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( 23 dim: usize, 24 mesh_coords: &mut Vector, 25 ) -> libceed::Result<Scalar> { 26 // Transform coordinates 27 for coord in mesh_coords.view_mut()?.iter_mut() { 28 // map [0,1] to [0,1] varying the mesh density 29 *coord = 0.5 30 + 1.0 / (3.0 as Scalar).sqrt() 31 * ((2.0 / 3.0) * std::f64::consts::PI as Scalar * (*coord - 0.5)).sin() 32 } 33 34 // Exact surface area of transformed region 35 let exact_area = match dim { 36 1 => 2.0, 37 2 => 4.0, 38 _ => 6.0, 39 }; 40 Ok(exact_area) 41 } 42 43 // ---------------------------------------------------------------------------- 44