• Title/Summary/Keyword: nonlinear coupling

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UNCONDITIONALLY STABLE GAUGE-UZAWA FINITE ELEMENT METHODS FOR THE DARCY-BRINKMAN EQUATIONS DRIVEN BY TEMPERATURE AND SALT CONCENTRATION

  • Yangwei Liao;Demin Liu
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.93-115
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    • 2024
  • In this paper, the Gauge-Uzawa methods for the Darcy-Brinkman equations driven by temperature and salt concentration (DBTC) are proposed. The first order backward difference formula is adopted to approximate the time derivative term, and the linear term is treated implicitly, the nonlinear terms are treated semi-implicit. In each time step, the coupling elliptic problems of velocity, temperature and salt concentration are solved, and then the pressure is solved. The unconditional stability and error estimations of the first order semi-discrete scheme are derived, at the same time, the unconditional stability of the first order fully discrete scheme is obtained. Some numerical experiments verify the theoretical prediction and show the effectiveness of the proposed methods.

Analysis of Semi-Infinite Problems Subjected to Body Forces Using Nonlinear Finite Elements and Boundary Elements (물체력이 작용되는 반무한영역문제의 비선형유한요소-경계요소 조합해석)

  • Hwang, Hak Joo;Kim, Moon Kyum;Huh, Taik Nyung;Ra, Kyeong Woong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.1
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    • pp.45-53
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    • 1991
  • The underground structure, which has infinite or semi-infinite boundary conditions, is subjected by body forces and in-situ stresses. It also has stress concentration, which causes material nonlinear behavior, in the vicinity of the excavated surface. In this paper, some methods which can be used to transform domain integrals into boundary integrals are reviewed in order to analyze the effect of the body forces and the in-situ stresses. First, the domain integral of the body force is transformed into boundary integral by using the Galerkin tensor and divergence theorem. Second, it is transformed by writing the domain integral in cylindrical coordinates and using direct integration. The domain integral of the in-situ stress is transformed into boundary integral applying the direct integral method in cylindrical coordinates. The methodology is verified by comparing the results from the boundary element analysis with those of the finite element analysis. Coupling the above boundary elements with finite elements, the nonlinear behavior that occurs locally in the vicinity of the excavation is analyzed and the results are verified. Thus, it is concluded that the domain integrals of body forces and in-situ stresses could be performed effectively by transforming them into the boundary integrals, and the nonlinear behavior can be reasonably analyzed by coupled nonlinear finite element and boundary element method. The result of this research is expected to he used for the analysis of the underground structures in the effective manner.

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Direct Time Domain Method for Nonlinear Earthquake Response Analysis of Dam-Reservoir Systems (댐-호소계 비선형 지진응답의 직접시간영역 해석기법)

  • Lee, Jin-Ho;Kim, Jae-Kwan
    • Journal of the Earthquake Engineering Society of Korea
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    • v.14 no.3
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    • pp.11-22
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    • 2010
  • An analysis method is proposed for the transient linear or nonlinear analysis of dynamic interactions between a flexible dam body and reservoir impounding compressible water under earthquake loadings. The coupled dam-reservoir system consists of three substructures: (1) a dam body with linear or nonlinear behavior; (2) a semi-infinite fluid region with constant depth; and (3) an irregular fluid region between the dam body and far field. The dam body is modeled with linear and/or nonlinear finite elements. The far field is formulated as a displacement-based transmitting boundary in the frequency domain that can radiate energy into infinity. Then the transmitting boundary is transformed for the direct coupling in the time domain. The near field region is modeled as a compressible fluid contained between two substructures. The developed method is verified and applied to various earthquake response analyses of dam-reservoir systems. Also, the method is applied to a nonlinear analysis of a concrete gravity dam. The results show the location and severity of damage demonstrating the applicability to the seismic evaluation of existing and new dams.

Application of LRBs for Reduction of Wind-Induced Responses of Coupled Shear Wall Structures (전단벽 구조물의 풍응답 저감을 위한 LRB의 적용)

  • Park, Yong-Koo;Kim, Hyun-Su;Ko, Hyun;Kim, Min-Gyun;Lee, Dong-Guen
    • Journal of Korean Association for Spatial Structures
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    • v.11 no.1
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    • pp.47-56
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    • 2011
  • In general, shear walls are employed as lateral resistance system. Most of shear wall structures require openings in shear walls and thus shear walls are linked by floor slabs or coupling beams resulting in the coupled shear wall structures. In this study, an LRB (lead rubber bearing) was introduced in the middle of the coupling beam of the coupled shear wall structures and the wind-induced response reduction effect of this system was investigated. In order to evaluate the control performance of the proposed method, 20- and 30-story building structures were used as example structures and boundary nonlinear time history analyses have been performed using artificial wind excitation. Japanese vibration evaluation criteria was employed to evaluate whether the proposed system could improve the serviceability of the tall coupled shear wall structures under wind excitation. Based on analytical results, it has been shown that the proposed method that connects shear walls with LRBs can improve the wind-induced response control effect.

A Design and Implementation of Digital Ultra-Narrowband Walky-Talky Using Direct Conversion Method (직접 변환 방식을 이용한 디지털 초협대역 무전기 설계 및 구현)

  • Chong Young-Jun;Kang Min-Soo;Yoo Sung-Jin;Chung Tae-Jin;Oh Seung-Hyeub
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.6 s.97
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    • pp.603-614
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    • 2005
  • In this paper, digital ultra-narrowband Walky-Talky using direct conversion method for CQPSK modulation scheme is implemented with satisfying the requirements of APCO P25. RF transceiver design and implementation scheme that minimize the influence of DC-offset and AC-coupling at ultra-narrowband is proposed. This scheme also minimizes the influence of nonlinear characteristic at power amplifier fir CQPSK modulation method. Test results of full system including DSP module and direct conversion RF transceiver show that FCC emission mask at 36.8 dBm PEP meets the standard requirements. The characteristic of receiver AGC by PWM control signal is linear at 40 dB dynamic range and voice communication at input power level of -116 dBm is successful. Also it is verified that the performance of BER versus frequency offset and versus SNR meets the standard requirements.

Algorithms for Detecting Coupling Faults in Semiconductor RAM's (반도체 RAM의 결합고장을 검출하는 알고리듬)

  • 여정모;조상복
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.1
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    • pp.51-63
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    • 1993
  • "Algorithm DA" is proposed to test linked 2-CFs(2-Coupling Faults) with order 2 or 3 which are not perfectly detected in conventional algorithms. "Test 1*", "Test 2*" and "Algorithm RA" are proposed restricted 3-CFS. The time complexity of "Test 1*" is reduced in view of the detection of 3-CFS. "Test 2*" and "Algorithm RA" have not only the reduces time complexity but also the improved fault coverage in comparison with conventional algorithms. And "Algorithm RA" can be applied step by step according to the degree of the fault coverage. If "Algorithm RA" is applied to the memory with parallel test. its time complexity is reduced considerably. It is proved that the MT(March Test) with nonlinear address sequences can not detect perfectly the CFs more complex than linked 2-CFs with order 3.ss sequences can not detect perfectly the CFs more complex than linked 2-CFs with order 3.

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A Current Controller with the Compensation of the Input Voltage Unbalance and Distortion for Three Phase PWM Rectifier (전원전압의 불평형 및 왜곡 보상기능을 갖는 3상 PWM 정류기의 전류제어기)

  • Shin, Hee-Keun;Kim, Hag-Wone;Cho, Kwan-Yuhl;Lim, Byung-Kuk
    • The Transactions of the Korean Institute of Power Electronics
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    • v.16 no.6
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    • pp.594-601
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    • 2011
  • In this paper, a new current controller with the compensation of an unbalance and distorted grid voltages has been proposed. Generally, in the three-phase power system, single phase or nonlinear loads can be connected with the 3 phase linear load simultaneously on the same point of common coupling. Therefore, The source voltage unbalance and distortion problem can be occurred. Under these unbalance and distorted grid voltage conditions, the input current of 3 phase PWM rectifiers also have unbalance and distortion. In this paper, a current controller with the simple Model Reference Adaptive System based unbalance and distorted voltages observer is proposed to get a sinusoidal input current. The performance of the proposed algorithm is verified through the simulation and the experiment.

Application based on the strictly combined method of BEM and CADMAS-SURF (BEM-CADMAS-SURF 결합해석법에 기초한 수치조파수조의 응용)

  • Kim, Sang-Ho;Yamashiro, Masaru;Yoshida, Akinori;Shin, Seung-Ho;Hong, Key-Yong
    • Journal of Navigation and Port Research
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    • v.33 no.1
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    • pp.65-70
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    • 2009
  • The hybrid numerical model is developed by combining BEM that can calculate the wave motion rapidly under the potential theory and CADMAS-SURF that solves Navier-Stokes equations for the free surface variation near the structure, In the hybrid model the calculation of wave motion in a wide field of wave reflection for deep water area is conducted by BEM but for shallow water area by CADMAS-SURF. Especially the hybrid model can calculate random wave motions for long term period more rapidly with almost similar accuracy than the calculation of wave motion which was carried out by CADMAS-SURF only. In this study the coupling model was applied to the calculation of the strong nonlinear wave motion such as wave runup and overtopping at the coastal structure on the mild-slope bottom and the results of numerical model were compared with the Toyosima's experiments of regular wave runup and Goda's design diagram of ramdom wave overtopping, respectively.

Design of Power Detection Block for Wireless Communication Transmitter Systems (무선통신 송신시스템용 전력검출부 설계)

  • Hwang, Mun-Su;Koo, Jae-Jin;Ahn, Dal;Lim, Jong-Sik
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.8 no.5
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    • pp.1000-1006
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    • 2007
  • This paper presents a power detector circuit which monitors the transmitting power for the application in CDMA cell phones. The proposed power detector are composed of coupler for coupling output power and detector fur monitoring output power. The designed coupler has low loss characteristic because it adopts the stripline structure which consists of two ground planes at both sides of signal plane. The design frequency is 824-849MHz which is the Tx band fur CDMA mobile terminal, and the coupling factor of the stripline coupler is -20dB. A schottky barrier diode is adopted for detector design because of its high speed operation with minimized loss. The required impedance matching is performed to improve the linearity and sensitivity of output voltage at relatively low detector input level where the nonlinear characteristic of diode exists. The package parasitics as well as intrinsic diode model are considered for simulation of the detector. The predicted performances agree well with the measured results.

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A zonal hybrid approach coupling FNPT with OpenFOAM for modelling wave-structure interactions with action of current

  • Li, Qian;Wang, Jinghua;Yan, Shiqiang;Gong, Jiaye;Ma, Qingwei
    • Ocean Systems Engineering
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    • v.8 no.4
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    • pp.381-407
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    • 2018
  • This paper presents a hybrid numerical approach, which combines a two-phase Navier-Stokes model (NS) and the fully nonlinear potential theory (FNPT), for modelling wave-structure interaction. The former governs the computational domain near the structure, where the viscous and turbulent effects are significant, and is solved by OpenFOAM/InterDyMFoam which utilising the finite volume method (FVM) with a Volume of Fluid (VOF) for the phase identification. The latter covers the rest of the domain, where the fluid may be considered as incompressible, inviscid and irrotational, and solved by using the Quasi Arbitrary Lagrangian-Eulerian finite element method (QALE-FEM). These two models are weakly coupled using a zonal (spatially hierarchical) approach. Considering the inconsistence of the solutions at the boundaries between two different sub-domains governed by two fundamentally different models, a relaxation (transitional) zone is introduced, where the velocity, pressure and surface elevations are taken as the weighted summation of the solutions by two models. In order to tackle the challenges associated and maximise the computational efficiency, further developments of the QALE-FEM have been made. These include the derivation of an arbitrary Lagrangian-Eulerian FNPT and application of a robust gradient calculation scheme for estimating the velocity. The present hybrid model is applied to the numerical simulation of a fixed horizontal cylinder subjected to a unidirectional wave with or without following current. The convergence property, the optimisation of the relaxation zone, the accuracy and the computational efficiency are discussed. Although the idea of the weakly coupling using the zonal approach is not new, the present hybrid model is the first one to couple the QALE-FEM with OpenFOAM solver and/or to be applied to numerical simulate the wave-structure interaction with presence of current.