측의 유속이 빨라지는 만곡부의 특성을 잘 모사하고 있다. 만곡부 직전에 측류취수로가 있을 경우 측류취수로의 영향이 만곡수로내까지 미침을 알 수 있었다.

  • PDF

Efficiency Enhancement of CFDS Code (CFDS 코드의 효율성 개선)

  • Kim J. G.;Lee J.;Kim C.;Hong S. K.;Lee K. S.;Ahn C. S.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2005.04a
    • /
    • pp.123-127
    • /
    • 2005
  • The numerical analyses of the complicated flows are widely attempted in these days. Because of the enormous demanding memory and calculation time, parallel processing is used for these problems. In order to obtain calculation efficiency, it is important to choose proper domain decomposition technique and numerical algorithm. In this research we enhanced the efficiency of the CFDS code developed by ADD, using parallel computation and newly developed numerical algorithms. For the huge amount of data transfer between blocks non-blocking method is used, and newly developed data transfer algorithm is used for non-aligned block interface. Recently developed RoeM scheme is adpoted as a spatial difference method, and AF-ADI and LU-SGS methods are used as a time integration method to enhance the convergence of the code. Analyses of the flows around the ONERA M6 wing and the high angle of attack missile configuration are performed to show the efficiency improvement.

  • PDF