• Title/Summary/Keyword: computational domain

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A Finite Element Based PML Method for Time-domain Electromagnetic Wave Propagation Analysis (시간영역 전자기파 전파해석을 위한 유한요소기반 PML 기법)

  • Yi, Sang-Ri;Kim, Boyoung;Kang, Jun Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.2
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    • pp.123-130
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    • 2015
  • This paper presents a new formulation for transient simulations of microwave propagation in heterogeneous unbounded domains. In particular, perfectly-matched-layers(PMLs) are introduced to allow for wave absorption at artificial boundaries used to truncate the infinite extent of the physical domains. The development of the electromagnetic PML targets the application to engineering mechanics problems such as structural health monitoring and inverse medium problems. To formulate the PML for plane electromagnetic waves, a complex coordinate transformation is introduced to Maxwell's equations in the frequency-domain. Then the PML-endowed partial differential equations(PDEs) for transient electromagnetic waves are recovered by the application of the inverse Fourier transform to the frequency-domain equations. A mixed finite element method is employed to solve the time-domain PDEs for electric and magnetic fields in the PML-truncated domain. Numerical results are presented for plane microwaves propagating through concrete structures, and the accuracy of solutions is investigated by a series of error analyses.

Material Topology Optimization Design of Structures using SIMP Approach Part I : Initial Design Domain with Topology of Partial Holes (SIMP를 이용한 구조물의 재료 위상 최적설계 Part I : 부분적인 구멍의 위상을 가지는 초기 설계영역)

  • Lee, Dong-Kyu;Park, Sung-Soo;Shin, Soo-Mi
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.1
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    • pp.9-18
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    • 2007
  • This study shows an implementation of partial holes in an initial design domain in order to improve convergences of topology optimization algorithms. The method is associated with a bubble method as introduced by Eschenauer et al. to overcome slow convergence of boundary-based shape optimization methods. However, contrary to the bubble method, initial holes are only implemented for initializations of optimization algorithm in this approach, and there is no need to consider a characteristic function which defines hole's deposition during every optimization procedure. In addition, solid and void regions within the initial design domain are not fixed but merged or split during optimization Procedures. Since this phenomenon activates finite changes of design parameters without numerically calculating movements and positions of holes, convergences of topology optimization algorithm can be improved. In the present study, material topology optimization designs of Michell-type beam utilizing the initial design domain with initial holes of varied sizes and shapes is carried out by using SIMP like a density distribution method. Numerical examples demonstrate the efficiency and simplicity of the present method.

A Comparative Study on Interrelation between FDTD Source Models for Coaxial-Probe Feeding Structures (동축 프로브 급전구조에 대한 FDTD 전원 모델들의 상호 관계에 관한 비교 연구)

  • Hyun, Seung-Yeup
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.25 no.1
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    • pp.114-122
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    • 2014
  • For an efficient finite-difference time-domain(FDTD) analysis of coaxial-probe feeding structures in radio frequency(RF) and microwave bands, an interrelation between equivalent source modeling techniques is investigated. In existing literature, equivalent source models with delta-gap or magnetic-frill concepts have been developed by many researchers. It is well known that FDTD implementation and computational accuracy of these source models are slightly different. In this paper, the interrelation between FDTD equivalent source models for coaxial feeding structures under the quasi-static approximation(QSA) is presented. As a function of FDTD equivalent source models, time-domain and frequency-domain responses of a coaxial-probe fed conical monopole antenna are calculated numerically. And comparison results of computational accuracy and efficiency are provided.

MEASURE THEORETICAL APPROACH FOR OPTIMAL SHAPE DESIGN OF A NOZZLE

  • FARAHI M. H.;BORZABADI A. H.;MEHNE H. H.;KAMYAD A. V.
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.315-328
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    • 2005
  • In this paper we present a new method for designing a nozzle. In fact the problem is to find the optimal domain for the solution of a linear or nonlinear boundary value PDE, where the boundary condition is defined over an unspecified domain. By an embedding process, the problem is first transformed to a new shape-measure problem, and then this new problem is replaced by another in which we seek to minimize a linear form over a subset of linear equalities. This minimization is global, and the theory allows us to develop a computational method to find the solution by a finite-dimensional linear programming problem.

Study on the Strategy of Numerical Modeling for Hybrid Combustion (하이브리드 연소의 수치 모델링 전략에 관한 연구)

  • Yoon, Changjin;Kim, Jinkon;Moon, Heejang
    • Journal of Aerospace System Engineering
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    • v.1 no.2
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    • pp.37-42
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    • 2007
  • This paper proposes a numerical modeling approach to simulate the hybrid combustion phenomena. From the physical understandings of hybrid combustion, the computational domain was separated into three regions: the solid fuel, gas phase reactive flow, and the interface between solid and fluid. Moreover, for the accurate calculation, computational grids for these regions was generated at every time step considering the instantaneous moving interface which are governed by the balance equations using thermal pyrolysis. In the domain of reactive flow, by virtue of diffusion flame structure, turbulent combustion modeling was introduced using either mixture fraction approach or mean reaction rate approach.

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Wind-induced Vibration of Building Structures with Viscoelastic Dampers (점성감쇠기가 설치된 건물의 내풍해석)

  • 주석준;민경원;홍성목
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.04a
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    • pp.130-135
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    • 1995
  • Wind-induced vibration of buildings with viscoelastic dampers are studied analytically. The added viscoelastic dampers change the damping distribution and reduce the response of buildings. The distribution of damping resistance that results from these viscoelastic dampers is known as non-classical or non-proportional. Non-classically damped structures are analyzed by state-space approach. However, this approach is complex and time-consumming compared to classical approach. This paper is aimed at the analysis of wind-induced Vibration Of buildings With Viscoelastic dampers. The Process Of State-Space approach is studied and the approximate analysis is suggested to overcome the complex and time-consuming access. For numerical certification, PSDF(Power Spectral Density Function) is obtained. Autocorrelation function is obtained in time domain and PSDF is obtained by fourier transformation of this function in frequency domain. It is found that Approximate method can give close approximation to exact solution.

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A Study on the Modeling of Electromagnetic Wave Propagation for the Detection of a Delamination in Concrete Specimens (콘크리트 내의 공동탐사를 위한 전자기파 모델링)

  • 조윤범;임홍철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.119-124
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    • 2000
  • The radar method is becoming one of the major nondestructive testing (NDT) techniques for concrete structures. Numerical modeling of electromagnetic wave is needed to analyze radar measurement results and to study the influence of measurement parameters on the radar measurements. Finite difference-time domain (FD-TD) method is used to simulate electromagnetic wave propagation through concrete specimens. Three concrete specimens with a 25 mm delamination embedded at 25 mm, 50 mm, and 75mm depth are modeled in 3-dimension. Also, thickness change of delamination and permittivity change are modeled.

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Study on the Structural System Condensation using Multi-level Sub-structuring Scheme in Large-scale Problems (대형 시스템에서의 다단계 부분구조 기법을 이용한 시스템 축소기법에 관한 연구)

  • Baek, Sung-Min;Kim, Hyun-Gi;Cho, Meang-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.356-361
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    • 2008
  • Eigenvalue reduction schemes approximate the lower eigenmodes that represent the global behavior of the structures. In the previous study, we proposed a two-level condensation scheme (TLCS) for the construction of a reduced system. And we have improved previous TLCS with combination of the iterated improved reduced system method (IIRS) to increase accuracy of the higher modes intermediate range. In this study, we apply previous improved TLCS to multi-level sub-structuring scheme. In the first step, the global system is recursively partitioned into a hierarchy of sub-domain. In second step, each uncoupled sub-domain is condensed by the improved TLCS. After assembly process of each reduced sub-eigenvalue problem, eigen-solution is calculated by Lanczos method (ARPACK). Finally, Numerical examples demonstrate performance of proposed method.

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Structural System Identification using adaptive design domain approach (적응성 설계영역 기법을 이용한 구조 시스템 식별)

  • Jang, Seong-Min;Baek, Sung-Min;Cho, Meang-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.146-150
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    • 2009
  • 구조 시스템 식별은 역문제로서 이상화된 유한요소 모델을 실험치와 일치시키기 위해 유한요소모델을 보정하는 형태로 주로 이루어진다. 이를 위해 비선형 섭동법이 사용되고 있으며 이 방법을 실제 문제에 사용하기 위해서 시스템 축소법에 대한 연구가 진행 되고 있다. 하지만 기존의 방법에서는 유한요소모델의 모든 요소가 실험치와 다르다고 가정하여서 전체 요소 수만큼의 설계 변수를 두어서 역해석을 수행한다. 이런 기존의 방법에서는 시스템이 커짐에 따라 연산 시간이 기하급수적으로 증가하게 되어 어려움이 있다. 설계 변수의 증가는 해공간(solution space)의 확장을 의미하며 이는 해의 정확성에 큰 영향을 끼친다. 본 연구에서는 모델을 적은 수의 설계영역으로 나누어서 반복연산 단계마다 해의 경향성을 이용해서 설계 영역을 전략적으로 변경하는 적응성 설계영역기법을 제안한다. 수치예제를 통해 본 연구에서 제안하는 기법의 정확도와 효용성을 고찰한다.

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Application of Semi-infinite Boundary Element Method for Tunnel Vibration Analysis (터널 진동해석을 위한 반무한 경계요소법의 적용)

  • 김문겸;이종우;전제성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.04a
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    • pp.128-136
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    • 1994
  • In this study, dynamic boundary element method using mass matrix is derived, using fundamental solutions for the semi-infinite domain. In constituting boundary integral equations for the dynamic equilibrium condition, inertia term in the form of domain integral is transformed into boundary integral form. Corresponding system equations are derived, and a boundary element program is developed. In addition, equations for free vibration is formulated, and eigenvalue analysis is performed. The results from the dynamic boundary element analysis for a tunnel problem are compared with those from the finite element analysis. According to the comparison, boundary element method using mass matrix is consistent with the results of finite element method. Consequently, in tunnel vibration problems, it results in reasonable solution compared with other methods where relatively higher degree of freedoms are employed.

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