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dc.contributor.authorRuiz-Gironés, Eloi
dc.contributor.authorRoca Navarro, Francisco Javier
dc.contributor.authorSarrate Ramos, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationRuiz, E., Roca, X., Sarrate, J. High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation. "Computer-Aided Design", Març 2016, vol. 72, p. 52-64.
dc.description.abstractWe 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 of discrete approximations of curved domains that are valid for simulation analysis with unstructured high-order methods. We devise the method as follows. First, the boundary of a straight-sided high-order mesh is curved to match the curves and surfaces of a CAD model. Second, the method minimizes the volume mesh distortion with respect to the coordinates of the inner nodes and the parametric coordinates of the curve and surface nodes. The proposed minimization features untangling capabilities and therefore, it repairs the invalid elements that may arise from the initial curving step. Compared with other mesh curving methods, the only goal of the proposed residual system is to minimize the volume mesh distortion. Furthermore, it is less constrained since the boundary nodes are free to slide on the CAD curves and surfaces. Hence, the proposed method is well suited to generate curved high-order meshes of optimal quality from CAD models that contain thin parts or high-curvature entities. To illustrate these capabilities, we generate several curved high-order meshes from CAD models with the implementation detailed in this work. Specifically, we detail a node-by-node non-linear iterative solver that minimizes the proposed objective function in a block Gauss-Seidel manner.
dc.format.extent13 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
dc.subject.lcshNumber theory
dc.subject.otherCurved high-order meshing
dc.subject.otherMesh smoothing
dc.subject.otherMesh untangling
dc.subject.otherMesh quality
dc.subject.otherCAD interpolation
dc.subject.otherHierarchical minimization
dc.titleHigh-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation
dc.subject.lemacGeometria computacional
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::11 Number theory::11H Geometry of numbers
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/658853/EU/High-Performance Curved Meshing and Unstructured High-Order Galerkin Solvers for High-Fidelity Flow Simulation/HiPerMeGaFlowS
local.citation.authorRuiz, E.; Roca, X.; Sarrate, J.
local.citation.publicationNameComputer-Aided Design

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