• Title/Summary/Keyword: Preconditioning Method

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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
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    • v.27 no.8
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    • pp.1122-1133
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    • 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.

Cardioprotective Efficacy of Ischemic Preconditioning on Long-Term Myocardial Preservation in Isolated Rat Heart (적출 쥐 심장에서 장시간의 심장보존시 허혈성 전조건화가 심근보호에 미치는 영향)

  • 허동명;장봉현
    • Journal of Chest Surgery
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    • v.33 no.8
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    • pp.605-612
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    • 2000
  • Background: Ischemic preconditioning enhances the tolerance of myocardium against ischemia/reperfusion injury, with the enhancement of the recovery of post-ischemic myocardial function. This study was disigned to assess whether the protective effect of ischemic preconditioning could provide one additional hour of myocardial preservation in four hour myocardial ischemia in a rate heart. Material and method: Fourty four Spargue-Dawley rats, weighing 300~450gm, were divided into four groups. Group 1(n=7) and group 3(n=12) were subjected to 30 minutes of aerobic Langendorff perfusion without ischemic preconditioning and then preserved in saline solution at 2~4$^{\circ}C$ for 4 hours and 5 respectively. Group 2(n=7) and group 4(n=18) were perfused in the same way for 20 minutes, followed by 3 minutes of global mormothermic ischemia and 10 minutes of perfusion and then preserved in the same cold saline solution for 4 hours and 5 hours respectively. Heart rate, left ventricular developed pressure(LVDP), and coronary flow were measured at 15 minutes during perfusion as baseline. Spontaneous defibrillation time was measured after reperfusion. Heart rate, LVDP, and coronary flow were also recorded at 15 minutes, 30 minutes, and 45 minutes during reperfusion. Samples of the apical left ventricular wall were studied using a transmission electron microscope. Result: Time of spontaneous defibrillation(TSD) was significantly longer in group 4 than in group 1(p<0.001), and TSD in group 1 was significantly longer in comparision to that of group 2(p<0.05). Heart rate at 45 minutes was significantly higher in group 1 than in group 4(p<0.05). Heart rate at 15 min was significantly higher in group 2 than in group 1(p<0.001) and in group 4 than in group 3(p<0.05). Left ventricular developed pressure(LVDP) at 30 minutes and 45 minutes was higher in group 1 than in group 4(p<0.01), LVDP at 45 minutes was higher in group 4 than in group 3(p<0.05). Rate-pressure product(RPP) at 30 minutes and 45 minutes was higher in group 1 than in group 4(p<0.05). RPP at 15 minutes was higher in group 2 than in group 1(p<0.01). RPP at 30 minutes and 45 minutes was higher in group 4 than in group 3(p<0.05). Group 2 showed relatively less sarcoplasmic edema and less nuclear chromatin clearance than group 1. Group 4 showed less myocardial cell damage than group 3, group 4 showed less myocardial cell damage than group 3, group 4 showed more myocardial cell edema than group 1. Conclusion: Ischemic preconditioning enhanced the recovery of postischemic myocardial function after 4 hours and 5 hours preservation. However, it was not demonstrated that ischemic preconditioning could definitely provide one additional hour of myocardial preservation in four hour myocardial ischemia in a rat heart.

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An Incompressible Flow Computation by a Hierarchical Iterative and a Modified Residual Method (계층적 반복과 수정 잔여치법에 의한 비압축성 유동 계산)

  • Kim J. W.
    • Journal of computational fluids engineering
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    • v.9 no.3
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    • pp.57-65
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    • 2004
  • The incompressible Navier-Stokes equations in two dimensions are stabilized by a modified residual method, and then discretized by hierarchical elements. The stabilization is necessary to escape from the Ladyzhenskaya-Babuska-Brezzi(LBB) constraint and hence to achieve an equal order formulation. To expedite a standard iterative method such as the conjugate gradient squared(CGS) method, a preconditioning technique called the Hierarchical Iterative Procedure(HIP) has been applied. In this paper, we increased the order of interpolation within an element up to cubic. The hierarchical elements have been used to achieve a higher order accuracy in fluid flow analyses, but a proper efficient iterative procedure for higher order finite element formulation has not been available so far The numerical results by the present HIP for the lid driven cavity flow and others showed the present procedure to be stable, very efficient and useful in flow analyses in conjunction with hierarchical elements.

An iterative method for damage identification of skeletal structures utilizing biconjugate gradient method and reduction of search space

  • Sotoudehnia, Ebrahim;Shahabian, Farzad;Sani, Ahmad Aftabi
    • Smart Structures and Systems
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    • v.23 no.1
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    • pp.45-60
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    • 2019
  • This paper is devoted to proposing a new approach for damage detection of structures. In this technique, the biconjugate gradient method (BCG) is employed. To remedy the noise effects, a new preconditioning algorithm is applied. The proposed preconditioner matrix significantly reduces the condition number of the system. Moreover, based on the characteristics of the damage vector, a new direct search algorithm is employed to increase the efficiency of the suggested damage detection scheme by reducing the number of unknowns. To corroborate the high efficiency and capability of the presented strategy, it is applied for estimating the severity and location of damage in the well-known 31-member and 52-member trusses. For damage detection of these trusses, the time history responses are measured by a limited number of sensors. The results of numerical examples reveal high accuracy and robustness of the proposed method.

Enact of Ischemic Preconditioning on Myocardial Protection A Comparative Study between Normothermic and Moderate Hypothermic Ischemic Hearts Induced by Cardioplegia in Rats - (허혈 전처치가 심근보호에 미치는 영향 -적출 쥐 심장에서 상온에서의 심근허혈과 중등도 제체온하에서 심근정지액 사용 시의 비교 연구-)

  • 조성준;황재준;김학제
    • Journal of Chest Surgery
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    • v.36 no.4
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    • pp.242-254
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    • 2003
  • Most of the studies conducted have investigated the beneficial effects of ischemic preconditioning on normothermic myocardial ischemia. However, the effect of preconditioning could be attenuated through the use of multidose cold cardioplegia as practiced in contemporary clinical heart surgical procedures. The purpose of this study was to investigate whether preconditioning improves postischemic cardiac function in a model of 25℃ moderate hypothermic ischemic heart induced by cold cardioplegia in isolated rat hearts. Material and Method: The isolated Sprague-Dawley rat hearts were randomly assigned to four groups. All hearts were perfused at 37℃ for 20 minutes with Krebs-Henseleit solution before the baseline hemodynamic data were obtained. Group 1 consisted of preconditioned hearts that received 3 minutes of global ischemic preconditioning at 37℃, followed by 5 minutes of reperfusion before 120 minutes of cardioplegic arrest (n=6). Cold (4℃) St. Thomas Hospital cardioplegia solution was infused to induce cardioplegic arrest. Maintaining the heart at 25℃, infusion of the cardioplegia solution was repeated every 20 minutes throughout the 120 minutes of ischemic period. Group 2 consisted of control hearts that underwent no manipulations between the periods of equilibrium and 120 minutes of cardioplegic arrest (n=6). After 2 hours of cardioplegic arrest, Krebs solution was infused and hemodynamic data were obtained for 30 minutes (group 1, 2: cold cardioplegia group). Group 3 received two episodes of ischemic preconditioning before 30 min of 37℃ normothermic ischemia and 30 minutes of reperfusion (n=6). Group 4 served as ischemic controls for group 3 (group 3, 4: warm ischemia group). Result: Preconditioning did not influence parameters such as left ventricular systolic pressure (LVSP), left ventricular end-diastolic pressure (LVEDP), rate-pressure product (RPP) and left ventricular dp/dt (LV dp/dt) in the cold cardioplegia group. (p=NS) However, preconditioning before warm ischemia attenuated the ischemia induced cardiac dysfunction, improving the LVSP, LVEDP, RPP, and LVdp/dt. Less leakage of CPK and LDH were observed in the ischemic preconditioning group compared to the control group (p<0.05). Conclusion: Ischemic preconditioning improved postischemic cardiac function after warm ischemia, but did not protect cold cardioplegic hearts.

Effect of Ischemic Preconditioning on Myocardial Protection - A Comparative Study between Normothermic and Moderate Hypothermic Ischemic Hearts Induced by Cardioplegia in Rats - (허혈 전처치가 심근보호에 미치는 영향 - 적출 쥐 심장에서 상온에서의 심근허혈과 중등도 저체온하에서 심근정지액 사용 시의 비교 연구 -)

  • 조성준;황재준;김학제
    • Journal of Chest Surgery
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    • v.36 no.5
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    • pp.242-254
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    • 2003
  • Background: Most of the studies conducted have investigated the beneficial effects of ischemic preconditioning on normothermic myocardial ischemia. However, the effect of preconditioning could be attenuated through the use of multidose cold cardioplegia as practiced in contemporary clinical heart surgical procedures. The purpose of this study was to investigate whether preconditioning improves postischemic cardiac function in a model of $25^{\circ}C$ moderate hypothermic ischemic heart induced by cold cardioplegia in isolated rat hearts. Material and Method: The isolated Sprague-Dawley rat hearts were randomly assigned to four groups All hearts were perfused at 37$^{\circ}C$ for 20 minutes with Krebs-Henseleit solution before the baseline hemodynamic data were obtained, Group 1 consisted of preconditioned hearts that received 3 minutes of global ischemic preconditioning at 37$^{\circ}C$, followed by 5 minutes of reperfusion before 120 minutes of cardioplegic arrest (n=6). Cold (4$^{\circ}C$) St. Thomas Hospital cardioplegia solution was infused to induce cardioplegic arrest. Maintaining the heart at $25^{\circ}C$, infusion of the cardioplegia solution was repeated every 20 minutes throughout the 120 minutes of ischemic period. Group 2 consisted of control hearts that underwent no manipulations between the periods of equilibrium and 120 minutes of cardioplegic arrest (n=6). After 2 hours of cardioplegic arrest, Krebs solution was infused and hemodynamic data were obtained for 30 minuts (group 1, 2: cold cardioplegia group). Group 3 received two episodes of ischemic preconditioning before 30 min of 37$^{\circ}C$ normothermic ischemia and 30 minutes of reperfusion (n=6) Group 4 soloed as ischemic controls for group 3 (group 3, 4: warm ischemia group). Result: Preconditioning did not influence parameters such as left ventricular systolic pressure (LVSP), left ventricular end-diastolic pressure (LVEDP), rate-pressure product (RPP) and left ventricular dp/dt (LV dp/dt) in the cold cardioplegia group. (p=NS) However, preconditioning before warm ischemia attenuated the ischemia induced cardiac dysfunction, Improving the LVSP, LVEDP, RPP, and LV dp/dt. Less leakage of CPK and LDH were observed in the ischemic preconditioning group compared to the control group (p<0.05). Conclusion: Ischemic preconditioning improved postischemic cardiac function after warm ischemia, but did not protect cold cardioplegic hearts.

A High Resolution Scheme for Cavitating Flow

  • Shin B. R.;Oh S. J.;Obayashi S.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.10a
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    • pp.169-177
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    • 2005
  • A high resolution scheme for solving gas-liquid two-phase flows with cavitation is described. This scheme uses the curvilinear coordinate grid and solves the density based momentum equations for mixture of gas-liquid medium with a preconditioning method to treat both compressible and incompressible flow characteristics. The present preconditioned method is based on the Runge-Kutta explicit finite-difference scheme, and is improved by using the diagonalization, the flux difference splitting and the MUSCL-TVD schemes to save computational effort and to increase stability and resolvability, especially at gas-liquid contact surfaces. A homogeneous equilibrium cavitation model is used to treat the gas-liquid two-phase medium in cavitating flow as a locally homogeneous pseudo-single-phase medium. Therefore, it is easy to solve cavitating flow, including wave propagation, large density changes and incompressible flow characteristic at low Mach number. Some numerical results obtained by the present scheme are shown.

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The analysis of flow over the bridge using preconditioned Navier-Stokes code (예조건화 Navier-Stokes 코드를 이용한 교각 유동해석)

  • Yoo, Il-Yong;Lee, Seung-Soo;Park, Si-Hyong
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.13-16
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    • 2008
  • After the collapse of the Tacoma bay bridge at Tacoma Washington, the accurate prediction of aerodynamics became crucial to the sound design of bridges. CFD(Computational Fluid Dynamics) becomes important tool for the prediction on wind effects on the bridge due to the recent development of CFD. The usage of CFD is further prompted by the advantages in using CFD, such as low-cost and fast feed-back of design. In this paper, an unsteady compressible Reynolds averaged Navier-Stokes code is used for the computation of the flow over bridges. Coakley's ��q-${\omega}$ �� two-equation turbulence model is used for the turbulent eddy viscosity. For accurate and stable computations, the local preconditioning method is adapted to the code. Aerodynamic characteristics of a couple bridges are presented to show the validity and the accuracy of the method.

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SIMULATION OF THE DESIGN METHODOLOGY FOR HIGH PERFORMANCE AND EFFICIENT CAVITATOR (측류유동을 고려한 실린더 주위의 캐비테이션 유동 현상 해석)

  • Lee, B.W.;Park, S.I.;Park, W.G.;Lee, K.C.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.177-184
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    • 2009
  • Cavitating flow simulation is of practical importance for many engineering systems, such as marine propellers, pump impellers, nozzles, injectors, torpedoes, etc. The present work has focused on the simulation of cavitating flow past cylinders with strong side flows. The governing equation is the Navier-Stokes equation based on the homogeneous mixture model. The momentum and energy equation is in the mixture phase while the continuity equation is solved liquid and vapor phase, separately. An implicit dual time and preconditioning method are employed for computational analysis. For the code validation, the results from the present solver have been compared with experiments and other numerical results. A fairly good agreement with the experimental data and other numerical results have been obtained. After the code validation, the strong side flow was applied to include the wake flow effects of the submarine or ocean tide.

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