Postdoc at Umeå University, Sweden
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Consider an ice-shelf which is assumed to be a two dimensional elastic
body. The ice-shelf is fixed at the landward end
The objective of the problem is to study the vibrations of the
ice-shelf in response to the waves generated in the open ocean
region. The problem is solved using the finite element method and the
displacement of the ice-shelf are shown in the videos below. The code
is available on Github which was
also published in the Journal of Open Source Software. The video below
compares the vibration of an ice-shelf (modelled as a clamped elastic
body) vs an iceberg (modelled as a free elastic body) subject to the
same incident wave forcing. The semi-infinite boundary in Figure 1 is
treated using a non-local boundary condition defined on the boundary
Kalyanaraman, B., Meylan, M. H., Bennetts, L. G., & Lamichhane, B. P. (2020). A coupled fluid-elasticity model for the wave forcing of an ice-shelf. Journal of Fluids and Structures, 97, 103074.
Gradient recovery methods are popular numerical techniques to approximate the gradient of the solution. They have super convergence property and are used in adaptive refinement. Gradient recovery techniques based on oblique projection are well studied for the finite element methods.
A gradient recovery technique based on the oblique projection can be
defined for virtual element methods on Polygonal meshes. In the
virtual element setting, the gradient recovery operator projects
with
where the scaling factors
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You can find the full article online published in the ANZIAM Journal. Do read my blog post on how it can be made better!! Also, check out this repository for the MATLAB codes.
© 2019- Balaje Kalyanaraman. Hosted on Github pages. Based on the Minimal Theme by orderedlist