Browsing by Author "Roca, Xevi"
Now showing items 1-18 of 18
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A distortion measure to validate and generate curved high-order meshes on CAD surfaces with independence of parameterization
(Wiley Online Library, 2015-12-15)
Article
Open AccessA framework to validate and generate curved nodal high-order meshes on Computer-Aided Design (CAD) surfaces is presented. The proposed framework is of major interest to generate meshes suitable for thin-shell and 3D finite ... -
Adaptive points to estimate the Lebesgue constant on the simplex
(Barcelona Supercomputing Center, 2022-05)
Conference report
Open AccessWe present a novel adaptive sampling method to estimate the Lebesgue constant of nodal sets in n-dimensional simplices. The main application of this estimation is to assess the interpolation capabilities of a nodal ... -
An augmented Lagrangian formulation to impose boundary conditions for distortion based mesh moving and curving
(Elsevier, 2017)
Article
Open AccessWe formulate a mesh morphing technique as mesh distortion minimization problem constrained to weakly satisfy the imposed displacement of the boundary nodes. The method is devised to penalize the appearance of inverted ... -
Automatic Penalty and Degree Continuation for Parallel Pre-Conditioned Mesh Curving on Virtual Geometry
(Elsevier, 2022)
Article
Open AccessWe present a distributed parallel mesh curving method for virtual geometry. The main application is to generate large-scale curved meshes on complex geometry suitable for analysis with unstructured high-order methods. ... -
Automatically imposing incremental boundary displacements for valid mesh morphing and curving
(2019-07)
Article
Open AccessWe present a new incremental mesh morphing method obtained by proposing and discretizing a solution procedure for the continuous morphing problem. Our method seeks a diffeomorphism that transforms an initial domain to a ... -
Combining high-order metric interpolation and geometry implicitization for curved r -adaption
(Elsevier, 2023)
Article
Restricted access - publisher's policyWe detail how to use Newton’s method for distortion-based curved -adaption to a discrete high-order metric field while matching a target geometry. Specifically, we combine two terms: a distortion measuring the deviation ... -
Conformal marked bisection for local refinement of n-dimensional unstructured simplicial meshes
(Elsevier, 2022)
Article
Restricted access - publisher's policyWe present an n-dimensional marked bisection method for unstructured conformal meshes. We devise the method for local refinement in adaptive n-dimensional applications. To this end, we propose a mesh marking pre-process ... -
Defining an L2-disparity Measure to Check and Improve the Geometric Accuracy of Non-interpolating Curved High-order Meshes
(Elsevier, 2015)
Article
Open AccessWe define an Full-size image L2-disparity measure between curved high-order meshes and parameterized manifolds in terms of an Full-size image L2 norm. The main application of the proposed definition is to measure and improve ... -
Estimating the Number of Similarity Classes for Marked Bisection in General Dimensions
(Springer, 2024)
Conference lecture
Restricted access - publisher's policyTo measure the stability of a marked bisection method, we estimate in general dimensions an upper bound of the number of generated similarity classes. Moreover, to understand the cyclic similarity structure, we estimate ... -
Generation of a simulation scenario from medical data: Carto and MRI
(Barcelona Supercomputing Center, 2015-05-05)
Conference report
Open AccessMultiphysic cardiac models give accurate simulations of normal and pathologic behavior of the heart. It can help to develop new treatments and medical devices. The complexity relies on both mathematical and geometrical ... -
Generation of Curved High-order Meshes with Optimal Quality and Geometric Accuracy
(Elsevier, 2016)
Article
Open AccessWe present a novel methodology to generate curved high-order meshes featuring optimal mesh quality and geometric accuracy. The proposed technique combines a distortion measure and a geometric Full-size image (<1 K)-disparity ... -
High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
(Elsevier, 2016-03)
Article
Open AccessWe propose a 3D mesh curving method that converts a straight-sided mesh to an optimal-quality curved high-order mesh that interpolates a CAD boundary representation. The main application of this method is the generation ... -
High-order mesh untangling and smoothing using the hierarchical smoother
(CIMNE, 2015)
Conference report
Open AccessIn the last years, high-order methods are emerging to simulate physical phenomena in appliedsciences and engineering. However, these kind of methods rely on a high-order discretization. One ofthe most used methods to ... -
Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method
(2016)
Conference lecture
Open AccessWe present a high-order implicit large-eddy simulation (ILES) approach for simulating transitional turbulent flows. The approach consists of an Interior Embedded Discontinuous Galerkin (IEDG) method for the discretization ... -
Representing Urban Geometries for Unstructured Mesh Generation
(Elsevier, 2016)
Article
Open AccessWe present a robust and automatic method to generate an idealized surface geometry of a city landscape ready to be meshed for computer simulations. The city geometry is idealized for non viscous flow simulations and targets ... -
Subdividing linear and curved meshes preserving sharp features of a model
(Barcelona Supercomputing Center, 2020-05)
Conference report
Open AccessTo provide straight-edged and curved piece-wise polynomial meshes that target a unique smooth geometry while preserving the sharp features and smooth regions of the model, we propose a new fast curving method based on ... -
Subdividing triangular and quadrilateral meshes in parallel to approximate curved geometries
(Elsevier, 2017)
Article
Open AccessA parallel distributed approach to refine a mesh while preserving the curvature of a target geometry is presented. Our approach starts by generating a coarse linear mesh of the computational domain. Second, the former ... -
Visualization of pentatopic meshes
(Barcelona Supercomputing Center, 2020-05)
Conference report
Open AccessWe propose a simple tool to visualize 4D unstructured pentatopic meshes. The method slices unstructured 4D pentatopic meshes (fields) with an arbitrary 3D hyperplane and obtains a conformal 3D unstructured tetrahedral ...
