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To accurately resolve the flow in this rather complex geometry with stenosis is challenging and it is also important to obtain the results in a short amount of computing time so that the simulation can be used in pre\u2010 and\/or post\u2010surgery planning. For this purpose, we introduce a highly scalable, parallel non\u2010nested two\u2010level domain decomposition method for the three\u2010dimensional unsteady incompressible Navier\u2010Stokes equations with an impedance outlet boundary condition. The problem is discretized with a stabilized finite element method on unstructured meshes in space and a fully implicit method in time, and the large nonlinear systems are solved by a preconditioned parallel Newton\u2010Krylov method with a two\u2010level Schwarz method. The key component of the method is a non\u2010nested coarse problem solved using a subset of processor cores and its solution is interpolated to the fine space using radial basis functions. To validate and verify the proposed algorithm and its highly parallel implementation, we consider a case with available clinical data and show that the computed result matches with the measured data. Further numerical experiments indicate that the proposed method works well for realistic geometry and parameters of a full size cerebral artery of an adult stroke patient on a supercomputers with thousands of processor cores.<\/jats:p>","DOI":"10.1002\/cnm.3392","type":"journal-article","created":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T06:09:39Z","timestamp":1597212579000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["A parallel non\u2010nested two\u2010level domain decomposition method for simulating blood flows in cerebral artery of stroke patient"],"prefix":"10.1002","volume":"36","author":[{"given":"Rongliang","family":"Chen","sequence":"first","affiliation":[{"name":"Shenzhen Institutes of Advanced Technology Chinese Academy of Sciences  Shenzhen China"},{"name":"Shenzhen Key Laboratory for Exascale Engineering and Scientific Computing  Shenzhen 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