Abstract

Fluid-structure interaction (FSI) in a large wind field is still an active area of research with several computational challenges related to the physics of fluid flow yet to be resolved. In the past, numerical methods involving FSI have been applied to problems having physical domains which are small in size.
In this paper, we formulate an approach to simulate two dimensional (2D) wind fields over a domain which is large in size, including the interaction due to the presence of a wind turbine modelled as an actuator disc. We have considered a fluid flow model with constant vorticity and in this connection a reformulation of the potential flow equation has been proposed, with the flow velocity as a primary variable instead of potential function. In the development of the approach, we use an FSI scheme, Decomposed Immersed Interface Method (DIIM), coupled with an Message Passing Interface-based (MPI) Parallel Numerical Scheme. A modified pre-conditioned bi-conjugate gradient stable (PBiCGStab) algorithm and a red-black coloring scheme have been implemented to adapt the DIIM to the parallel setting, with an aim to address FSI problems in a time and memory efficient way, for such large domains. The proposed approach is suitable for application in studying flows in the wake of wind turbines.

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@unpublished{actuator-disc-basu.2021,
title = {A Decomposed Immersed Interface Method for Simulating a Large Wind Field with An Actuator Disc},
author = {Sudipta Basu and Kirk M. Soodhalter and Breiffni Fitzgerald and Biswajit Basu},
year  = {2021},
date = {2021-01-01},
urldate = {2021-01-01},
abstract = {Fluid-structure interaction (FSI) in a large wind field is still an active area of research with several computational challenges related to the physics of fluid flow yet to be resolved.  In the past, numerical methods involving FSI have been applied to problems having physical domains which are small in size. 
 In this paper, we formulate an approach to simulate two dimensional (2D) wind fields over a domain which is large in size, including the interaction due to the presence of a wind turbine modelled as an actuator disc. We have considered a fluid flow model with constant vorticity and in this connection a reformulation of the potential flow equation has been proposed, with the flow velocity as a primary variable instead of potential function.  In the development of the approach, we use an FSI scheme, Decomposed Immersed Interface Method (DIIM), coupled with an Message Passing Interface-based (MPI) Parallel Numerical Scheme. A modified pre-conditioned bi-conjugate gradient stable (PBiCGStab) algorithm and a red-black coloring scheme have been implemented to adapt the DIIM to the parallel setting, with an aim to address FSI problems in a time and memory efficient way, for such large domains. The proposed approach is suitable for application in studying flows in the wake of wind turbines.},
note = {Submitted to Journal},
keywords = {tech},
pubstate = {published},
tppubtype = {unpublished}
}