Dataset and code for "Adjoint-aided homogenization for flows through heterogeneous membranes"

<p>This dataset and code support the manuscript 'Adjoint-aided homogenization for flows through heterogeneous membranes' by Kevin Wittkowski, Edouard Boujo, Fran&ccedil;ois Gallaire and Giuseppe A. Zampogna, under revision in the&nbsp;<em>Journal of Fluid Mechanics</em>, 2024. The data are Stokes flow simulations around an elliptical solid inclusion with periodic boundary conditions. Direct computations of the average flow quantities for several geometry parameters are compared with shape-sensitivity-based predictions obtained by solving a set of direct and adjoint equations around a circular solid inclusion. Please refer to the manuscript for further details.</p> <p><strong>Contents:</strong></p> <ul> <li><em>comsol_code/Mnn.mph, Mtt.mph:</em> COMSOL Multiphysics 6.0 codes used to generate the datasets;</li> <li><em>README.txt</em>: a .txt file describing the code usage;</li> <li><em>Mnn.txt,Mtt.txt</em>: dataset of the direct evaluations of these two average microscopic quantities, input of the .m files;</li> <li><em>S1_Mnn.txt, S2_Mnn.txt, S1_Mtt.txt, S2_Mtt.txt</em>: dataset containing the first and second order shape sensitivities computed on the reference circular geometry, input of the .m files;</li> <li><em>Mnn.m,Mtt.m:</em> MatLab code used to compare the direct evaluations and adjoint predictions of the microscopic quantities;</li> <li><em>ellipse.m</em>: Matlab function to generate the elliptical deformation;</li> <li><em>.fig</em> files: Matlab figures, output of the .m files. They are used to compare the direct evaluation with the prediction based on the adjoint computations.</li> </ul>