• 제목/요약/키워드: iterative solver

검색결과 47건 처리시간 0.026초

의용 전자파 영상을 위한 모멘트법 순방향 해석 알고리즘 (MoM Forward Solver for Medical Microwave Imaging)

  • 김보라;이택경;손성호;전순익
    • 한국전자파학회논문지
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    • 제20권8호
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    • pp.797-805
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    • 2009
  • 본 논문에서는 전자파를 이용하여 인체 내 암 조직을 찾아내기 위해 역산란 방법인 BIM(Born Iterative Method)에 적용되는 순방향 해석 알고리즘을 MoM(Method of Moment)으로 구현하였다. 특히 유방암의 전자파 산란 해석을 위해 2차원 유방 단면 구조를 이용하였다. 이 단면 구조를 적분방정식과 2차원 그린함수를 이용하여 정식화한 후 MoM을 적용하여 해석하고 산란 전장을 구하였다. 또한, 유방암 측정 실험 장치를 통해 얻은 모사구조에 대한 측정값과 MoM을 이용한 수치해석 계산 값을 비교하여 결과를 분석하였다.

CFD study of an iterative focused wave generation method

  • Haoyuan Gu;Hamn-Ching Chen
    • Ocean Systems Engineering
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    • 제13권1호
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    • pp.1-20
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    • 2023
  • An iterative focused wave generation method is developed and implemented in a local analytic based Navier-Stokes solver. This wave generation method is designed to reproduce the target focused wave by matching the target amplitude spectrum and phase angle. A 4-waves decomposition scheme is utilized to obtain the linearised component of the output wave. A model test studying the interaction between different focused waves and a fixed cylinder is selected as the target for the wave generation approach. The numerical wave elevations and dynamic pressure on the cylinder are compared with the experimental measurement and other state-of-the-art numerical methods' results. The overall results prove that the iterative adjustment method is able to optimize the focused wave generated by a CFD approach.

DAE 해법과 PPTA(Partial Periodic Trimming Algorithm)를 이용한 헬리콥터 트림해석 및 비행 시뮬레이션 (Helicopter Trim Analysis and Flight Simulation by Uising DAE Based PPTA (Partial Periodic Trimming Algorithm))

  • 김창주
    • 한국항공우주학회지
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    • 제31권1호
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    • pp.42-48
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    • 2003
  • Lever II 헬리콥터 비행운동 방정식으로부터 주기성 트림해를 구하기 위해 DAE 해법에 근거한 PPTA(Partial Periodic Trimming Algorithm)를 제안하였다. PPTA의 반복계산으로 수정된 상태변수는 적합한 초기조건이 요구되는 DAE해법에서 수치불안정을 일으킬 수 있다. 간단하게 DAE 차수를 조절함으로써 정확한 주기성 트림을 얻을 수 있었다. 수치해법을 CBM(Common Baseline Model) 헬리콥터에 적용하여 harmonic balance 방법과 동일한 트림해를 얻었으며 시뮬레이션 초기의 과도응답을 효과적으로 제거할 수 있음을 밝혔다.

인터벌 연산 기반의 곡면간 교차선 계산에 관한 연구 (A Study on Intersection Computation in Interval Arithmetic)

  • 고광희
    • 한국CDE학회논문집
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    • 제15권3호
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    • pp.178-188
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    • 2010
  • This paper addresses the problem of determining if two surfaces intersect tangentially or transversally in a mathematically consistent manner and approximating an intersection curve. When floating point arithmetic is used in the computation, due to the limited precision, it often happens that the decision for tangential and transversal intersection is not clear cut. To handle this problem, in this paper, interval arithmetic is proposed to use, which provides a mathematically consistent way for such decision. After the decision, the intersection is traced using the validated ODE solver, which runs in interval arithmetic. Then an iterative method is used for computing the accurate intersection point at a given arc-length of the intersection curve. The computed intersection points are then approximated by using a B-spline curve, which is provided as one instance of intersection curve for further geometric processing. Examples are provided to demonstrate the proposed method.

화력발전시스템 Heat and Mass Balance 최적설계 자동화기법 (Automation of Heat & Mass Balance Design Optimization Method for Power Plant)

  • 백세현;장지훈;김영주
    • KEPCO Journal on Electric Power and Energy
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    • 제5권3호
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    • pp.181-188
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    • 2019
  • 본 연구에서는 발전시스템의 설계 입출력변수들을 Heat & Mass balance 계산 solver 및 최적화 알고리즘과 연계하고 반복계산 과정을 자동화함으로써 기술 및 경제적 측면을 고려한 최적의 발전시스템 Heat & Mass balance 설계를 도출하는 최적설계 자동화 기법을 개발하였다. 그리고 이에 대한 효과를 분석하기 위하여 발전소 형식별 10종에 대하여 최적설계 기법을 적용한 결과, NPV 및 IRR에 대한 개선 효과를 기대할 수 있었다.

Physics-based Surrogate Optimization of Francis Turbine Runner Blades, Using Mesh Adaptive Direct Search and Evolutionary Algorithms

  • Bahrami, Salman;Tribes, Christophe;von Fellenberg, Sven;Vu, Thi C.;Guibault, Francois
    • International Journal of Fluid Machinery and Systems
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    • 제8권3호
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    • pp.209-219
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    • 2015
  • A robust multi-fidelity optimization methodology has been developed, focusing on efficiently handling industrial runner design of hydraulic Francis turbines. The computational task is split between low- and high-fidelity phases in order to properly balance the CFD cost and required accuracy in different design stages. In the low-fidelity phase, a physics-based surrogate optimization loop manages a large number of iterative optimization evaluations. Two derivative-free optimization methods use an inviscid flow solver as a physics-based surrogate to obtain the main characteristics of a good design in a relatively fast iterative process. The case study of a runner design for a low-head Francis turbine indicates advantages of integrating two derivative-free optimization algorithms with different local- and global search capabilities.

Computational aero-acoustics using a hybrid approach combining standard CFD tools with ACTRAN/LA; theory, process and applications

  • Migeot, Jean-Louis
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 추계학술대회논문집
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    • pp.545-560
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    • 2008
  • O Source import ㅁDirect import form Nastran, ANSYS ㅁDirect import of all the RPM from the files containing the structural results O Solver ㅁDirect computation of all RPM (multiple load case): one matrix resolution with multiple RHS ㅁEfficient solvers (MUMPS, SPARSE, Iterative) ㅁFrequency parallelisms available for very large problems O In practice ㅁSmall problems run on a desktop ㅁLarge problems can exceed 3kHz on a car engine O Easy to mesh ㅁ3D model created in a few minutes thanks to the unequal meshes. O And all Actran standard features

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ON DYNAMICS OF A SIXTH-ORDER MULTIPLE-ROOT FINDER FOR NONLINEAR EQUATIONS

  • YOUNG HEE GEUM
    • Journal of applied mathematics & informatics
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    • 제42권1호
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    • pp.213-221
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    • 2024
  • A family of sixth-order multiple-root solver have been developed and the special case of weight function is investigated. The dynamical analysis of selected iterative schemes with uniparametric polynomial weight function are studied using Möbius conjugacy map applied to the form ((z - A)(z - B))m and the stability surfaces of the strange fixed points for the conjugacy map are displayed. The numerical results are shown through various parameter spaces.

Vortex behavior in the inertial flow of viscoelastic fluids past a confined cylinder

  • Kim, Ju Min;Kim, Chongyoup;Chung, Changkwon;Ahn, Kyung Hyun;Lee, Seung Jong
    • Korea-Australia Rheology Journal
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    • 제16권3호
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    • pp.117-128
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    • 2004
  • The effect of molecular parameters on the steady vortex behaviors in the inertial viscoelastic flow past a cylinder has been investigated. FENE-CR model was considered as a constitutive equation. A recently developed iterative solution method (Kim et al., (in press)) was found to be successfully applicable to the computation of inertial viscoelastic flows. The high-resolution computations were carried out to understand the detailed flow behaviors based on the efficient iterative solution method armed with ILU(0) type pre-conditioner and BiCGSTAB method. The discrete elastic viscous split stress-G/streamline upwind Petrov Galerkin (DEVSS-G/SUPG) formulation was adopted as a stabilization method. The vortex size decreased as elasticity increases. However, the vortex enhancement was also observed in the case of large extensibility, which means that the vortex behavior is strongly dependent upon the material parameters. The longitudinal gradient of normal stress was found to retard the formation of vortex, whereas the extensional viscosity played a role in the vortex enhancement. The present results are expected to be helpful for understanding the inertial vortex dynamics of viscoelastic fluids in the flow past a confined cylinder.

Advances in solution of classical generalized eigenvalue problem

  • Chen, P.;Sun, S.L.;Zhao, Q.C.;Gong, Y.C.;Chen, Y.Q.;Yuan, M.W.
    • Interaction and multiscale mechanics
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    • 제1권2호
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    • pp.211-230
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    • 2008
  • Owing to the growing size of the eigenvalue problem and the growing number of eigenvalues desired, solution methods of iterative nature are becoming more popular than ever, which however suffer from low efficiency and lack of proper convergence criteria. In this paper, three efficient iterative eigenvalue algorithms are considered, i.e., subspace iteration method, iterative Ritz vector method and iterative Lanczos method based on the cell sparse fast solver and loop-unrolling. They are examined under the mode error criterion, i.e., the ratio of the out-of-balance nodal forces and the maximum elastic nodal point forces. Averagely speaking, the iterative Ritz vector method is the most efficient one among the three. Based on the mode error convergence criteria, the eigenvalue solvers are shown to be more stable than those based on eigenvalues only. Compared with ANSYS's subspace iteration and block Lanczos approaches, the subspace iteration presented here appears to be more efficient, while the Lanczos approach has roughly equal efficiency. The methods proposed are robust and efficient. Large size tests show that the improvement in terms of CPU time and storage is tremendous. Also reported is an aggressive shifting technique for the subspace iteration method, based on the mode error convergence criteria. A backward technique is introduced when the shift is not located in the right region. The efficiency of such a technique was demonstrated in the numerical tests.