• Title/Summary/Keyword: second-order effects

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IMPLEMENTATION OF A SECOND-ORDER INTERPOLATION SCHEME FOR THE CONVECTIVE TERMS OF A SEMI-IMPLICIT TWO-PHASE FLOW ANALYSIS SOLVER (물-기체 2상 유동 해석을 위한 Semi-Implicit 방법의 대류항에 대한 2차 정확도 확장)

  • Cho, H.K.;Lee, H.D.;Park, I.K.;Jeong, J.J.
    • Journal of computational fluids engineering
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    • v.14 no.4
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    • pp.13-22
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    • 2009
  • A two-phase (gas and liquid) flow analysis solver, named CUPID, has been developed for a realistic simulation of transient two-phase flows in light water nuclear reactor components. In the CUPID solver, a two-fluid three-field model is adopted and the governing equations are solved on unstructured grids for flow analyses in complicated geometries. For the numerical solution scheme, the semi-implicit method of the RELAP5 code, which has been proved to be very stable and accurate for most practical applications of nuclear thermal hydraulics, was used with some modifications for an application to unstructured non-staggered grids. This paper is concerned with the effects of interpolation schemes on the simulation of two-phase flows. In order to stabilize a numerical solution and assure a high numerical accuracy, the second-order upwind scheme is implemented into the CUPID code in the present paper. Some numerical tests have been performed with the implemented scheme and the comparison results between the second-order and first-order upwind schemes are introduced in the present paper. The comparison results among the two interpolation schemes and either the exact solutions or the mesh convergence studies showed the reduced numerical diffusion with the second-order scheme.

Ductile fracture simulation using phase field approach under higher order regime

  • Nitin Khandelwal;Ramachandra A. Murthy
    • Structural Engineering and Mechanics
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    • v.89 no.2
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    • pp.199-211
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    • 2024
  • The loading capacity of engineering structures/components reduces after the initiation and propagation of crack eventually leads to the final failure. Hence, it becomes essential to deal with the crack and its effects at the design and simulation stages itself, by detecting the prone area of the fracture. The phase-field (PF) method has been accepted widely in simulating fracture problems in complex geometries. However, most of the PF methods are formulated with second order continuity theoryinvolving C0 continuity. In the present study, PF method based on fourth-order (i.e., higher order) theory, maintaining C1 continuity has been proposed for ductile fracture simulation. The formulation includes fourth-order derivative terms of phase field variable, varying between 0 and 1. Applications of fourth-order PF theory to ductile fracture simulation resulted in novelty in this area. The proposed formulation is numerically solved using a two-dimensional finite element (FE) framework in 3-layered manner system. The solutions thus obtained from the proposed fourth order theory for different benchmark problems portray the improvement in the accuracy of the numerical results and are well matched with experimental results available in the literature. These results are also compared with second-order PF theory and a comparison study demonstrated the robustness of the proposed model in capturing ductile behaviour close to experimental observations.

Performance-based structural fire design of steel frames using conventional computer software

  • Chan, Y.K.;Iu, C.K.;Chan, S.L.;Albermani, F.G.
    • Steel and Composite Structures
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    • v.10 no.3
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    • pp.207-222
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    • 2010
  • Fire incident in buildings is common, so the fire safety design of the framed structure is imperative, especially for the unprotected or partly protected bare steel frames. However, software for structural fire analysis is not widely available. As a result, the performance-based structural fire design is urged on the basis of using user-friendly and conventional nonlinear computer analysis programs so that engineers do not need to acquire new structural analysis software for structural fire analysis and design. The tool is desired to have the capacity of simulating the different fire scenarios and associated detrimental effects efficiently, which includes second-order P-D and P-d effects and material yielding. Also the nonlinear behaviour of large-scale structure becomes complicated when under fire, and thus its simulation relies on an efficient and effective numerical analysis to cope with intricate nonlinear effects due to fire. To this end, the present fire study utilizes a second-order elastic/plastic analysis software NIDA to predict structural behaviour of bare steel framed structures at elevated temperatures. This fire study considers thermal expansion and material degradation due to heating. Degradation of material strength with increasing temperature is included by a set of temperature-stress-strain curves according to BS5950 Part 8 mainly, which implicitly allows for creep deformation. This finite element stiffness formulation of beam-column elements is derived from the fifth-order PEP element which facilitates the computer modeling by one member per element. The Newton-Raphson method is used in the nonlinear solution procedure in order to trace the nonlinear equilibrium path at specified elevated temperatures. Several numerical and experimental verifications of framed structures are presented and compared against solutions in literature. The proposed method permits engineers to adopt the performance-based structural fire analysis and design using typical second-order nonlinear structural analysis software.

A Study on the Sustainable Effects of Reeducation on Cardiopulmonary Resuscitation on Nurses' Knowledge and Skills (심폐소생술 재교육이 간호사의 지식과 기술에 미치는 지속효과)

  • Oh, Soo-Il;Han, Sang-Sook
    • Journal of Korean Academy of Nursing
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    • v.38 no.3
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    • pp.383-392
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    • 2008
  • Purpose: This study was to analyze the sustainable effects of cardiopulmonary resuscitation (CPR) reeducation on nurses' knowledge and skills. Methods: A repeated experimental design was used for a single sample group of 47 nurses working for a general hospital. The nurses were tested on their skill of CPR 3 times at an interval of 4 m1onths. In order to test nurses' knowledge and skills, the researcher used a CPR assessment program linked to an adult practice doll (Anne). Results: 1) The amount of decrease of nurses' knowledge about CPR between points of time was wide between first and second points of time but small between the second and third time owing to the effects of reeducation between the two points of time. 2) Nurses' skills between the first and second time dropped but they improved between the second and third time owing to the effects of reeducation. Conclusion: As confirmed by the above findings, reeducation of CPR clearly affects nurses' knowledge and skills. Given the fact that the same period of time (4 months) elapsed between the 3 tests, it could be argued that the reeducation at the second test served to maintain nurses' knowledge and enhance their skills.

Theoretical Study of Positronium Atoms Using Frozen Gaussian-type Geminals

  • Takatsuka, Akio;Ten no, Seiichiro
    • Bulletin of the Korean Chemical Society
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    • v.24 no.6
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    • pp.859-863
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    • 2003
  • We report on the theoretical positron affinities of closed-shell atomic anions. The second-order many-body perturbation theory is applied taking the positron-electron interaction as a perturbation. The corrections for the complete basis set effects to the second order affinity are calculated based on the variational and nonvariational energy functionals of explicitly correlated geminals. It is shown that the explicitly correlated methods accelerate the convergence of the expansion significantly giving the account of the cusp behavior outside the orbital space.

Optical Interferometric Characterization of Nonlinear Optical Polymer Thin Films

  • Wu, J.W.
    • Journal of the Korean Vacuum Society
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    • v.7 no.s1
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    • pp.149-155
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    • 1998
  • The linear electro-optic (EO) effect is one of the second-order nonlinear optical effects existing in a noncentrosymmetric macroscopic system. In a polymer thin film, the noncentrosymmetry is achieved by electric field poling. The magnitude of the linear EO response is determined through the orientational distribution function of hyperpolarizable molecular dipoles. The relation between the linear EO coefficient and the second-order nonlinear optical susceptibility is explained. Three different methods of measuring the linear EO coefficient of a poled nonliner optical polymer thin film are introduced and discussed. All of them make use of the interferometric technique, the difference being in the optical parameters which are interfering.

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HAMILTONIAN OF A SECOND ORDER TWO-LAYER EARTH MODEL

  • Selim, H.H.
    • Journal of The Korean Astronomical Society
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    • v.40 no.2
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    • pp.49-60
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    • 2007
  • This paper deals with the theory for rotational motion of a two-layer Earth model (an inelastic mantle and liquid core) including the dissipation in the mantle-core boundary(CMB) along with tidal effects produced by Moon and Sun. An analytical solution being derived using Hori's perturbation technique at a second order Hamiltonian. Numerical nutation series will be deduced from the theory.

The $Schl\ddot{o}gl$ Model with the Second Order Transition Under the Influence of a Singular Multiplicative Random Force

  • Kyoung-Ran Kim;Dong J. Lee;Cheol-Ju Kim;Kook Joe Shin
    • Bulletin of the Korean Chemical Society
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    • v.15 no.8
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    • pp.631-636
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    • 1994
  • For the Schlogl model with the second order transition under the influence of the multiplicative noise singular at the unstable steady state, the detailed discussions are presented for various kinds of stochastic phenomena, suchas the effects of parameters on stationary probability distribution, noise-induced phase transitions and escape rate.

Design of the Discrete Compensator for Arbitrary Steady-State Response Using the Effects of Zero Location in Second-Order Discrete Systems (이차 이산 시스템에서 영점의 위치의 영향을 이용한 임의의 정상상태 응답을 위한 이산 보상저의 설계)

  • Lee, Jae-Seok;Chung, Tae-Sang
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.382-386
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    • 2002
  • The damping ratio $\zeta$ of the unit-step response of a second-order discrete system is a function of only the location of the closed-loop poles and is not directly related to the location of the system zero. However, the peak overshoot of the response is the function of both the damping ratio $\zeta$ and an angle $\alpha$, which is the phasor angle of the damped sinusoidal response and is determined by the relative location of the zero with respect to the closed-loop poles. Accordingly, when the closed-loop system poles are fixed, the peak overshoot is considered as a function of the angle $\alpha$ or the system zero location. In this paper the effects of the relative location of the zero on the system performance of a second-order discrete system is studied, and a design method of digital compensator which achieves arbitrary steady-state response with minimum peak overshoot while maintaining the desired system mode and the damping ratio of the unit step response is presented.

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A Second-Order Analysis of VM Heat Pumps (VM열펌프의 2차해석)

  • Choi, Y.S.;Jeong, E.S.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.8 no.2
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    • pp.208-218
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    • 1996
  • Performance of a VM heat pump is considerably affected by various losses, such as enthalpy dump, reheat loss, pumping loss, conduction loss and shuttle loss. A second-order analysis model of VM heat pumps, which allows consideration of the major losses, was presented. Actual heat transfer rates for heat exchangers were calculated from the heat transfer rates obtained by the adiabatic analysis and various losses. New effective temperatures of heat exchangers were calculated from the actual heat transfer rates and the mean heat transfer coefficients until there was no appreciable change in the effective temperatures. Effects of design parameters, such as phase angle, swept volume ratio, regenerator length and speed on heating capacity, cooling capacity and COP were shown.

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