Open Access

ARTICLE

A High-Accuracy Single Patch Representation of Multi-Patch Geometries with Applications to Isogeometric Analysis

by Jinlan Xu, Ningning Sun, Gang Xu

School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou, 310018, China

* Corresponding Author: Jinlan Xu. Email:

(This article belongs to the Special Issue: Recent Developments of Isogeometric Analysis and its Applications in Structural Optimization)

Computer Modeling in Engineering & Sciences 2020, 124(2), 627-642. https://doi.org/10.32604/cmes.2020.010341

Received 27 February 2020; Accepted 08 May 2020; Issue published 20 July 2020

Abstract

This paper presents a novel approximating method to construct highprecision single-patch representation of B-spline surface from a multi-patch representation for isogeometric applications. In isogeometric analysis, multi-patch structure is not easy to achieve high continuity between neighboring patches which will reduce the advantage of isogeometric analysis in a sense. The proposed method can achieve high continuity at surface stitching region with low geometric error, and this technique exploits constructing the approximate surface with several control points are from original surfaces, which guarantees the local feature of the surface can be well-preserved with high precision. With the proposed approximating method, isogeometric analysis results using the new single-patch can be obtained efficiently compared with the original multi-patch structure. Several examples are presented to illustrate the effectiveness, accuracy and efficiency of the proposed method.

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Keywords

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