DOI: 10.1002/2015MS000603
Scopus记录号: 2-s2.0-84995959522
论文题名: Second-order finite volume with hydrostatic reconstruction for tsunami simulation
作者: Clain S ; , Reis C ; , Costa R ; , Figueiredo J ; , Baptista M ; A ; , Miranda J ; M
刊名: Journal of Advances in Modeling Earth Systems
ISSN: 19422466
出版年: 2016
卷: 8, 期: 4 起始页码: 1691
结束页码: 1713
语种: 英语
英文关键词: Bathymetry
; Codes (symbols)
; Equations of motion
; Finite volume method
; Hydraulics
; Tsunamis
; Conservation properties
; Efficient numerical schemes
; Finite volume schemes
; Nonconservative
; Operational environments
; Second orders
; Shallow water equations
; Well- balanced schemes
; Numerical methods
; bathymetry
; finite volume method
; numerical model
; reconstruction
; shallow water
; shallow-water equation
; tsunami
; volume change
; Atlantic Ocean
; Atlantic Ocean (Northeast)
英文摘要: Tsunami modeling commonly accepts the shallow water system as governing equations where the major difficulty is the correct treatment of the nonconservative term due to bathymetry variations. The finite volume method for solving the shallow water equations with such source terms has received great attention in the two last decades. The built-in conservation property, the capacity to correctly treat discontinuities, and the ability to handle complex bathymetry configurations preserving some steady state configurations (well-balanced scheme) make the method very efficient. Nevertheless, it is still a challenge to build an efficient numerical scheme, with very few numerical artifacts (e.g., small numerical diffusion, correct propagation of the discontinuities, accuracy, and robustness), to be used in an operational environment, and that is able to better capture the dynamics of the wet-dry interface and the physical phenomena that occur in the inundation area. In the first part of this paper, we present a new second-order finite volume code. The code is developed for the shallow water equations with a nonconservative term based on the hydrostatic reconstruction technology to achieve a well-balanced scheme and an adequate dry/wet interface treatment. A detailed presentation of the numerical method is given. In the second part of the paper, we highlight the advantages of the new numerical technique. We benchmark the numerical code against analytical, experimental, and field results to assess the robustness and the accuracy of the numerical code. Finally, we use the 28 February 1969 North East Atlantic tsunami to check the performance of the code with real data. © 2016. The Authors. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/75845
Appears in Collections: 影响、适应和脆弱性 气候变化与战略
There are no files associated with this item.
作者单位: Centro de Matemática, Universidade do Minho, Braga, Portugal; Instituto Dom Luiz, Faculdade de Ciências, Universidade de Lisboa, Lisboa, Portugal; Instituto Português do Mar e da Atmosfera, Lisboa, Portugal; Instituto Superior de Engenharia de Lisboa, Lisboa, Portugal
Recommended Citation:
Clain S,, Reis C,, Costa R,et al. Second-order finite volume with hydrostatic reconstruction for tsunami simulation[J]. Journal of Advances in Modeling Earth Systems,2016-01-01,8(4)