• Title/Summary/Keyword: continuity of boundary

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Segregated finite element method by introducing a improved open boundary condition (개선된 개방경계조건을 도입한 분리유한요소법)

  • Oh, Seung-Hun;Min, Tae-Gee;Yoo, Jung-Yul
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.698-703
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    • 2000
  • In a computational fluid dynamics, the imposition of open boundary condition has an important part of the accuracy but it is not easy to find the optimal boundary rendition. This difficult is introduced by making artificial boundary in unbounded domairs. Such open boundary requires us to ensure the continuity of all primitive variables because the nature is in continuum. Here we introduce a revised well-conditioned open boundary condition particularly in FEM and apply it to various problems-entrainment, body force, short domains.

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Finite Element Modeling of a Piezoelectric Sensor Embedded in a Fluid-loaded Plate (유체와 접한 판재에 박힌 압전센서의 유한요소 모델링)

  • Kim, Jae-Hwan
    • Journal of KSNVE
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    • v.6 no.1
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    • pp.65-70
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    • 1996
  • The sensor response of a piezoelectric transducer embedded in a fluid loaded structure is modeled using a hybrid numerical approach. The structure is excited by an obliquely incident acoustic wave. Finite element modeling in the structure and fluid surrounding the transducer region, is used and a plane wave representation is exploited to match the displacement field at the mathematical boundary. On this boundary, continuity of field derivatives is enforced by using a penalty factor and to further achieve transparency at the mathematical boundary, drilling degrees of freedom (d.o.f.) are introduced to ensure continuity of all derivatives. Numerical results are presented for the sensor response and it is found that the sensor at that location is not only non-intrusive but also sensitive to the characteristic of the structure.

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On the Thick Axisymmetric Boundary Layer and Wake Around the Body of Revolution (몰수분의 두꺼운 경계층 및 반류해석)

  • Gang, Sin-Hyeong;Hyeon, Beom-Su;Lee, Yeong-Gil
    • 한국기계연구소 소보
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    • s.9
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    • pp.141-151
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    • 1982
  • An iterative procedure for the calculation of the thick axisymmetric boundary layer and wake near the stern of a body of revolution is presented. Procedure consists of the potential flow calculation by a method of the integral equation of first kind and the calculation of boundary layer and wake by a differential me¬thod of the boundary layer theory. Additionally, higher order terms are included in the conventional momentum equations and continuity equation for the consider¬ation of the characteristics of axisymmetric flow different from the one of two dimentional flow and the thick boundary layer. These solutions are matched at the edge of boundary layer and wake. The results obtained by the present me¬thod are compared with the experimental data and it is found that the nominal wake distribution at the propeller plane of a axisymmetric body is in good agree¬ment with the experiment.

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A Study on the Ambiguity of the Boundary in the Inside Space through the Composition of Section (단면 구성을 통한 공간 내부 경계의 모호성에 관한 연구)

  • Lim Jong-Yup;Lee Hong
    • Korean Institute of Interior Design Journal
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    • v.14 no.6 s.53
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    • pp.95-102
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    • 2005
  • The purpose of this study was to analyze the ambiguity of the boundary through the composition of section. The building means the compose of the inside space by physical shell. Inside space that has boundary factors like floor, wall, roof and column is surrounded outside space. The factors which compose the boundary was expressed by architects as various analysis, but it has changed as changing of paradigm and information revolution. The inside space and outside space were connected through the system arrangement, so various space could construct by an aspect of relation. The history of architecture was written as the establishment of in-out space by architectural boundary factors, but the space could not divide definitely, composed complex structure, could experience various recognition. The existing study which is focused on Ambiguity of the Boundary is just focused on contemporary architecture. Ambiguity of the Boundary is developed by using glass. The transparency of glass removed the boundary of space, so it can be created free wall, continuity of view. It was Influenced the boundary of the sight and changed the expression of boundary between the space. This study is to analyze the change of boundary awareness and find the ambiguity of boundary in the section.

A Study on the Continuity of the Plate to the concept of Topology in Interior Space (위상기하학적 개념에 의한 실내공간의 판의 연속성에 관한 연구)

  • Song, Hye-Young;Kim, Moon-Duck
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2005.10a
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    • pp.171-175
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    • 2005
  • The Principle of space composition in modern architecture is thought about functionalism that based on function and program but the present age attempt that escapes form of former space composition. The present age brings fast development than former ages, so we need the space which has correct flexibility on New Age for escaping in existing structural formality. Specially, the space that boundary of existing plate, column and wall is crumbled as becoming possible technological support with social backgrounds. What this study saying is the analysis about the relation between the concept of topology and the consecutive space composition. Therefore, there is the purpose understanding a characteristic of continuity of the plate through the topological concept and understanding the roll in interior space.

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Kirchhoff Plate Analysis by Using Hermite Reproducing Kernel Particle Method (HRKPM을 이용한 키르히호프 판의 해석)

  • 석병호;송태한
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.5
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    • pp.67-72
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    • 2003
  • For the analysis of Kirchhoff plate bending problems, a new meshless method is implemented. For the satisfaction of the $C^1$ continuity condition in which the first derivative is treated an another primary variable, Hermite interpolation is enforced on standard reproducing kernel particle method. In order to impose essential boundary conditions on solving $C^1$ continuity problems, shape function modifications are adopted. Through numerical tests, the characteristics and accuracy of the HRKPM are investigated and compared with the finite element analysis. By this implementatioa it is shown that high accuracy is achieved by using HRKPM for solving Kirchhoff plate bending problems.

A Simplified Numerical Method for Simulating the Generation of Linear Waves by a Moving Bottom (바닥의 움직임에 따른 선형파의 생성을 모의할 수 있는 간편 수치해석 기법)

  • Jae-Sang Jung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.35 no.2
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    • pp.41-48
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    • 2023
  • In this study, simplified linear numerical method that can simulate wave generation and transformation by a moving bottom is introduced. Numerical analysis is conducted in wave number domain after continuity equation, linear dynamic and kinematic free surface boundary conditions and linear kinematic bottom boundary condition are Fourier transformed, and the results are expressed in space domain by an inverse Fourier transform. In the wavenumber domain, the dynamic free water surface boundary condition and the kinematic free water surface boundary condition are numerically calculated, and the velocity potential in the mean water level (z = 0) satisfies the continuity equation and the kinematic bottom boundary condition. Wave generation and transformation are investigated when the triangular and rectangular shape of bottoms move periodically. The results of the simplified numerical method are compared with the results of previous analytical solutions and agree well with them. Stability of numerical results according to the calculation time interval (Δt) and the calculation wave number interval (Δk) was also investigated. It was found that the numerical results were appropriate when Δt ≤ T(period)/1000 and Δk ≤ π/100.

Analysis of Two-dimensional Multi-regions Problem Using Boundary Integral Equation Method (2차원 다영역 문제의 경계적분 해석)

  • Lim, Eui-Soo;Lee, Hyang-Beom
    • Proceedings of the KIEE Conference
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    • 1999.11b
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    • pp.101-103
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    • 1999
  • This paper presents an analysis of 2-dimensional(2-D) multi-regions problem using boundary integral equation method(BIEM). When compared with finite element method(FEM), there are only a few unknown variables in BIEM because it implements numerical analysis only for the surface or boundary of a model. As a result, a lot of computational memory and time can be saved. Procedure to analyze 2-D multi-regions problem using potentials and its derivatives in a boundary as unknown variables, first, numerical analysis is performed for each of subregions. And then interface continuity condition is applied to the interface between them and Gauss Quadrature Formula are adopted to solve singular integral in a boundary in this paper.

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OPTIMAL CONTROL PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES WITH BOUNDARY CONDITIONS

  • Jeong, Jin-Mun;Ju, Eun-Young;Kim, Hyun-Min
    • Journal of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.567-586
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    • 2015
  • In this paper, we study optimal control problems for parabolic hemivariational inequalities of dynamic elasticity and investigate the continuity of the solution mapping from the given initial value and control data to trajectories. We show the existence of an optimal control which minimizes the quadratic cost function and establish the necessary conditions of optimality of an optimal control for various observation cases.

The study on the characteristics of Hyang-Dan focused on the boundary structure (경계구조로 본 향단에 관한 연구)

  • Bang, Moon-Jung;Lee, Chan
    • Korean Institute of Interior Design Journal
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    • v.18 no.6
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    • pp.176-183
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    • 2009
  • This study was intended to define the spatial concept of the boundary structure of the architectural space as well as evaluate the Hyangdan which well represents the features of Korean traditional building in such a way of reviewing the building structure of Korean traditional residential space. The boundary is categorized into visible boundary and invisible boundary which was also functionally classified into the features of isolating, passing, mediating and overlapping. The major elements comprising the boundary structure was analyzed by the characteristic of the pattern so as to define them as the concept of surrounding, duality, hierarchism, continuity and overlapping. Based on such concepts, a boundary structural characteristics of Hyangdan were reevaluated and outlined as follows. The surrounding feature was seen through the outer side of the structure surrounded, two courtyards and eaves, and a duality showing both the closure of main house and openness of detached house was seen through the characteristics of surrounding structure. And the continuous activities toward the inner room and the empty space to link them in a systematic way and repeatedly aligned rooms reveal the overlapping as continuous and transitional space. And finally, an elevated stylobate demonstrates the hierarchical features of the structure.