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A modified domain reduction method for numerical simulation of wave propagation in localized regions

  • Chao LuoEmail author
  • Menglin Lou
  • Guoqing Gui
  • Hao Wang
Article
  • 36 Downloads

Abstract

A modified domain reduction method (MDRM) that introduces damping terms to the original DRM is presented in this paper. To verify the proposed MDRM and compare the computational accuracy of these two methods, a numerical test is designed. The numerical results of the MDRM and DRM are compared using an extended meshed model. The results show that the MDRM significantly improved the computational accuracy of the DRM. Then, the MDRM is compared with two existing conventional methods, namely Liao’s transmitting boundary and viscous-spring boundary with Liu’s method. The MDRM shows its great advancement in computational accuracy, stability and range of applications. This paper also discusses the influence of boundary location on computational accuracy. It can be concluded that smaller models tend to have larger errors. By introducing two dimensionless parameters, φ1 and φ2, the rational distance between the observation point and the MDRM boundary is suggested. When φ1>2 or φ2>13, the relative PGA error can be limited to 5%. In practice, the appropriate model size can be chosen based on these two parameters to achieve desired computational accuracy.

Keywords

modified domain reduction method domain reduction method viscous boundary viscous spring boundary transmitting boundary wave propagation 

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Notes

Acknowledgement

The financial support provided by the China Scholarship Council for Dr. Luo Chao′s two-year visit in the University of California, Davis is greatly appreciated. This work presented was sponsored by the National Natural Science Foundation of China under grant Nos. 91315301, 51478279 and the State Key Laboratory Basic Theory Foundation of the Ministry of Science and Technology of China under the grant SLDRCE08-A-07. These supports are gratefully acknowledged.

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Copyright information

© Institute of Engineering Mechanics, China Earthquake Administration and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Chao Luo
    • 1
    • 3
    • 2
    Email author
  • Menglin Lou
    • 1
    • 2
  • Guoqing Gui
    • 4
  • Hao Wang
    • 1
    • 3
    • 2
  1. 1.School of Civil EngineeringShijiazhuang Tiedao UniversityHebeiChina
  2. 2.Cooperative Innovation Center of Disaster Prevention and Mitigation for Large Infrastructure in Hebei province (Shijiazhuang Tiedao University)HebeiChina
  3. 3.State Key Laboratory of Disaster Reduction in Civil EngineeringTongji UniversityShanghaiChina
  4. 4.School of Architecture and Civil EngineeringJinggangshan UniversityJiangxiChina

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