{"24e2efdd8274989c057475778965fb3bipvs-sgs":{"DOI":"","ISBN":"978-1-4673-8815-3","ISSN":"","URL":"http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=INPROC-2016-43&engl=0","abstract":"We present a numerical method for solving the scalar advection-diffusion\n      equation using adaptive mesh re- finement. Our solver has three unique\n      characteristics: (1) it supports arbitrary-order accuracy in space; (2) it\n      allows different discretizations for the velocity and scalar advected quantity;\n      and (3) it combines the method of characteristics with an integral equation\n      formulation. In particular, our solver is based on a second-order accurate,\n      unconditionally stable, semi-Lagrangian scheme combined with a\n      spatially-adaptive Chebyshev octree for discretization. We study the\n      convergence, single-node perfor- mance, strong scaling, and weak scaling of our\n      scheme for several challenging flows that cannot be resolved efficiently\n      without using high-order accurate discretizations. For example, we consider\n      problems for which switching from 4th order to 14th order approximation results\n      in two orders of magnitude speedups for a fixed accuracy. For our largest run,\n      we solve a problem with one billion unknowns on a tree with maximum depth equal\n      to 10 and 14th-order elements on 16,384 cores on the ”STAMPEDE” system at\n      the Texas Advanced Computing Center.","annote":"","author":[{"family":"Bakhtiari","given":"Arash"},{"family":"Malhotra","given":"Dhairya"},{"family":"Raoofy","given":"Amir"},{"family":"Mehl","given":"Miriam"},{"family":"Bungartz","given":"Hans-Joachim"},{"family":"Biros","given":"George"}],"citation-label":"bakhtiari2016parallel","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2016","November"]],"literal":"2016"},"event-place":"Piscataway, NJ, USA","id":"24e2efdd8274989c057475778965fb3bipvs-sgs","interhash":"ecb2ea5adabcad86c40cc4c53e4d7cfc","intrahash":"24e2efdd8274989c057475778965fb3b","issue":"","issued":{"date-parts":[["2016","November"]],"literal":"2016"},"keyword":"semi-Lagrangian fast_multipole parallel_computing adaptive_mesh_refinement from:ajaust","misc":{"ee":"http://dl.acm.org/citation.cfm?id=3014904.3014963","isbn":"978-1-4673-8815-3","language":"Englisch","cr-category":"J.0 Computer Applications General","department":"Universit{\\\"a}t Stuttgart, Institut f{\\\"u}r Parallele und Verteilte Systeme, Simulation gro{\\ss}er Systeme"},"note":"","number":"","number-of-pages":"11","page":"1--12","page-first":"1","publisher":"IEEE Press","publisher-place":"Piscataway, NJ, USA","status":"","title":"A Parallel Arbitrary-order Accurate AMR Algorithm for the Scalar Advection-diffusion Equation","type":"paper-conference","username":"ipvs-sgs","version":"","volume":""}}