• 한국전산유체공학회:학술대회논문집
• /
• 한국전산유체공학회 1995년도 추계 학술대회논문집
• /
• pp.82-89
• /
• 1995

In the present paper, a method of nearly orthogonal grid generation in an arbitrary simply-connected 3D domain will be presented. The method is a new direct and non-iterative scheme based on the concept of the decomposition of the global orthogonal transformation into consecutive mapping of a conformal mapping and an auxiliary orthogonal mapping, which was suggested by King and Leal [4]. In our numerical scheme. Kang and Leal's method is extended from 2D problems to 3D problems while the advantage of the non-iterative algorithm is maintained. The essence of the present mapping method is that an iterative scheme can be avoided by introducing a preliminary step. This preliminary step corresponds to a conformal map and is based on the boundary element method(BEM). This scheme is applied to generate several nearly-orthogonal grid systems which are orthogonal at boundaries.

• Wind and Structures
• /
• 제35권4호
• /
• pp.243-253
• /
• 2022

The conformal mapping method (CMM) has been broadly exploited in the study of fluid flows over airfoils and other research areas, yet it's hard to find relevant research in bridge engineering. This paper explores the feasibility of CMM in streamlined box girder bridges. Firstly, the mapping function transforming a unit circle to the streamlined box girder was solved by CMM. Subsequently, the potential flow solution of aerostatic pressure on the streamlined box girder was obtained and was compared with numerical simulation results. Finally, the aerostatic pressure attained by CMM was utilized to estimate the aerostatic coefficient and flutter performance of the streamlined box girder. The results indicate that the solution of the aerostatic pressure by CMM on the windward side is satisfactory within a small angle of attack. Considering the windward aerostatic pressure and coefficient of correction, CMM can be employed to estimate the rate of change of the lift and moment coefficients with angle of attack and the influence of the geometric shape of the streamlined box girder on flutter performance.

• 대한기계학회논문집A
• /
• 제21권10호
• /
• pp.1702-1711
• /
• 1997

A numerical study for the number of terms of a power series stress function and the effect of hybrid element size on stress analysis around a hole in loaded orthotropic composites is presented. The hybrid method coupling experimental and/or theoretical inputs and complex variable formulations involving conformal mappings and analytical continuity is used to calculate tangential stress on the boundary of the hole in uniaxially loaded, finite width glass epoxy tensile plate. The tests are done by rarying the number of terms, element size and nodal locations on the external boundary of the hybrid region. The numerical results indicate that the hybrid method is accurate and powerful in both experimental and numerical stress analysis.

• Journal of Advanced Marine Engineering and Technology
• /
• 제40권5호
• /
• pp.412-417
• /
• 2016

A fin of finite width with infinitely small thickness is assumed to be placed horizontally between two horizontal parallel plates of infinite extension in the exactly central position. The lower plate and the half of the upper plate are kept at a constant lower temperature, and the remaining upper plate is kept at a constant higher temperature. The fin is also kept at a constant temperature (variable). Steady-state two-dimensional laminar natural convection is analyzed as a problem of boundary value under a boundary-fitted conformal mapping system, using a spectral finite difference scheme, with a condition of doubly-connectedness. The steady-state solution is obtained as a limit of the transient solution.

• 정보처리학회논문지A
• /
• 제8A권4호
• /
• pp.503-508
• /
• 2001

2차원 Laplace방정식이 나타나는 열전도, 정전(靜電)potential, 유체(流體)의 문제 등에 등각사상이 유용하게 쓰이고 있다. 단위원 내부로부터 Jordan 영역 내부에로의 수치등각사상을 구하는 것은 비선형 적분방정식인 Theodorsen방정식을 푸는 것으로 귀착된다. 저자는 Theodorsen방정식을 구하는 해법 중 유효한 해법의 하나로 알려진 H bner의 방법을 소개하고 개선한 바 있다[1, 2]. 여기서는 계산량에 있어서 H bner보다 유리한 Wegmann의 방법을 다룬다. Wgmann방법에 의해 계산기상에 실현한 결과 난이도가 높은 문제에서는 수렴했다가 발산하는 문제점이 지적되었다. 본 논문에서는 Wegmann의 문제점을 이론적으로 분석하여 저주파필터에 의하여 개선한 방법을 제안하고 개선한 방법에 의한 수치 실험결과를 보고한다.

• 한국초전도저온공학회:학술대회논문집
• /
• 한국초전도저온공학회 2002년도 학술대회 논문집
• /
• pp.177-180
• /
• 2002

A numerical model to obtain the temperature distribution in a radiation shield of cryogenic systems was proposed. Conformal mapping was used to transform the eccentric physical region of the upper plate to the concentric numerical region. The effects of the thickness of the radiation shield, the emissivities of the vacuum chamber and the radiation shield, and the eccentricity between the centers of the upper plate and the contact area with a cryocooler on the maximum temperature difference in a radiation shield were shown.

• 한국전자파학회논문지
• /
• 제15권10호
• /
• pp.944-951
• /
• 2004

본 논문에서는 등각사상 법을 이용해 접지 면에 어퍼처를 갖는 차폐된 마이크로스트립 선로의 특성임피던스 및 유효 유전 상수 등을 계산하는 방법을 제안하였다. 이 방법은 닫힌 형태의 공식을 제시하기 때문에 따로 어떠한 수치해석 방법을 쓰지 않고도 선로 파라미터들을 계산할 수 있다는 장점이 있다. 먼저 신호가 마이크로스트립 모드(Quasi-TEM)로 진행한다고 가정하고 차폐된 선로를 세 부분으로 나누어 정전 용량을 계산하고 계산된 부분별 정전 용량들을 이용해 임피던스 및 유효 유전상수를 계산하였다. HFSS 시뮬레이션 결과, 계산 결과가 시뮬레이션 결과와 오차범위 $5\%$ 이내로 거의 일치함을 알 수 있었다.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2004년도 추계학술대회
• /
• pp.73-78
• /
• 2004

In this research, the photoelastic experimental hybrid method with Hook-Jeeves numerical method has been developed: This method is more precise and stable than the photoelastic experimental hybrid method with Newton-Rapson numerical method with Gaussian elimination method. Using the photoelastic experimental hybrid method with Hook-Jeeves numerical method, we can separate stress components from isochromatics only and stress intensity factors and stress concentration factors can be determined. The photoelastic experimental hybrid method with Hook-Jeeves had better be used in the full field experiment than the photoelastic experimental hybrid method with Newton-Rapson with Gaussian elimination method.

• 한국정보처리학회논문지
• /
• 제6권10호
• /
• pp.2716-2721
• /
• 1999

The problem of determining the conformal maps from the unit disk onto a jordan region has been completed by solving the theodorsen equation that is nonlinear. For the hubners method, which has been well known for the efficient method among the many suggestions for the Theodorsen equation, it has been reproved in our early study that the convergence rate could be remarkably improved by exploring and applying a low-frequency pass filter[1]. However, in the Hubner's method with the low-frequency filter, the discrete numbers and parameters of the low-frequency filter were able to be acquired only by experience. In this paper we show algorithms that determine the discrete numbers and parameters of the low-frequency filter automatically in accordance with the given region. This results from analyzing the function, which decides the shape of the given domain under the assumption that the degree of the problem depends of the transformation of a given domain, as seen in the Fourier Transform.

• 한국전산유체공학회:학술대회논문집
• /
• 한국전산유체공학회 2002년도 추계 학술대회논문집
• /
• pp.88-94
• /
• 2002

Curved intakes are commonly used from commercial aircraft to military missile. Sound radiation from the intake of air vehicle affects cabin noise, community noise and military detection. In this paper, Sound radiation from curved intake is computed using the high order, high resolution scheme. The generalized characteristic boundary conditions, adaptive nonlinear artificial dissipation model and conformal mapping for high order, high resolution scheme are used. The geometric change of curved intake and the frequency of acoustic source are considered. Two dimensional Euler equations are solved for theses analyses.