• Title/Summary/Keyword: Dawson's method

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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.

Computation of Wave Resistance in the Water of Finite Depth Using a Panel Method (패널법을 이용한 유한수심에서의 조파저항 계산)

  • S.J. Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.66-74
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    • 1992
  • A panel method in the spirit of Hess & Smith(1962), and also of Dawson(1977) was developed to compute the wave resistance of a submerged, or a surface piercing, body moving in the water of finite depth. As a boundary condition on the free surface what is called the Poisson equation is used, while Yasukawa(1989) chose the Dawson equation for which the double-body flow is regarded as the basic one. In order to satisfy the boundary condition on the bottom surface automatically, the sum of a Rankine source and its image with respect to the bottom surface is chosen as the Green function, and hence the singularity is distributed only on the body and on the free surface thereby decreasing the required number of panels dramatically, compared to that of Yasukawa, without the consequential loss of accuracy. Calculations were done for a submerged sphere and for the Wigley hull, and the results are compared with other existing analytical and numerical data.

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A Practical Method for Computing Wave Resistance (조파저항 계산을 위한 실용적인 방법)

  • Seung-Joon Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.1
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    • pp.111-120
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    • 1994
  • This is a continuing work of Van & Lee[1]. Some unresolved results of theirs are first discussed more, and then Tulis's[2] exact theory is briefly reviewed. A second order theory derived from Tulin's is used as a basis to judge the accuracy of the Poisson and the Dawson[3] free surface boundary condition(FSBC) in the low speed region for a two-dimensional submerged body. In search of a new FSBC, a purely numerical approach is adopted, and we show one candidate and its performance, which is satisfactory to a certain degree.

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Analysis of the Nonlinear Wave-Making Problem of Practical Hull Forms Using Panel Method (패널법을 이용한 일반 상선의 비선형 조파문제 해석)

  • Do-Hyun Kim;Wu-Joan Kim;Suak-Ho Van
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.4
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    • pp.1-10
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    • 2000
  • A panel method based on the raised panel approach is developed for the nonlinear ship wave problem of practical hull forms. For the validation of the present numerical scheme. the developed method is first applied to Series 60 hull for which the extensive experimental data are available. As practical applications. the developed method is applied to KRISO 3600 TEU container ship and KRISO 300K VLCC. With the primary emphasis on the nonlinear effects of the global wave pattern generated by the two commercial ships. the calculated wave patterns are compared and verified with the experiments of KRISO. It is found that the calculated results of the present method are quite satisfactory compared with the linear methods like Dawson's approach and Neumann-Kelvin solution.

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Comparison of Free-Surface Boundary Conditions for Computing Wave Resistance (조파저항 계산을 위한 자유표면 조건의 비교)

  • Suak-Ho Van;Seung-Joon Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.2
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    • pp.54-65
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    • 1993
  • In computing the wave resistance numerically, satisfying the boundary condition(BC) on the body surface is not so difficult, and then what form of the BC on the free surface(FS) be used is a crucial question. To shed some light on this, we examine the various BC's on the FS, namely, the Poisson's[1], the Ogilvie's[2] and the Dawson's[3] BC, using the same panel method for submerged bodies in two-dimension. We also show the performance of the Poisson's BC for a submerged sphere and the Wigley hull. It seems that we are still in need of a theory which gives a BC on the FS more accurate than those tested, and more practically applicable than the exact nonlinear BC.

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Finite Element Study on Deformation Characteristics and Damage Evolution in Warm Backward Extrusion of AZ31 Mg Alloys (AZ31 마그네슘 합금의 온간 후방압출에서 변형특성과 결함성장에 관한 유한요소해석)

  • Yoon, D.J.;Kim, E.Z.;Lee, Y.S.
    • Transactions of Materials Processing
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    • v.16 no.8
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    • pp.614-620
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    • 2007
  • Deformation characteristics and damage evolution during warm backward extrusion of bulk AZ31 Mg alloy were investigated using finite element analyses. AZ31 Mg alloy was assumed as a hardening viscoplastic material. The tensile tests of AZ31 Mg alloy in previous experimental works showed the ductile fracture even at the warm temperature of $175^{\circ}C$. In this study, damage evolution model proposed by Lee and Dawson, which was developed based on the growth of micro voids in hardening viscoplastic materials, was combined into DEFORM 2D. Effects of forming temperature, punch speed, extrusion ratio and size of work piece on formability in warm backward extrusion as well as on mechanical properties of extruded products were examined. In general, finite element predictions matched the experimental observations and supported the analyses based on experiments. Distributions of accumulated damage predicted by the finite element simulations were effective to identify the locations of possible fracture. Finally, it was concluded that the process model, DEFORM2D combined with Lee & Dawson#s damage evolution model, was effective for the analysis of warm backward extrusion of AZ31 Mg alloys.

Calculation of Wavemaking Resistance of High Speed Catamaran Using a Panel Method

  • Lee, Seung-Joon;Joo, Young-Ryeol
    • Journal of Hydrospace Technology
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    • v.2 no.2
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    • pp.36-43
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    • 1996
  • In this work, a panel method is described, which cart solve the flow field round a surface-piercing body that experiences lift and wave resistance. As the body boundary condition, a Dirichlet type is employed, and as the free surface boundary condition the Poisson type is implemented, while in its discretization Dawson's 4-point upwind difference scheme is utilized, and as the Kutta condition a Morino-Kuo type is chosen. As to the type of singularity, source panels are distributed on the free surface, and source and dipole panels on the body surface, and dipole panels on the wake surface. For a sample run, a catamaran of the parabolic Wigley hull is chosen, for which experimental data are available, and the predictions by the numerical means and by the experiment are compared for a wide range of parameters.

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An Electromyographic Study on Mandibular Rest Position Induced by Several Methods (하악안정위 유도에 관한 근전도학적 연구)

  • Chang Jung;Kyung-Soo Han;Min Shin
    • Journal of Oral Medicine and Pain
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    • v.18 no.2
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    • pp.121-130
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    • 1993
  • Mandibular rest position is very essential position because in that position, masticatory muscularture can be reciprocally coordinative and unstrained. So obtaining a good ability to establish and maintain rest position in non-functioning state is mandatory for treatment of patient with craniomandibular disorders. In general, many types of mandibulr movement exercise start from rest position and use the sense of muscle relearning, that is, muscle smoothness and relaxation, throughout the exercise period. In this study, 44 normal subjects for control group and 37 patients with craniomandibular disorders for experimental group participated and they were classified into 3 subgroups, respectively. One method to guide mandibular rest position was used for one subgroup, so theree methods were used for this study, 1)self-guided rest position without any education, 2) guided by Rocabado's tongue rest position, 3) guided through swallowing after Dawson's centric relation. To record electromyographic activity, Bioelectric processor EM2 (Myotronics, U.S.A.) was used. The numbers of sessions from start to stable resting electromyographic level and muscle activities in stable state were recorded and two recordings which were first and second, 3 days after first recording, were done, The data were processed with SPSS/PC+package. The obtained results were as follows : 1. Mean number of sessions in second recording were fewer than those in first recording in both groups. In comparison among 3 subgroups, mean number of sessions of subgroup guided through Dawson's method were fewer than those of other groups though it is not statistically significant. 2. There was a difference of mean number of sessions between control and experimental group in first recording, but in second recording there was no difference in any cases. 3. Mean value of muscle activity were generally not different without regard to group and method if once come to stable resting position level. Mean value of muscle activity of guided subgroups showed a tendency of decreasing in second recording than in first recording. However, in self-guided subgroup there was a inconsistent pattern. 4. The amounts of change in session number from first to second recording in control group were fewer than those in experimental group.

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Calculation of the Wave Resistance of SWATH Ships using Rankine Source Panel Methods (Rankine 소오스 패널법을 이용한 소수선면 쌍동선의 조파저항계산)

  • Chun, H.H.;Lee, M.H.;Joo, Y.R.;Jang, H.S.
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.2
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    • pp.27-38
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    • 1997
  • This paper is concerned with the calculation of the wave resistance for SWATH ships based on a low order Rankine source panel method. Two types of free surface boundary conditions, Dawson type (double model approximation) and Kelvin type (free stream approximation) are used. For the free surface boundary calculation, an analytic differentiation is employed instead of implementing a finite difference scheme. Then, the radiation condition is satisfied by, so called, the panel shift method. The numerical results using the above two methods are compared with those using the thin ship/modified slender body approximation and also with the experimental results. The SWATH models considered are a single strut SWATH and a twin strut SWATH together with the variations of two demihull separation distance. In order to prove the validity of the program developed, the numerical calculations for a Wigley mono hull and Wigley twin hulls are compared with the available experimental results.

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