CFD-based optimization of hovering rotors using radial basis functions for shape parameterization and mesh deformation

2011 ◽  
Vol 14 (1) ◽  
pp. 97-118 ◽  
Author(s):  
Christian B. Allen ◽  
Thomas C. S. Rendall
Keyword(s):  
Radial Basis Functions ◽  
Basis Functions ◽  
Mesh Deformation ◽  
Radial Basis ◽  
Shape Parameterization

scholarly journals Efficient mesh deformation using radial basis functions with a grouping-circular-based greedy algorithm

2021 ◽  
Vol 433 ◽  
pp. 110200
Author(s):  
Hong Fang ◽  
He Zhang ◽  
Fanli Shan ◽  
Ming Tie ◽  
Xing Zhang ◽  
...  
Keyword(s):  
Greedy Algorithm ◽  
Radial Basis Functions ◽  
Basis Functions ◽  
Mesh Deformation ◽  
Radial Basis

Mesh Morphing and Smoothing by Means of Radial Basis Functions (RBF)

2012 ◽  
pp. 347-380 ◽  
Author(s):  
Marco Evangelos Biancolini
Keyword(s):  
Radial Basis Functions ◽  
Basis Functions ◽  
Mathematical Framework ◽  
Mesh Morphing ◽  
Physical Problems ◽  
Radial Basis ◽  
Interaction Modelling ◽  
Shape Parameterization ◽  
Computational Fluid Dynamics Cfd ◽  
And Performance

Radial Basis Functions (RBF) mesh morphing, its theoretical basis, its numerical implementation, and its use for the solution of industrial problems, mainly in Computer Aided Engineering (CAE), are introduced. RBF theory is presented showing the mathematical framework for a basic RBF fit, its MathCAD implementation, and its usage. The equations required for a 2D case comparing RBF smoothing and pseudosolid smoothing based on Finite Elements Method (FEM) structural solution are given; RBF exhibits excellent performance and produces high quality meshes even for very large deformations. The industrial application of RBF morphing to Computational Fluid Dynamics (CFD) is covered presenting the RBF Morph software, its implementation, and a description of its working principles and performance. Practical examples include: physical problems that use CFD, shape parameterisation strategy, and modelling guidelines for setting-up a well posed RBF problem. Future directions explored are: transient shape evolution, fluid structure interaction modelling, and shape parameterization in multi-physics, multi-objective design optimization.

Sign in / Sign up

Export Citation Format

Share Document