Linear ODE Based Geometric Modelling for Compressor Blades

DOI

10.2991/eame-17.2017.53How to use a DOI?

Keywords

ODE systems; navier-stokes equations; homotopy

Abstract

Geometric modeling based on physical environment of the objects has been emerging as a powerful modeling technique and started to gain popularity for surface modeling and design. These methods usually allow the geometric objects to be defined and governed by a set of differential equations. In this paper, we focus on the geometric modeling for compressor blades, upon which the flow is governed by Navier-Stokes (NS) equations. As we cannot use NS equations directly due to its essential complexity, linear ODE systems are used to describe the elementary blade types of the blade surface. Then, we use the homotopy based method to reconstruct the full surface. A specific blade surface represented as data scatter is used to verify our method. According to the properties of the original data, different parametrization methods are discussed. Numerical results show that our method offers a nice representation for the blade surface.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Guanying Huo
AU  - Xin Jiang
AU  - Danlei Ye
AU  - Cheng Su
AU  - Zehong Lu
AU  - Bolun Wang
AU  - Zhiming Zheng
PY  - 2017/04
DA  - 2017/04
TI  - Linear ODE Based Geometric Modelling for Compressor Blades
BT  - Proceedings of the 2017 2nd International Conference on Electrical, Automation and Mechanical Engineering (EAME 2017)
PB  - Atlantis Press
SP  - 219
EP  - 223
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-17.2017.53
DO  - 10.2991/eame-17.2017.53
ID  - Huo2017/04
ER  -