• 제목/요약/키워드: Computational Domain

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표면 임피던스 경계조건을 이용한 손실유전체 해석 (The Analysis of Lossy Dielectric using Surface Impedance Boundary Condition)

  • 김병찬;김채영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 C
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    • pp.1744-1746
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    • 1996
  • Surface impedance boundary condition(SIBC) concepts are introduced into the finite-difference time-domain(FDTD) method. Lossy conductors are replaced by surface impedance boundary computations reducing the soluton space and producing significant computational savings. Specifically, a surface impedance boundary condition is developed to reduce a lossy dielectric half-space. Since Maxwell's eqations are solved directly, the reflected and transmitted pulse amplitude demonstrate how the reflection and transmision coefficient determine reflected wave amplitude. In this paper, two implementations of reflection coefficient are presented. One implementation is a standard FDTD technique and the other is a FDTD using surface impedence boundary condition(FDTD-SIBC) that are applicabIe over a very large frequency bandwidth. Particulary, an efficient way to transform the time domain results to frequency domain is presented. Thus, frequency domain results are presented in one dimension and are compared with exact results.

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주파수 대역에서의 피드백 제거 알고리즘의 보청기 응용 (Hearing aid application of feedback cancellation algorithm in frequency domain)

  • 장순석
    • 한국음향학회지
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    • 제35권4호
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    • pp.272-279
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    • 2016
  • 본 논문은 보청기의 피드백 제거 알고리즘을 실시간으로 실현한 내용을 다루었다. 기존의 시간 영역에서의 최소 평균 자승 기법을 주파수 영역으로 변환하여 처리함으로써 계산상의 부하를 최소화하였다. 적응 필터 알고리즘의 확인은 Matlab(Matrix laboratory) 기반으로 수행하였고, 이를 CSR 8675 블루투스 DSP IC(Digital Signal Processor Integrated Circuit) 칩 펌웨어로 실현하고 검증해보였다. 스마트폰으로의 원격 무선 제어 기능이 포함된 스마트 보청기는 사용자 접근 편의성이 강화된다.

영역 및 복사 경계의 완전 분할을 통한 유한요소 열전달 해석의 효율화 (Efficient Finite Element Heat Transfer Analysis by Decomposing a Domain and Radiation Boundaries)

  • 신의섭;김용언;김성준
    • 대한기계학회논문집A
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    • 제32권10호
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    • pp.836-843
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    • 2008
  • An efficient domain/boundary decomposition method is applied for heat transfer problems with non-linear thermal radiation boundaries. The whole domain of solids or structures is considered as set of subdomains, an interface, and radiation interfaces. In a variational formulation, simple penalty functions are introduced to connect an interface or radiation interfaces with neighboring subdomains that satisfy continuity conditions. As a result, non-linear finite element computations due to the thermal radiation boundaries can be localized within a few subdomains or radiation interfaces. Therefore, by setting up suitable solution algorithms for the governing finite element equations, the computational efficiency can be improved considerably. Through a set of numerical examples, these distinguishing characteristics of the present method are investigated in detail.

DOMAIN OF INFLUENCE OF LOCAL VOLATILITY FUNCTION ON THE SOLUTIONS OF THE GENERAL BLACK-SCHOLES EQUATION

  • Kim, Hyundong;Kim, Sangkwon;Han, Hyunsoo;Jang, Hanbyeol;Lee, Chaeyoung;Kim, Junseok
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제27권1호
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    • pp.43-50
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    • 2020
  • We investigate the domain of influence of the local volatility function on the solutions of the general Black-Scholes model. First, we generate the sample paths of underlying asset using the Monte Carlo simulation. Next, we define the inner and outer domains to find the effective volatility region. To confirm the effect of the inner domain, we use the root mean square error for the European call option prices, and then change the values of volatility in the proposed domain. The computational experiments confirm that there is an effective region which dominates the option pricing.

영역분할에 의한 격자세분화 기법 및 압출공정의 유한요소해석에의 적용 (Mismatching Refinement with Domain Decomposition and Its Application to the Finite Element Analysis of the Extrusion Process)

  • 박근;양동열
    • 소성∙가공
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    • 제8권3호
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    • pp.284-293
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    • 1999
  • The rigid-plastic finite element analysis requires a large amount of computation time due to its non-linearity. For economic computation, mismatching refinement, and efficient domain decomposition method with different mesh density for each sub domain, is developed. A modified velocity alternating scheme for the interface treatment is proposed in order to obtain good convergence and accuracy. As a numerical example, the axisymmetric extrusion process is analyzed. The results are discussed for the various velocity update schemes form the viewpoint of convergence and accuracy. The three-dimen-sional extrusion process with rectangular section is analyzed in order to verify the effectiveness of the proposed method. Comparing the results with those of the conventional method of full region analysis, the accuracy and the computational efficiency of the proposed method are then discussed.

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대규모 자유도 문제의 구조해석을 위한 병렬 알고리즘 (A Parallel Algorithm for Large DOF Structural Analysis Problems)

  • 김민석;이지호
    • 한국전산구조공학회논문집
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    • 제23권5호
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    • pp.475-482
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    • 2010
  • 본 논문에서는 대규모 자유도 시스템의 병렬처리를 위하여 2단계로 이루어진 영역분할법(Domain Decomposition Method) 기반의 병렬 알고리즘을 제안하였다. 분할된 영역의 내부 및 외부 경계를 상위영역문제로 정의하고 국부영역문제는 변위 경계조건이 모두 주어지는 분할영역에서의 Dirichlet 문제로 구성한다. 상위영역에서는 전체 상위영역에 대한 강성 행렬의 어셈블이 필요없는 반복법을 통하여 변위를 구하고, 이를 바탕으로 국부영역에서 Multi-Frontal Sparse Solver (MFSS)를 이용하여 변위를 계산한다. 상위영역문제의 연산에서 프로세서 간의 데이터 교환을 최소화하여 계산효율을 유지하며, 동시에 해석 가능한 자유도를 증대시키는 병렬 PCG(Preconditioned Conjugate Gradient)법 기반의 알고리즘을 개발하였다. 제안된 알고리즘을 적용하여 수치해석을 수행한 결과, 프로세서 수가 증가할수록 계산성능의 손실없이 해석 가능한 자유도가 비례하여 증가하는 선형 확장성을 관찰할 수 있었으며, 대규모 자유도 문제에 효과적으로 사용 가능함을 확인하였다.

Nonlinear fluid-structure interaction of bridge deck: CFD analysis and semi-analytical modeling

  • Grinderslev, Christian;Lubek, Mikkel;Zhang, Zili
    • Wind and Structures
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    • 제27권6호
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    • pp.381-397
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    • 2018
  • Nonlinear behavior in fluid-structure interaction (FSI) of bridge decks becomes increasingly significant for modern bridges with increasing spans, larger flexibility and new aerodynamic deck configurations. Better understanding of the nonlinear aeroelasticity of bridge decks and further development of reduced-order nonlinear models for the aeroelastic forces become necessary. In this paper, the amplitude-dependent and neutral angle dependent nonlinearities of the motion-induced loads are further highlighted by series of computational fluid dynamics (CFD) simulations. An effort has been made to investigate a semi-analytical time-domain model of the nonlinear motion induced loads on the deck, which enables nonlinear time domain simulations of the aeroelastic responses of the bridge deck. First, the computational schemes used here are validated through theoretically well-known cases. Then, static aerodynamic coefficients of the Great Belt East Bridge (GBEB) cross section are evaluated at various angles of attack, leading to the so-called nonlinear backbone curves. Flutter derivatives of the bridge are identified by CFD simulations using forced harmonic motion of the cross-section with various frequencies. By varying the amplitude of the forced motion, it is observed that the identified flutter derivatives are amplitude-dependent, especially for $A^*_2$ and $H^*_2$ parameters. Another nonlinear feature is observed from the change of hysteresis loop (between angle of attack and lift/moment) when the neutral angles of the cross-section are changed. Based on the CFD results, a semi-analytical time-domain model for describing the nonlinear motion-induced loads is proposed and calibrated. This model is based on accounting for the delay effect with respect to the nonlinear backbone curve and is established in the state-space form. Reasonable agreement between the results from the semi-analytical model and CFD demonstrates the potential application of the proposed model for nonlinear aeroelastic analysis of bridge decks.

A DOMAIN DECOMPOSITION PRECONDITIONER FOR STEADY GROUNDWATER FLOW IN POROUS MEDIA

  • Ghahreman, N.;Kerayechian, A.
    • Journal of applied mathematics & informatics
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    • 제7권3호
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    • pp.773-785
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    • 2000
  • In this paper an algorithm is presented based on the additive Schwarz method for steady groundwater flow in a porous medium. The subproblems in the algorithm correspond to the problem on a coarse grid and some overlapping subdomains. It will be shown that the rate of convergence is independent of the mesh parameters and discontinuities of the coefficients, and depends on the overlap ratio.

Haar 웨이블릿 다중분해능 시간영역 해석법을 이용한 마이크로파 소자 해석 (Applications of Haar Wavelet Based Multiresolution Time-Domain Method to Microwave Structures)

  • 주세훈;김형훈;김형동
    • 한국전자파학회논문지
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    • 제10권6호
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    • pp.935-950
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    • 1999
  • A multiresolution time-domain analysis scheme is derived for the analysis of microwave structures by using Haar wavelets to discretize the Maxwell's curl equation. This technique requires less computational effort than the conventional FDTD method because larger space grid can be used in the simulations. To validate this scheme, several 2-D·3-D microwave structures are simulated and the results are compared with those of the conventional FDTD scheme.

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ATTRACTORS AND QUASI-ATTRACTORS OF A FLOW

  • Zuo, Chunyan;Wang, Xiaoxia
    • Journal of applied mathematics & informatics
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    • 제23권1_2호
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    • pp.411-417
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    • 2007
  • In this paper, the connection among the attractor, the attractor neighborhood and the domain of influence are investigated. A necessary and sufficient condition of the existence of the quasi-attractor is established. Some results of Conley in [2] are generalized.