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An immersed boundary method for unstructured meshes in depth averaged shallow water models

Ouro, Pablo, Cea, Luis, Ramírez, Luis and Nogueira, Xesús 2016. An immersed boundary method for unstructured meshes in depth averaged shallow water models. International Journal for Numerical Methods in Fluids 81 (11) , pp. 672-688. 10.1002/fld.4201

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Abstract

The representation of geometries as buildings, flood barriers or dikes in free surface flow models implies tedious and time-consuming operations in order to define accurately the shape of these objects when using a body fitted numerical mesh. The immersed boundary method is an alternative way to define solid bodies inside the computational domain without the need of fitting the mesh boundaries to the shape of the object. In the direct forcing immersed boundary method, a solid body is represented by a grid of Lagrangian markers, which define its shape and which are independent from the fluid Eulerian mesh. This paper presents a new implementation of the immersed boundary method in an unstructured finite volume solver for the 2D shallow water equations. Moving least-squares is used to transmit information between the grid of Lagrangian markers and the fluid Eulerian mesh. The performance of the proposed implementation is analysed in three test cases involving different flow conditions: the flow around a spur dike, a dam break flow with an isolated obstacle and the flow around an array of obstacles. A very good agreement between the classic body fitted approach and the immersed boundary method was found. The differences between the results obtained with both methods are less relevant than the errors because of the intrinsic shallow water assumptions.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords: immersed boundary method; moving least-squares; unstructured grids; shallow water equations; direct forcing; finite volumes
Publisher: John Wiley & Sons, Ltd.
ISSN: 0271-2091
Date of Acceptance: 7 November 2015
Last Modified: 07 Feb 2019 15:12
URI: http://orca.cf.ac.uk/id/eprint/93714

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