• 제목/요약/키워드: preconditioning

검색결과 261건 처리시간 0.055초

가로세로비가 큰 격자에서 국소 예조건화 기법의 정확성 및 수렴성 (ACCURACY AND CONVERGENCE OF THE LOCAL PRECONDITIONING ON THE HIGH ASPECT RATIO GRIDS)

  • 이재은;김윤식;권장혁
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.269-276
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    • 2009
  • The local preconditioning method has both robust convergence and accurate solutions by using local flow properties for parameters in the preconditioning matrix. Preconditioning methods have been very effective to low speed inviscid flows. In the viscous and turbulent flows, deterioration of convergence should be overcame on the high aspect ratio grids to get better convergence and accuracy. In the present study, the local time stepping and min-CFL/max-VNN definitions are applied to compare the results and we propose the method that switches between two methods. The min-CFL definition is applied for inviscid flow problems and the min-CFL/max-VNN definition is implemented to viscous and turbulent flow problems.

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ERROR REDUCTION FOR HIGHER DERIVATIVES OF CHEBYSHEV COLLOCATION METHOD USING PRECONDITIONSING AND DOMAIN DECOMPOSITION

  • Darvishi, M.T.;Ghoreishi, F.
    • Journal of applied mathematics & informatics
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    • 제6권2호
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    • pp.523-538
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    • 1999
  • A new preconditioning method is investigated to reduce the roundoff error in computing derivatives using Chebyshev col-location methods(CCM). Using this preconditioning causes ration of roundoff error of preconditioning method and CCm becomes small when N gets large. Also for accuracy enhancement of differentiation we use a domain decomposition approach. Error analysis shows that for this domain decomposition method error reduces proportional to the length of subintervals. Numerical results show that using domain decomposition and preconditioning simultaneously gives super accu-rate approximate values for first derivative of the function and good approximate values for moderately high derivatives.

저속 유동 계산의 수렴성 개선을 위한 온도예조건화 I: 오일러 방정식 (Temperature Preconditioning for Improving Convergence Characteristics in Calculating Low Mach Number Flows, I: Euler Equations)

  • 이상현
    • 한국항공우주학회지
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    • 제35권12호
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    • pp.1067-1074
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    • 2007
  • 예조건화 오일러 방정식의 수렴특성을 개선하기 위하여 밀도에 대한 온도의 미분항의 크기를 조절하는 온도예조건화 방법을 제시하고자 한다. 다양한 마하수의 원형 턱이 있는 이차원 관내 유동을 계산하였다. 온도예조건화에 맞는 새로운 Roe의 FDS 기법의 수치 소산항을 유도하여 사용하였다. 온도예조건화는 예조건화 오일러 방정식의 수렴 속도를 증가시키는 것으로 나타났다

저속 압축성 유동에 대한 국소 예조건화 기법 적용 연구 (A Study of Local Preconditioning Method for Compressible Low Speed Flows)

  • 류세현;이승수;김범수
    • 한국군사과학기술학회지
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    • 제9권2호
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    • pp.152-160
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    • 2006
  • Time marching methods are well-suited for high speed compressible flow computations. However, it is well known that the time marching methods suffer a slow down in convergence due to disparity in Eigenvalues. A local preconditioning method is one of numerical methods to enhance convergence characteristics of low mach number flows by modifying Eigenvalues of the governing equations. In this paper, the local preconditioning method of Weiss is applied to a 2 dimensional Navier-Stokes code and the efficiency of the preconditioning method is shown through a number of computational examples.

적출 쥐 심장에서 허혈성 전조건화가 심정지후 좌심실 기능에 미치는 영향 (Effect of ischemic preconditioning on left ventricular function after cardiac arrest in isoated rat heart)

  • 조대윤
    • Journal of Chest Surgery
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    • 제27권7호
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    • pp.563-570
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    • 1994
  • Effect of ischemic preconditioning on left ventricular function after cardiac arrest in isolated rat heart.Ischemic preconditioning reduces infarct size caused by sustained ischemia. However, the effects of preconditioning on post ischemic cardiac function are not well-known. The objective of the present study was to determine whether preconditioning would improve the recovery of left ventricular functions after cardiac arrest in isolated rat heart model.Isolated rat hearts were allowed to equilibrate for 20 minutes and were then subjected to either 5 minutes of global, normothermic transient ischemia [Group 2 and 4] or not [Group 3]. A stabilization period of perfusion lasting 5 minutes after the termination of transient ischemia was followed by a standard global, normothermic 20 minute-ischemia and 35-minute reperfusion challenge [Group 3 and 4]. These following results were odtained.1. The recovery of left ventricular developed pressures showed no significant differences between Group 3 and Group 4 at 50 [P>0.3] and 85 minute [P>0.2].2. Heart rates showed no significant differences throughout all the course of experiment and between groups [P>0.5].3. The recovery of left ventricular maximum dP/dt showed no significant differences between Group 3 and Group 4 at 50 [P>0.1] and 85 minute [P>0.2].4. The recovery of pressure-rate products showed no significant differences between Group3 and Group 4 at 50 [P>0.5] and 85 minute [P>0.1].These results suggest that ischemic preconditioning does not provide significant benefit for the postischemic left ventricular functions in isolated rat hearts.

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Effects of Ischemic Preconditioning of Different Intraoperative Ischemic Times of Vascularized Bone Graft Rabbit Models

  • Halim, Ahmad Sukari;Wan Ahmad Kamal, Wan Syazli Rodzaian;Noor, Norizal Mohd;Abdullah, Shafie
    • Archives of Plastic Surgery
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    • 제40권6호
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    • pp.687-696
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    • 2013
  • Background Ischemic preconditioning has been shown to improve the outcomes of hypoxic tolerance of the heart, brain, lung, liver, jejunum, skin, and muscle tissues. However, to date, no report of ischemic preconditioning on vascularized bone grafts has been published. Methods Sixteen rabbits were divided into four groups with ischemic times of 2, 6, 14, and 18 hours. Half of the rabbits in each group underwent ischemic preconditioning. The osteomyocutaneous flaps consisted of the tibia bone, from which the overlying muscle and skin were raised. The technique of ischemic preconditioning involved applying a vascular clamp to the pedicle for 3 cycles of 10 minutes each. The rabbits then underwent serial plain radiography and computed tomography imaging on the first, second, fourth, and sixth postoperative weeks. Following this, all of the rabbits were sacrificed and histological examinations were performed. Results The results showed that for clinical analysis of the skin flaps and bone grafts, the preconditioned groups showed better survivability. In the plain radiographs, except for two non-preconditioned rabbits with intraoperative ischemic times of 6 hours, all began to show early callus formation at the fourth week. The computed tomography findings showed more callus formation in the preconditioned groups for all of the ischemic times except for the 18- hour group. The histological findings correlated with the radiological findings. There was no statistical significance in the difference between the two groups. Conclusions In conclusion, ischemic preconditioning improved the survivability of skin flaps and increased callus formation during the healing process of vascularized bone grafts.

NO 억제제가 허혈전처치의 심장 보호효과에 미치는 영향 (Effect of Inhibitor of Nitric Oxide Synthesis on the Ischemic Reconditioning in Isolated Heart of Rat.)

  • 유호진;조은용
    • Journal of Chest Surgery
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    • 제29권8호
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    • pp.807-815
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    • 1996
  • 허혈전처치(ischemic preconditioniiIE)의 허혈심장 보호효과와 그 기전을 규명하기 위한 일환으로 citric oxide(HO)가 허혈전처치의 심보호 효과에 미치는 영향을 검토하였다. 흰쥐 적출심장의 Langendorrr관류표본에서 실험적인 허할(30분)-재관류(30분) 손상을 유도하였고, 허혈전처치는 재관류손상 유도 전에 5분 허혈 - 5분 재관류를 3회 반복하여 시행하였다. 허혈심근 손상의 지표로 심수축기능 세질효소 유출 및 미세형태학적 변화를, 그리고 HO 합성 억제제인 L-HAME 를 투여하여 허혈전처치와 비전처치 허혈-재관류 심장들에서 손상의 정도를 비교하였다. 그 결과 허혈- 재관류 심장에서 심기능의 저하및 세포질 유출이 현저하게 증가하였고 전자현미경상의 미세구조에서도 세포내 소기관 및 myofibril의 파괴가 관찰되 어 심근손상이 심함을 알 수 있었다. 허 혈-재관류에 의한 심 장손상은 허혈전처치를 시행한 허혈-재관류 심장에서는 현격하게 감소돼 심회복률이 77%로 증가하였 고 세포질유출도 현저하게 감소되었으며 미세소견에서도 세포구조가 비교적 잘 보존되었다. 허혈전처 치에 의한 심보호 효과에 NO가 관여하는지를 관찰하기 위하여 NO합성 억제제인 L-NAME를 투여하 여 허혈전처치를 시행하였다. 결과 L-UAME투여로 허혈전처치에 의하여 회복된 심기능 및 LDH유출 감소에 아무런 영향을 주지 않았고 허혈전처치에 의하여 비교적 잘 보존된 미세구조 역시 영향을 받지 않았다. 이상의 결과들로부터 허혈전처치는 세포수준에서 허혈심근의 재관류손상을 방지하며, NO합성의 증가가 횐쥐 적출 심장에서 허혈전처치에 의한 허혈심장 보호효과에 크게 기여하지 않을 것으로 사료되었다.

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Preconditioning technique for a simultaneous solution to wind-membrane interaction

  • Sun, Fang-jin;Gu, Ming
    • Wind and Structures
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    • 제22권3호
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    • pp.349-368
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    • 2016
  • A preconditioning technique is presented for a simultaneous solution to wind-membrane interaction. In the simultaneous equations, a linear elastic model was employed to deal with the fluid-structure data transfer at the interface. A Lagrange multiplier was introduced to impose the specified boundary conditions at the interface and strongly coupled simultaneous equations are derived after space and time discretization. An initial linear elastic model preconditioner and modified one were derived by treating the linearized elastic model equation as a saddle point problem, respectively. Accordingly, initial and modified fluid-structure interaction (FSI) preconditioner for the simultaneous equations were derived based on the initial and modified linear elastic model preconditioners, respectively. Wind-membrane interaction analysis by the proposed preconditioners, for two and three dimensional membranous structures respectively, was performed. Comparison was made between the performance of initial and modified preconditioners by comparing parameters such as iteration numbers, relative residuals and convergence in FSI computation. The results show that the proposed preconditioning technique greatly improves calculation accuracy and efficiency. The priority of the modified FSI preconditioner is verified. The proposed preconditioning technique provides an efficient solution procedure and paves the way for practical application of simultaneous solution for wind-structure interaction computation.

PRECONDITIONED KACZMARZ-EXTENDED ALGORITHM WITH RELAXATION PARAMETERS

  • Popa, Constantin
    • Journal of applied mathematics & informatics
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    • 제6권3호
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    • pp.757-770
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    • 1999
  • We analyse in this paper the possibility of using preconditioning techniques as for square non-singular systems, also in the case of inconsistent least-squares problems. We find conditions in which the minimal norm solution of the preconditioned least-wquares problem equals that of the original prblem. We also find conditions such that thd Kaczmarz-Extendid algorithm with relaxation parameters (analysed by the author in [4]), cna be adapted to the preconditioned least-squares problem. In the last section of the paper we present numerical experiments, with two variants of preconditioning, applied to an inconsistent linear least-squares model probelm.

이중 시간전진법과 Preconditioning을 이용한 저속의 압축성유동에 대한 비정상 해석기법 (Time accurate method for low speed compressible flows using dual time stepping and preconditioning procedure)

  • 최윤호;강신형
    • 대한기계학회논문집B
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    • 제22권6호
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    • pp.788-802
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    • 1998
  • A numerical method using dual time stepping and preconditioning procedure for efficient computations of unsteady low speed compressible flow problems is developed. The time-derivative preconditioning method which is valid at low speed flow conditions cannot maintain temporal accuracy because of the modification of the time-derivative term in Navier-Stokes equations. The dual time stepping procedure is incorporated to enable the time accurate computations and this procedure introduces a pseudo-time derivative in addition to the physical time derivative. At a given physical time, an inner iteration can be carried out until a steady state in pseudo-time is achieved. This will effectively yield a time accurate solution. Computational capabilities of the above algorithm are demonstrated through computation of a variety of practical fluid flows and it is shown that the algorithms is efficient in the essentially incompressible flows and low Mach number compressible flows with heat source.