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_tutorials/design_features/Unsteady_Shape_Opt_NACA0012.md

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Figure (1): Baseline NACA0012 airfoil (left), optimized design using Square-windowing (middle) and optimized design using Hann-Square-windowing (right).
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## Goals ##
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It is assumed, that the user is familiar with the shape optimization capabilities of SU2 in steady state flows, which are explained in the previous tutorials about shape optimization.
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Upon completing this tutorial, the user will be familiar with perfoming a optimization of an viscous, unsteady, periodic flow about a 2D geometry using the URANS equations.
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It is assumed, that the user is familiar with the shape optimization capabilities of SU2 in steady state flows, which are explained in
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the previous tutorials.
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Upon completing this tutorial, the user will be familiar with perfoming an optimization of a viscous, unsteady, periodic flow about
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a 2D geometry using the URANS equations.
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The specific geometry chosen for the tutorial is the classic NACA0012 airfoil.
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Consequently, the following capabilities of SU2 will be showcased in this tutorial:
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- Windowed sensitivity calculation
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- Unsteady adjoints
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- Unsteady Optimization
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- Code parallelism (optional)
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This tutorial uses the windowing techniques explained in [here](../Unsteady_NACA0012.md), to compute meaningful optimization objectives. Hence it is recommended to read this tutorial first.
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This tutorial uses the windowing techniques explained in [here](../Unsteady_NACA0012.md), to compute meaningful optimization objectives.
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Hence it is recommended to read that tutorial first.
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## Resources ##
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## Tutorial ##
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The following tutorial will walk you through the steps required when performing a shape optimization of the NACA0012 airfoil using SU2.
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The tutorial will also address procedures for both serial and parallel computations.
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The tutorial will also address procedures for parallel computations.
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To this end, it is assumed you have already obtained and compiled SU2_CFD and its adjoint capabilities.
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If you have yet to complete these requirements, please see the [Download](/docs/Download/) and [Installation](/docs/Installation/) pages.
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### Mesh Description ###
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The computational domain consists of a grid of 14495 quadrilaterals, that sourrounds the NACA0012 airfoil. We note that this is a very coarse mesh, and should one wish to obtain more accurate solutions for comparison with results in the literature, finer grids should be used.
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Two boundary conditions are employed: the Navier-Stokes adiabatic wall condition on the wing surface and the far-field characteristic-based condition on the far-field marker.
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Two boundary conditions are employed: The Navier-Stokes adiabatic wall condition on the wing surface and the far-field characteristic-based condition on the far-field marker.
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### Problem Setup ###
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