{"id":12553,"date":"2014-07-28T00:16:08","date_gmt":"2014-07-27T21:16:08","guid":{"rendered":"http:\/\/hgpu.org\/?p=12553"},"modified":"2014-07-28T00:16:08","modified_gmt":"2014-07-27T21:16:08","slug":"improved-finite-difference-schemes-for-a-3-d-viscothermal-wave-equation-on-a-gpu","status":"publish","type":"post","link":"https:\/\/hgpu.org\/?p=12553","title":{"rendered":"Improved Finite Difference Schemes for a 3-D Viscothermal Wave Equation on a GPU"},"content":{"rendered":"<p>Viscothermal effects in air lead to a damping of high frequencies over time. Such effects cannot be neglected in large-scale room acoustics simulations for the full audible bandwidth. In this study, full-bandwidth room acoustics is modelled using a variant of the three-dimensional wave equation including viscothermal losses in air following from a simplification of the Navier-Stokes equations suitable for room acoustics applications. The model equation is numerically solved using time domain finite difference methods. A three-step parameterised finite difference scheme is proposed to model T60 decay times as a function of frequency more accurately than two-step schemes. Timing results from parallelised implementations on a graphics processing unit (GPU) device are presented.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Viscothermal effects in air lead to a damping of high frequencies over time. Such effects cannot be neglected in large-scale room acoustics simulations for the full audible bandwidth. In this study, full-bandwidth room acoustics is modelled using a variant of the three-dimensional wave equation including viscothermal losses in air following from a simplification of the [&hellip;]<\/p>\n","protected":false},"author":351,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[89,3,12],"tags":[849,14,327,122,120,20,1783,1390,328],"class_list":["post-12553","post","type-post","status-publish","format-standard","hentry","category-nvidia-cuda","category-paper","category-physics","tag-acoustics","tag-cuda","tag-finite-difference","tag-navier-stokes-equations","tag-nses","tag-nvidia","tag-physics","tag-tesla-k20","tag-wave-equation"],"views":3331,"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts\/12553","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/users\/351"}],"replies":[{"embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12553"}],"version-history":[{"count":0,"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts\/12553\/revisions"}],"wp:attachment":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12553"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12553"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12553"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}