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1. WO2005024674 - NUMERICAL MODELING PROCESS AND SYSTEM OF SINGULAR VECTOR PHYSICAL QUANTITIES AND CORRESPONDING SOFTWARE PRODUCT

Publication Number WO/2005/024674
Publication Date 17.03.2005
International Application No. PCT/IB2004/002856
International Filing Date 02.09.2004
IPC
G06F 17/50 2006.1
GPHYSICS
06COMPUTING; CALCULATING OR COUNTING
FELECTRIC DIGITAL DATA PROCESSING
17Digital computing or data processing equipment or methods, specially adapted for specific functions
50Computer-aided design
CPC
G06F 17/00
GPHYSICS
06COMPUTING; CALCULATING; COUNTING
FELECTRIC DIGITAL DATA PROCESSING
17Digital computing or data processing equipment or methods, specially adapted for specific functions
G06F 2111/10
GPHYSICS
06COMPUTING; CALCULATING; COUNTING
FELECTRIC DIGITAL DATA PROCESSING
2111Details relating to CAD techniques
10Numerical modelling
G06F 30/23
GPHYSICS
06COMPUTING; CALCULATING; COUNTING
FELECTRIC DIGITAL DATA PROCESSING
30Computer-aided design [CAD]
20Design optimisation, verification or simulation
23using finite element methods [FEM] or finite difference methods [FDM]
G06T 17/20
GPHYSICS
06COMPUTING; CALCULATING; COUNTING
TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
17Three dimensional [3D] modelling, e.g. data description of 3D objects
20Finite element generation, e.g. wire-frame surface description, ; tesselation
Applicants
  • POLITECNICO DI TORINO [IT]/[IT] (AllExceptUS)
  • GRAGLIA, Roberto, D. [IT]/[IT] (UsOnly)
  • LOMBARDI, Guido [IT]/[IT] (UsOnly)
Inventors
  • GRAGLIA, Roberto, D.
  • LOMBARDI, Guido
Agents
  • BOSOTTI, Luciano
Priority Data
TO2003A00067505.09.2003IT
Publication Language English (en)
Filing Language English (EN)
Designated States
Title
(EN) NUMERICAL MODELING PROCESS AND SYSTEM OF SINGULAR VECTOR PHYSICAL QUANTITIES AND CORRESPONDING SOFTWARE PRODUCT
(FR) PROCEDE ET SYSTEME DE MODELISATION NUMERIQUE DE GRANDEURS PHYSIQUES VECTORIELLES SINGULIERES ET LOGICIEL CORRESPONDANT
Abstract
(EN) Numerical process to model singular vector physical quantities associated to at least a body (E), with possible local singular behavior of the physical quantities that may assume unlimited values in the singularity region. According to this invention this process is characterized by the following operations: to scan (10) the geometry of the singularity region and to plot it with a reference frame; to subdivide the singularity region into two dimensional domains, usually curvilinear; and; to describe with reference to these domains the properties of at least a physical quantity directly in the parent domain, deriving the singular curl conforming basis functions and the singular divergence conforming basis functions for meshed domains with (T, TE, TV) triangles and (Q) quadrilaterals, usually curvilinear. Besides this process allows for the definition of particular set of singular basis functions for FEM and MoM applications (figure 1).
(FR) Procédé numérique permettant de modéliser des grandeurs physiques vectorielles singulières associées à au moins un corps (E), en tenant compte d'un éventuel comportement singulier local des grandeurs physiques susceptibles de présenter des valeurs illimitées dans la région de singularité. Selon l'invention, ce procédé se caractérise par les opérations consistant à: balayer (10) la géométrie de la région de singularité et la cartographier sur un système de coordonnées; subdiviser la région de singularité en domaines bidimensionnels généralement curvilignes; et décrire par rapport à ces domaines les propriétés d'au moins une grandeur physique directement dans le domaine parent, en dérivant les fonctions de base singulières conformes en rotation et les fonctions de base singulières conformes en divergence pour les domaines maillés avec des triangles (T, TE, TV) et des quadrilatères (Q), généralement curvilignes. En outre, ce procédé permet de définir un ensemble particulier de fonctions de base singulières pour des applications d'analyse par éléments finis (FEM) et de méthode des moments (MoM) (figure 1).
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US2007208547This application is not viewable in PATENTSCOPE because the national phase entry has not been published yet or the national entry is issued from a country that does not share data with WIPO or there is a formatting issue or an unavailability of the application.
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