• Title/Summary/Keyword: free-free condition

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A Numerical Method for a High-Speed Ship with a Transom Stern

  • Kyoung Jo-Hyun;Bai Kwang-June
    • Journal of Ship and Ocean Technology
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    • v.8 no.3
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    • pp.8-17
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    • 2004
  • A numerical method is developed for computing the free surface flows around a transom stern of a ship at a high Froude number. At high speed, the flow may be detached from the flat transom stern. In the limit of the high Froude number, the problem becomes a planning problem. In the present study, we make the finite-element computations for a transom stern flows around a wedge-shaped floating ship. The numerical method is based on the Hamilton's principle. The problem is formulated as an initial value problem with nonlinear free surface conditions. In the numerical procedures, the domain was discretized into a set of finite elements and the numerical quadrature was used for the functional equation. The time integrations of the nonlinear free surface condition are made iteratively at each time step. A set of large algebraic equations is solved by GMRES(Generalized Minimal RESidual, Saad and Schultz 1986) method which is proven very efficient. The computed results are compared with previous numerical results obtained by others.

Wave Generation with a Hydrofoil by More Efficient Free-Surface Boundary Condition (고효율 자유표면 경계조건에 의한 수중익 주위의 파도생성)

  • Kwag, S.H.
    • Journal of Korean Port Research
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    • v.12 no.1
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    • pp.87-93
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    • 1998
  • For the calculation of the free-surface elevation, a new finite difference scheme is studied where the third derivative term for the wave elevation is artificially added in the Eulerian expression of the free-surface boundary condition. The paper presents a comparative analysis with simulations performed by the classical MAC method. More schematic computations are carried out by changing the submergence-depth and angle-of-attack. The present study shows that this new method is very efficient for the simulation of free-surface elevation around the trailing edge.

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Changes of Free Amino Acid and Free Sugar Contents in Barley Seedlings in Response to Anaerobic or Cold Treatment (혐기 또는 저온처리에 따른 보리 유식물체내 유리아미노산 및 유리산 함량의 변화)

  • 윤성중;유남희
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.41 no.2
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    • pp.139-144
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    • 1996
  • Effects of anaerobic, mechenical wounding and cold treatments on free amino acid and free sugar contents were examined in 7 day-old barley seedlings. In barley shoots under anaerobic condition, drastic changes in free amino acid content were observed. Alanine, ${\gamma}$-aminobutyric aicd(GABA) and glutamic acid contents changed most prominantly. Alanine and GABA contents increased rapidly with incubation time up to 10 hr. Glutamic acid content, however, decreased drastically during the first 5 hr of incubation, then increased thereafter. Barley shoots showed similar but smaller changes in amino aicd contents in response to mechanical wounding. GABA content increased in shoots and roots in response to the cold treatment. But increase in GABA content was greater in anaerobic than cold treatment. In anaerobically treated shoots, changes in free sugar content were less prominant than those in amino acid content. Sucrose content changed relatively larger than glucose and fructose contents in excised shoots.

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Computation of Turbulent Flow around a Ship Model with Free-Surface (자유표면을 포함한 선체주위 난류유동 해석)

  • Jung-Joong Kim;Hyoung-Tae Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.1
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    • pp.1-8
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    • 2001
  • The computations of the turbulent flow around the ship models with the free-surface effects were carried out. Incompressible Reynolds-Averaged Navier-Stokes equations were solved by using an explicit finite-difference method with the nonstaggered grid system. The method employed second-order finite differences for the spatial discretization and a four-stage Runge-Kutta scheme for the temporal integration. For the turbulence closure, a modified Baldwin-Lomax model was exploited. The location of the free surface was determined by solving the equation of the kinematic free-surface condition using the Lax-Wendroff scheme and a free-surface conforming grid was generated at each time step so that one of the grid boundary surfaces always coincides with the free surface. An inviscid approximation of the dynamic free-surface boundary condition was applied as the boundary conditions for the velocity and pressure on the free surface. To validate the computational method developed in the present study, the computations were carried out for beth Wigley and Series 60 $C_B=0.6$ ship model and the computational results showed good agreements with the experimental data.

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The deformation of a free surface due to the impact of a water droplet

  • Kwon, Sun-Hong;Park, Chang-Woo;Lee, Seung-Hun;Shin, Jae-Young;Choi, Young-Myung;Chung, Jang-Young;Isshiki, Hiroshi
    • International Journal of Ocean System Engineering
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    • v.1 no.1
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    • pp.28-31
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    • 2011
  • An attempt was made to compute the free surface deformation due to the impact of a water droplet. The Cauchy Poisson, i.e. the initial value problem, was solved with the kinematic and dynamic free surface boundary conditions linearized. The zero order Hankel transformation and Laplace transform were applied to the related equations. The initial condition for the free surface profile was derived from a captured video image. The effect of the surface tension was not significant with the water mass used in this investigation. The computed and observed free surface deformations were compared.

Simulation of Turbulent Flow and Surface Wave Fields around Series 60 $C_B$=0.6 Ship Model

  • Kim, Hyoung-Tae;Kim, Jung-Joong
    • Journal of Ship and Ocean Technology
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    • v.5 no.1
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    • pp.38-54
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    • 2001
  • A finite difference method for calculating turbulent flow and surface wave fields around a ship model is evaluated through the comparison with the experimental data of a Series 60 $C_B$=0.6 ship model. The method solves the Reynolds-averaged Navior-Stokes Equations using the non-staggered grid system, the four-stage Runge-Kutta scheme for the temporal integration of governing equations and the Bladwin-Lomax model for the turbulence closure. The free surface waves are captured by solving the equation of the kinematic free-surface condition using the Lax-Wendroff scheme and free-surface conforming grids are generated at each time step so that one of the grid surfaces coincides always with the free surface. The computational results show an overall close agreement with the experimental data and verify that the present method can simulate well the turbulent boundary layers and wakes as well as the free-surface waves.

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CONSECUTIVE CANCELLATIONS IN FILTERED FREE RESOLUTIONS

  • Sharifan, Leila
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.1077-1097
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    • 2019
  • Let M be a finitely generated module over a regular local ring (R, n). We will fix an n-stable filtration for M and show that the minimal free resolution of M can be obtained from any filtered free resolution of M by zero and negative consecutive cancellations. This result is analogous to [10, Theorem 3.1] in the more general context of filtered free resolutions. Taking advantage of this generality, we will study resolutions obtained by the mapping cone technique and find a sufficient condition for the minimality of such resolutions. Next, we give another application in the graded setting. We show that for a monomial order ${\sigma}$, Betti numbers of I are obtained from those of $LT_{\sigma}(I)$ by so-called zero ${\sigma}$-consecutive cancellations. This provides a stronger version of the well-known cancellation "cancellation principle" between the resolution of a graded ideal and that of its leading term ideal, in terms of filtrations defined by monomial orders.

Effects of Weed Interference and Starter Fertilizer on Subsequent Seed Germination and Vigour of Soybean (Glycine max [L.] Merr.)

  • Mohammadi, G.R.;Amiri, F.
    • Korean Journal of Weed Science
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    • v.32 no.1
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    • pp.17-24
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    • 2012
  • The study was conducted to investigate the effect of weed interference and starter fertilizer on subsequent soybean seed quality at the Agricultural Research Farm and Laboratory of Razi University, Kermanshah, Iran. Two factorial experiment was laid-outon a randomized complete block design with four replications. First factor was starter fertilizer levels (0 and 25 kg $ha^{-1}$) applied in the forms of monoammonium phosphate, the second factor was different weed interference periods consisted of five initial weed-free periods (in which, plots were kept free of weeds for 0, 15, 30, 45 and 60 days after crop emergence (DAE) and then weeds were allowed to grow until harvest) and five initial weed-infested periods (in which, weeds were allowed to grow for 0, 15, 30, 45 and 60DAE, after which the plots were kept free of weeds until harvest). Full season weedy condition reduced 100-seed weight, seed germination percentage and seedling dry weight by 25.9, 13.3 and 22.5%, respectively and increased mean germination time and seed electrical conductivity by 55.8 and 24.3%, respectively as compared with full season weed-free control. However, the traits under study were not significantly influenced when field was kept free of weeds for at least 45 DAE (R1) or weedy condition was continued for less than 30 DAE (V8). There was a significant and negative correlation between weed biomass and seed weight (r = -0.93), so that when weed free condition was less than 45 DAE or weed infested period was continued for at least 30 DAE, soybean plants produced wrinkled and underdeveloped seeds with lower weights and qualities. Moreover, soybean seed quality reduction due to weed interference was more evident when starter fertilizer was applied and weeds interfered with soybean from the beginning of the growing season. Information from the present study is beneficial in soybean seed production systems and where farmers use the harvested seeds for the following planting.

Analysis of Steady Flow Around a Two-Dimensional Body Under the Free Surface Using B-Spline Based Higher Order Panel Method (B-Spline 기저 고차경계요소법에 의한 자유수면하의 2차원 물체주위 유동해석)

  • Jae-Moon Lew;Yang-Ik Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.1
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    • pp.8-15
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    • 2002
  • A two-dimensional higher order panel method using B-splines has been developed to overcome the disadvantages of the low order panel method and to obtain more accurate solution. The sources and the normal dipoles are distributed on both the body and the free surface. Instead of applying the upwind finite difference schemes to satisfy the linearized free surface and the radiation condition, the derivatives of the basis functions of the B-splines are directly applied to the linearized free surface condition. Numerical damping in the Dawson's method are avoided in the Present computations. In order to validate the present method, numerical computations are carried out for a submerged cylinder and a two-dimensional hydrofoil steadily moving beneath a free surface. The numerical results show that fast convergence and better accuracies have been achieved by the present method.

Management of the Diabetic Foot Ulcer in Elderly Patients Using the Anterolateral Thigh Perforator Free Flap (고령의 당뇨병성 족부 궤양의 전외측 대퇴 천공지 유리 피판술을 이용한 치료)

  • Kim, J-Young;Lee, In-Mook;Na, Sang-Eun
    • Journal of Korean Foot and Ankle Society
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    • v.12 no.1
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    • pp.59-65
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    • 2008
  • Purpose: To evaluate the results of anterolateral thigh perforator free flap for reconstruction of foot and ankle in old diabetic patients. Materials and Methods: Fifteen diabetic foot ulcer patients over the age of 55 were operated with anterolateral thigh perforator free flap. Hematological, hemodynamic, diabetic, bacteriologic and radiologic tests were checked with examination of blood vessel state in both the donor site and the recipient site. After surgery, serial check-up was performed at 6 week, 6 month, and 1 year postoperatively on the survival of transplantation tissue, condition of foot, and condition of walking. Results: There are one case of transplantation failure and four cases of partial tissue-necrosis. Delayed wound-healing was observed both recipient and donor tissue sites. At the final follow up, three cases of small ulcer were found at junction of flap and recipient tissue in plantar area. Fourteen out of fifteen patients could walk without any brace or walking aids. Conclusion: Reconstruction of foot and ankle region in old diabetic patients with the anterolateral thigh perforator free flap is a useful method which can prevent the amputation of foot and ankle.

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