1 // Copyright (c) 2017-2021, Lawrence Livermore National Security, LLC. 2 // Produced at the Lawrence Livermore National Laboratory. LLNL-CODE-734707. 3 // All Rights reserved. See files LICENSE and NOTICE for details. 4 // 5 // This file is part of CEED, a collection of benchmarks, miniapps, software 6 // libraries and APIs for efficient high-order finite element and spectral 7 // element discretizations for exascale applications. For more information and 8 // source code availability see http://github.com/ceed. 9 // 10 // The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, 11 // a collaborative effort of two U.S. Department of Energy organizations (Office 12 // of Science and the National Nuclear Security Administration) responsible for 13 // the planning and preparation of a capable exascale ecosystem, including 14 // software, applications, hardware, advanced system engineering and early 15 // testbed platforms, in support of the nation's exascale computing imperative. 16 17 use libceed::prelude::*; 18 19 // ---------------------------------------------------------------------------- 20 // Transform mesh coordinates 21 // ---------------------------------------------------------------------------- 22 pub(crate) fn transform_mesh_coordinates(dim: usize, mesh_coords: &mut Vector) -> f64 { 23 // Transform coordinates 24 mesh_coords.view_mut().iter_mut().for_each(|coord| { 25 // map [0,1] to [0,1] varying the mesh density 26 *coord = 0.5 27 + 1.0 / (3.0_f64).sqrt() * ((2.0 / 3.0) * std::f64::consts::PI * (*coord - 0.5)).sin() 28 }); 29 30 // Exact surface area of transformed region 31 let exact_area = match dim { 32 1 => 2.0, 33 2 => 4.0, 34 _ => 6.0, 35 }; 36 exact_area 37 } 38 39 // ---------------------------------------------------------------------------- 40