izvor podataka: poirot

ADAPTIVNA PARAMETRIZACIJA PROMJENJIVIH 3D GEOMETRIJA KOD OPTIMIZACIJE OBLIKA I BEZMREŽNOG NUMERIČKOG MODELIRANJA

ADAPTIVE PARAMETERIZATION OF VARIABLE 3D GEOMETRIES IN SHAPE OPTIMIZATION AND MESHLESS NUMERICAL MODELING


The project focuses on developing numerically efficient and dynamically adaptive parametric representations of shape which autonomously provide increased modeling capacity for the 3D shape itself and for the shape functions in numerical methods. The initial shape iteration will start from 3D point clouds, possibly resulting from shape digitization (existing high-resolution optical scanning system). Mathematical parameterization of the point clouds will be based on parametric surfaces. Integral as well as chained piecewise surfaces will be explored and compared. Dynamic aspects of the parameterizations will be studied. The shape and possibly topology of the object will be changing in simulation/ optimization quasi-time iterations. During the process, edges and peaks may disappear and new ones may arise, whereby the parameterization must be autonomously adaptable to such changes. Strategies for controlled reductions of the parameterization data-sets based on permissible threshold values for peak error and cumulative error norms will also be studied. These strategies will include adaptive re-allocation of the control points using feature recognition procedures (edges, peaks) based on eigenvalue ratios and slope and curvature estimators. Adaptive partitioning of the overall object surface based on different criteria will be evaluated. The optimization process involves extensive field calculations i.e. solving field problems governed by partial differential equations. The above shape modeling aspects also apply with meshless methods where a function across the domain determines the numerical solution of a given field problem. The option applied here will be meshless methods which are based on a nodes “cloud” and are dramatically less sensitive to the change in a material configuration.


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Znanstveno-istraživački projekti

Optimal3D

IP-2014-09-6130

01.11.2015

11.01.2017

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HRK 480.000,00