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Run-up Height around Axis-symmetric Topographies

축 대칭 지형에서의 처오름 높이

  • 정태화 (한밭대학교 건설환경공학부) ;
  • 류용욱 (한국건설기술연구원 수자원하천연구소)
  • Received : 2015.02.06
  • Accepted : 2015.04.14
  • Published : 2015.06.28

Abstract

In this study, we develop numerical model using the elliptic mild-slope equation for waves propagating around axis-symmetric topographies where the water depth varies arbitrarily having zero at the coastline. The entire region is divided into three regions. In the both of inner and outer regions, an existing analytical solutions are used. In the middle region, the finite element technique is applied to the governing equation. To get the solution, the methods of separation of variables, Frobenius series are used. Developed solution is validated by comparing with previously developed analytical solution. We also investigate various cases with different bottom topographies.

본 연구에서는 수심이 해안선에서 0이 되며 임의로 변하는 축 대칭 지형의 주변을 통과하는 파를 해석하기 위하여 타원형 완경사 방정식을 이용한 수치모델을 개발하였다. 수치해석을 위해 전체 영역을 세 부분으로 구분하였는데, 안쪽 및 바깥쪽 영역에서는 기존 해석해를 활용하였으며, 가운데 영역에서는 지배방정식에서 유한요소기법을 적용하였다. 영역 1에서의 해석해는 변수분리법 및 Frobenius 급수를 사용하였다. 개발된 수치해는 기존에 존재하는 해석해와 비교하여 타당성을 검증하였으며 다양한 경우에 적용하여 활용성을 검토하였다.

Keywords

References

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