Skip to content

Commit

Permalink
Removing tabs and trailing whitespaces
Browse files Browse the repository at this point in the history
  • Loading branch information
Mahesh Natarajan committed Feb 15, 2024
1 parent e804cf5 commit 7255b36
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions Docs/sphinx_doc/theory/WindFarmModels.rst
Original file line number Diff line number Diff line change
Expand Up @@ -4,12 +4,12 @@ Wind farm models
Introduction
-------------

ERF supports models for wind farm parametrization in which the effects of wind turbines are represented by imposing a momentum sink on the mean flow and/or turbulent kinetic energy (TKE). Currently only the Fitch model (`Fitch et al. 2012`_) is supported.
ERF supports models for wind farm parametrization in which the effects of wind turbines are represented by imposing a momentum sink on the mean flow and/or turbulent kinetic energy (TKE). Currently only the Fitch model (`Fitch et al. 2012`_) is supported.

Fitch model
------------

The Fitch model for wind farms introduced in `Fitch et al. 2012`_ models the effect of wind farms as source terms in the governing equations for the horizontal components of momentum (i.e., :math:`x` and :math:`y` momentum) and the turbulent kinetic energy (TKE). At a given cell :math:`(i,j,k)`, the source terms in the governing equations are
The Fitch model for wind farms introduced in `Fitch et al. 2012`_ models the effect of wind farms as source terms in the governing equations for the horizontal components of momentum (i.e., :math:`x` and :math:`y` momentum) and the turbulent kinetic energy (TKE). At a given cell :math:`(i,j,k)`, the source terms in the governing equations are

.. _`Fitch et al. 2012`: https://journals.ametsoc.org/view/journals/mwre/140/9/mwr-d-11-00352.1.xml

Expand Down Expand Up @@ -40,11 +40,11 @@ where :math:`A_{ks}` is the area of the segment of the circle as shown in Fig. 1

.. math::
A_{ks} = R^2\theta_k - d_k\sqrt{R^2 - d_k^2}
A_{ks} = R^2\theta_k - d_k\sqrt{R^2 - d_k^2}
where :math:`\theta_k = \cos^{-1}\left(\frac{d_k}{R}\right)`.

Hence, we have the intersected area :math:`A_{ijk}\equiv A_k^{k+1}` as
Hence, we have the intersected area :math:`A_{ijk}\equiv A_k^{k+1}` as

.. math::
Expand Down

0 comments on commit 7255b36

Please sign in to comment.