About: Radial Basis Functions Mesh Morphing: A Comparison Between the Bi-harmonic Spline and the Wendland C2 Radial Function

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About: Radial Basis Functions Mesh Morphing: A Comparison Between the Bi-harmonic Spline and the Wendland C2 Radial Function Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : wasabi.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Radial Basis Functions Mesh Morphing: A Comparison Between the Bi-harmonic Spline and the Wendland C2 Radial Function
Creator	Cella, Ubaldo Chiappa, Andrea Costa, Emiliano Evangelos Biancolini, Marco Groth, Corrado Porziani, Stefano
Source	PMC
abstract	Radial basis functions (RBFs) based mesh morphing allows to adapt the shape of a computational grid onto a new one by updating the position of all its nodes. Usually nodes on surfaces are used as sources to define the interpolation field that is propagated into the volume mesh by the RBF. The method comes with two distinctive advantages that makes it very flexible: it is mesh independent and it allows a node wise precision. There are however two major drawbacks: large data set management and excessive distortion of the morphed mesh that may occur. Two radial kernels are widely adopted to overtake such issues: the bi-harmonic spline (BHS) and the Wendland C2 (WC2). The BHS minimizes the mesh distortion but it is computational intense as a dense linear system has to be solved whilist the WC2 leads to a sparse system easier to solve but which can lack in smoothness. In this paper we compare these two radial kernels with a specific focus on mesh distortion. A detailed insight about RBF fields resulting from BHS and WC2 is first provided by inspecting the intensity and the distribution of the strain for a very simple shape: a square plate with a central circular hole. An aeronautical example, the ice formation onto the leading edge of a wing, is then exposed adopting an industrial software implementation based on the state of the art of RBF solvers.
has issue date	2020-05-25(xsd:dateTime)
bibo:doi	10.1007/978-3-030-50433-5_23
has license	no-cc
sha1sum (hex)	cca15922f16569830614bceded0c82a015290d9d
schema:url	https://doi.org/10.1007/978-3-030-50433-5_23
resource representing a document's title	Radial Basis Functions Mesh Morphing: A Comparison Between the Bi-harmonic Spline and the Wendland C2 Radial Function
has PubMed Central identifier	PMC7304786
schema:publication	Computational Science - ICCS 2020
resource representing a document's body	covid:cca15922f16569830614bceded0c82a015290d9d#body_text
is schema:about of	named entity 'fields' named entity 'solve' named entity 'morphed' named entity 'nodes' named entity 'smoothness' named entity 'DISTORTION' named entity 'FOCUS' named entity 'STRAIN' named entity 'ICE' named entity 'STATE' named entity 'SIMPLE' named entity 'INTERPOLATION' named entity 'INDUSTRIAL' covid:arg/cca15922f16569830614bceded0c82a015290d9d named entity 'BHS' named entity 'surfaces' named entity 'nodes' named entity 'wise' named entity 'mesh' named entity 'linear system' named entity 'RBF' named entity 'paper' named entity 'kernels' named entity 'data set' named entity 'adopting' named entity 'system' named entity 'morphing' named entity 'management' named entity 'independent' named entity 'software implementation' named entity 'data set' named entity 'propagated' named entity 'inspecting' named entity 'High fidelity' named entity 'compactly supported' named entity 'interpolation' named entity 'three-dimensional' named entity 'leading edge' named entity 'CFD' named entity 'surface mesh' named entity 'vector field' named entity 'airfoil' named entity 'interpolation matrix' named entity 'CAE' named entity 'CFD' named entity 'generic point' named entity 'meshless' named entity 'CFD' named entity 'polyhedrons' named entity 'structural modes' named entity 'vector field' named entity 'CFD' named entity 'weighted summation' named entity 'Euclidean distance' named entity 'boundary layer' named entity 'geometry' named entity 'Morphing' named entity 'CFD' named entity 'nodal positions' named entity 'spline' named entity 'numerical solution' named entity 'orthogonal' named entity 'FEA' named entity 'interpolation' named entity 'meshless' named entity 'mid-side' named entity 'CFD' named entity 'vector' named entity 'Radial basis functions' named entity 'meshless' named entity 'interpolating' named entity 'digital twins' named entity 'scalar field' named entity 'interpolation' named entity 'CAE' named entity 'tetrahedrons' named entity 'aerodynamic' named entity 'surface plot'

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