{"id":2,"date":"2021-10-08T11:31:13","date_gmt":"2021-10-08T11:31:13","guid":{"rendered":"https:\/\/blog.metu.edu.tr\/akarakus\/?page_id=2"},"modified":"2025-11-14T07:05:53","modified_gmt":"2025-11-14T07:05:53","slug":"research","status":"publish","type":"page","link":"https:\/\/blog.metu.edu.tr\/akarakus\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\n<p>Here is the short list of research projects in the group<\/p>\n\n\n\n<p><strong>High-order compressible flow solvers.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>GPU-acceleration, performance improvements.<\/li>\n\n\n\n<li>Multiphase flows with level-set interface capturing. <\/li>\n\n\n\n<li>Jacobian-free Newton-Krylov Methods<\/li>\n\n\n\n<li>Stabilization mechanisms and their performances on GPUs<\/li>\n<\/ul>\n\n\n\n<p><strong>High-order Boltzmann solvers.<\/strong><\/p>\n\n\n\n<ul id=\"block-b1698bd3-414b-48e1-9e5b-9460fda26729\" class=\"wp-block-list\">\n<li>Discontinuous Galerkin Lattice Boltzmann Methods.<\/li>\n\n\n\n<li>Galerkin Boltzmann Methods for Weakly Compressible Flows.<\/li>\n\n\n\n<li>Discontinuous Galerkin Lattice Boltzmann Methods for Multiphase Flows.<\/li>\n\n\n\n<li>Discontinuous Galerkin Boltzmann Solvers for Rarefied and High-Mach Flows    <\/li>\n<\/ul>\n\n\n\n<p><strong>High-order incompressible flow solvers.<\/strong><\/p>\n\n\n\n<ul id=\"block-b1698bd3-414b-48e1-9e5b-9460fda26729\" class=\"wp-block-list\">\n<li>GPU-acceleration, performance improvements.<\/li>\n\n\n\n<li>Linear solvers and preconditioners for pressure-Poisson equations on GPUs. <\/li>\n\n\n\n<li>Multiphase flows with level-set interface capturing. <\/li>\n\n\n\n<li>Arbitrary Lagrangian-Eulerian (ALE) and mesh modifications on GPU. <\/li>\n\n\n\n<li>Efficient adaptive mesh refinement (AMR) on GPUs.<\/li>\n<\/ul>\n\n\n\n<p><strong>Data-Driven Methods for flow problems<\/strong><\/p>\n\n\n\n<ul id=\"block-b1698bd3-414b-48e1-9e5b-9460fda26729\" class=\"wp-block-list\">\n<li>Physics-informed neural networks<\/li>\n\n\n\n<li>Reduced order modeling<\/li>\n\n\n\n<li>Data-driven closure models for turbulence<\/li>\n\n\n\n<li>Aerodynamic shape optimization  <\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Here is the short list of research projects in the group High-order compressible flow solvers. High-order Boltzmann solvers. High-order incompressible flow solvers. Data-Driven Methods for flow problems<\/p>\n","protected":false},"author":7862,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/pages\/2","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=2"}],"version-history":[{"count":0,"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.metu.edu.tr\/akarakus\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}