{"id":174,"date":"2022-07-20T08:17:25","date_gmt":"2022-07-20T08:17:25","guid":{"rendered":"https:\/\/blog.metu.edu.tr\/akarakus\/?page_id=174"},"modified":"2026-03-11T09:42:36","modified_gmt":"2026-03-11T09:42:36","slug":"publications","status":"publish","type":"page","link":"https:\/\/blog.metu.edu.tr\/akarakus\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"

Published Papers<\/span><\/span><\/strong><\/h4>\n\n\n
    \n
  1. Aygun A<\/strong>., Karakus A<\/strong>. (2024). Physics-Informed Neural Networks for Weakly Compressible Flows Using Galerkin-Boltzmann Formulation. Physics of Fluids 36 (11)<\/em>, 117125.<\/li>\n\n\n\n
  2. Aygun A<\/strong>., Maulik R., Karakus A<\/strong>. (2023). Physics-Informed Neural Networks for Mesh Deformation Problems with Exact Boundary Enforcement. Engineering Applications of Artificial Intelligence, 125<\/em>, 106660.<\/li>\n\n\n\n
  3. Fischer, P., Kerkemeier, S., Min, M., Lan, Y. H., Phillips, M., Rathnayake, T., …, Karakus A.<\/strong>, … & Warburton, T. (2022). NekRS, a GPU-Accelerated Spectral Element Navier-Stokes Solver. Parallel Computing<\/em>.<\/li>\n\n\n\n
  4. Aygun, A.<\/strong>, & Karakus, A.<\/strong> (2022). Physics Informed Neural Networks for Two Dimensional Incompressible Thermal Convection Problems. Is\u0131 Bilimi ve Tekni\u011fi Dergisi<\/em>, 42(2)<\/em>, 221-232.<\/li>\n\n\n\n
  5. Karakus, A.<\/strong>, Chalmers, N., & Warburton, T. (2022). A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes. Computers & Mathematics with Applications<\/em>, 123<\/em>, 160-170.<\/li>\n\n\n\n
  6. Karakus, A.<\/strong> (2022). An accelerated nodal discontinuous Galerkin method for thermal convection on unstructured meshes: formulation and validation. Is\u0131 Bilimi ve Tekni\u011fi Dergisi<\/em>, 42<\/em>(1), 91-100.<\/li>\n\n\n\n
  7. Abdelfattah, A., Barra, V., Beams, N., Bleile, R., Brown, J., Camier, J. S.,…, Karakus A.<\/strong>, … & Weiss, K. (2021). GPU algorithms for efficient exascale discretizations. Parallel Computing<\/em>, 108<\/em>, 102841.<\/li>\n\n\n\n
  8. Kolev, T., Fischer, P., Min, M., Dongarra, J., Brown, J., Dobrev, V., …, Karakus A.<\/strong>, … & Tomov, V. (2021). Efficient exascale discretizations: High-order finite element methods. The International Journal of High Performance Computing Applications<\/em>, 35<\/em>(6), 527-552.<\/li>\n\n\n\n
  9. Karakus, A.<\/strong>, Chalmers, N., Hesthaven, J. S., & Warburton, T. (2019). Discontinuous Galerkin discretizations of the Boltzmann\u2013BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers. Journal of Computational Physics<\/em>, 390<\/em>, 175-202.<\/li>\n\n\n\n
  10. Karakus, A.<\/strong>, Chalmers, N., \u015awirydowicz, K., & Warburton, T. (2019). A GPU accelerated discontinuous Galerkin incompressible flow solver. Journal of Computational Physics<\/em>, 390<\/em>, 380-404.<\/li>\n\n\n\n
  11. \u015awirydowicz, K., Chalmers, N., Karakus, A.<\/strong>, & Warburton, T. (2019). Acceleration of tensor-product operations for high-order finite element methods. The International Journal of High Performance Computing Applications<\/em>, 33<\/em>(4), 735-757.<\/li>\n\n\n\n
  12. Karakus, A.<\/strong>, Warburton, T., Aksel, M. H., & Sert, C. (2018). An adaptive fully discontinuous Galerkin level set method for incompressible multiphase flows. International Journal of Numerical Methods for Heat & Fluid Flow<\/em>.<\/li>\n\n\n\n
  13. Karakus, A.<\/strong>, Warburton, T., Aksel, M. H., & Sert, C. (2016). A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method. Computers & Mathematics with Applications<\/em>, 72<\/em>(3), 755-767.<\/li>\n\n\n\n
  14. Karakus, A.<\/strong>, Warburton, T., Aksel, M. H., & Sert, C. (2016). A GPU-accelerated adaptive discontinuous Galerkin method for level set equation. International Journal of Computational Fluid Dynamics<\/em>, 30<\/em>(1), 56-68.<\/li>\n<\/ol>\n\n\n\n

    Technical Reports<\/strong><\/h4>\n\n\n\n
      \n
    1. Kolev, T., Fischer, P., Abdelfattah, A., Ananthan, S., Barra, V., Beams, N., Karakus A.<\/strong>, … & Weiss, K. (2020). CEED-MS34: Improve performance and capabilities of CEED-enabled ECP applications on Summit\/Sierra. Exascale Computing Project Milestone Report<\/em> (No. LLNL-TR-808458). Lawrence Livermore National Lab.(LLNL), Livermore, CA (United States).<\/li>\n\n\n\n
    2. Kolev, T., Fischer, P., Abdelfattah, A., Ananthan, S., Barra, V., Beams, N., Karakus A.<\/strong>, … & Weiss, K. (2020). ECP Milestone Report Improve performance and capabilities of CEED-enabled ECP applications on Summit\/Sierra WBS 2.2. 6.06, Milestone CEED-MS34.<\/li>\n\n\n\n
    3. Tomov, S., Abdelfattah, A., Barra, V., Beams, N., Brown, J., Camier, J. S., Karakus A.<\/strong>, … & Warburton, T. (2019). ECP Milestone Report Performance tuning of CEED software and 1st and 2nd wave apps WBS 2.2. 6.06, Milestone CEED-MS32.<\/li>\n\n\n\n
    4. Min, M., Camier, J. S., Fischer, P., Karakus, A.<\/strong>, Kerkemeier, S., Kolev, T., … & Warburton, T. (2018). ECP Milestone Report Engage second wave ECP\/CEED applications WBS 2.2. 6.06, Milestone CEED-MS23<\/li>\n<\/ol>\n\n\n\n

      Submitted Papers<\/strong><\/h4>\n\n\n\n

      <\/p>\n\n\n\n

        \n
      • Kaya F<\/strong>., Koc B., Aygun A.<\/strong>, Ata O.<\/strong> Karakus A.<\/strong> (2026). Hybrid ROM-PINN Framework for Closure Modeling in Convection-Dominated Systems. arXiv:2603.01998<\/em><\/li>\n\n\n\n
      • Ata O.,<\/strong> Aygun A.,<\/strong> Warburton T., Karakus A.<\/strong> (2026). Implicit Large Eddy Simulation of Nearly Incompressible Flows with a Discontinuous Galerkin-Boltzmann Formulation. arXiv:2601.00726<\/em><\/li>\n<\/ul>\n\n\n\n

        <\/p>\n","protected":false},"excerpt":{"rendered":"

        Published Papers Technical Reports Submitted Papers<\/p>\n","protected":false},"author":7862,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-174","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/pages\/174","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/users\/7862"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/comments?post=174"}],"version-history":[{"count":0,"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/pages\/174\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/media?parent=174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}