Application of perfectly matched layers in the transient analysis of dam–reservoir systems

Khazaee, Adib; Lotfi, Vahid

doi:10.1016/j.soildyn.2014.01.005

Cited by 36 publications

(17 citation statements)

References 22 publications

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“…erefore they participate in the calculation of equivalent seismic loads, and thus the restrictions on the applied artificial boundaries are more severe in BSM. Namely, they need to be the stress-type boundary conditions (such as the viscous boundaries [16] and the viscoelastic boundaries [17,18]), while the displacement-type artificial boundaries such as transmitting boundaries [14,15] or the perfectly matched layers [12,13] are not applicable in BSM. e original and modified ISMs avoid the participation of the artificial boundaries in the process of equivalent loads calculation by spatially separating the input of seismic waves and the absorption of scattered waves.…”

Section: Characteristicsmentioning

confidence: 99%

“…e representative achievements in the artificial boundaries include the boundary element method [9,10], the infinite element method [11], perfectly matched layers [12,13], transmitting boundaries [14,15], viscous boundaries [16], viscoelastic boundaries [17,18], and exact absorbing boundaries [19,20]. However, due to the application of the artificial boundaries, a new problem appears in inputting the seismic waves into the finite model without affecting the transmission of outgoing waves.…”

Section: Introductionmentioning

confidence: 99%

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Modification Research of the Internal Substructure Method for Seismic Wave Input in Deep Underground Structure‐Soil Systems

Bao

Liu

Wang

et al. 2019

Shock and Vibration

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A new internal substructure method for seismic wave input in soil-structure systems was recently proposed. This method simplifies the calculation of equivalent input seismic loads and avoids the participation of artificial boundaries in the process of seismic wave input. However, in previous research and applications, the internal substructures are usually intercepted down from the free surface, which forms large substructures and increases the computational effort for data management on the substructure nodes, especially for deep underground structures. In this study, the internal substructure method is modified by intercepting the internal substructures entirely beneath the free surface and adjacently around the underground structures. Then, the equivalent input seismic loads are obtained through the dynamic analysis of the internal substructures and applied to the corresponding positions of the total soil-structure models. Thus, the earthquake energy can be more efficiently input into the region near the underground structures without losing computational accuracy. We provide the detailed implementation procedures of this modified method and validate its applicability and accuracy through the scattered problems of underground cavities in homogeneous and layered half-space sites.

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Section: Characteristicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modification Research of the Internal Substructure Method for Seismic Wave Input in Deep Underground Structure‐Soil Systems

Bao

Liu

Wang

et al. 2019

Shock and Vibration

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“…Considering the complexity of the dam-reservoir-foundation geometry, most of the recent studies used two-dimensional (2D) numerical models to analyze the seismic effect on the dynamic behavior of concrete dams [26][27][28] and embanked dams [29,30]. Most of these studies depended on the FE method concept.…”

Section: Vibration Effect On Dam Bodymentioning

confidence: 99%

Minimizing the Principle Stresses of Powerhoused Rock-Fill Dams Using Control Turbine Running Units: Application of Finite Element Method

Ameen

Ibrahim

Othman

et al. 2018

Water

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This study focuses on improving the safety of embankment dams by considering the effects of vibration due to powerhouse operation on the dam body. The study contains two main parts. In the first part, ANSYS-CFX is used to create the three-dimensional (3D) Finite Volume (FV) model of one vertical Francis turbine unit. The 3D model is run by considering various reservoir conditions and the dimensions of units. The Re-Normalization Group (RNG) k-ε turbulence model is employed, and the physical properties of water and the flow characteristics are defined in the turbine model. In the second phases, a 3D finite element (FE) numerical model for a rock-fill dam is created by using ANSYS®, considering the dam connection with its powerhouse represented by four vertical Francis turbines, foundation, and the upstream reservoir. Changing the upstream water table minimum and maximum water levels, standers earth gravity, fluid-solid interface, hydrostatic pressure, and the soil properties are considered. The dam model runs to cover all possibilities for turbines operating in accordance with the reservoir discharge ranges. In order to minimize stresses in the dam body and increase dam safety, this study optimizes the turbine operating system by integrating turbine and dam models.

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“…This means that: C = (2 =!) K: (3) Moreover, it should be emphasized that superscript h on the acceleration vector refers to the horizontal type of excitation. That is:…”

Section: Dam Bodymentioning

confidence: 99%

“…The former region is discretized by plane uid nite elements and the latter part is modelled by a twodimensional uid hyper-element [1][2][3]. It is well-known that employing uid hyper-elements would lead to the exact solution of the problem.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of concrete gravity dam-reservoir systems by Wavenumber approach for the general reservoir base condition

Jafari

Lotfi

2017

Scientia Iranica

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Abstract. Di erent approaches are utilized for dynamic analysis of concrete gravity dam-reservoir systems. The rigorous approach to solving this problem employs a twodimensional semi-in nite uid element (i.e., hyper-element). Recently, a technique has been proposed to perform the dynamic analysis of dam-reservoir systems in the pure niteelement programming context, referred to as the wavenumber approach. Of course, certain limitations have been imposed on the reservoir base condition in the initial form of this technique to simplify the problem. However, this is presently discussed for the general reservoir base condition, contrary to the previous study which was merely limited to the fully re ective reservoir base case. In this technique, the wavenumber condition is imposed on the truncation boundary or the upstream face of the near-eld water domain. The method is initially described. Subsequently, the response of an idealized triangular damreservoir system is obtained by this approach, and the results are compared against those of the exact response. Based on this investigation, it is concluded that this approach can be envisaged as a great substitute for the rigorous type of analysis under the general reservoir base condition.

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Application of perfectly matched layers in the transient analysis of dam–reservoir systems

Cited by 36 publications

References 22 publications

Modification Research of the Internal Substructure Method for Seismic Wave Input in Deep Underground Structure‐Soil Systems

Modification Research of the Internal Substructure Method for Seismic Wave Input in Deep Underground Structure‐Soil Systems

Minimizing the Principle Stresses of Powerhoused Rock-Fill Dams Using Control Turbine Running Units: Application of Finite Element Method

Dynamic analysis of concrete gravity dam-reservoir systems by Wavenumber approach for the general reservoir base condition

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