TY  - JOUR
AB  - Purpose This paper aims to improve the radial basis fuction mesh morphing method. During a shape optimization based on computational fluid dynamic (CFD) solvers, the mesh has to be changed. Two possible strategies are re-meshing or morphing. The morphing one is advantageous because it preserves the mesh connectivity, but it must be constrained.Design/methodology/approach RBF mesh deformation is one of the most robust and accurate morphing method. Using a greedy algorithm, the computational cost of the method is reduced. To evaluate the morphing performances, a rib shape optimization is performed using the NSGA-II algorithm coupled to kriging metamodels based on CFD. The morphing method is then compared to a re-meshing strategy.Findings The authors propose a method, based on Schur complement, to speed-up the greedy process. By using the information of the previous iteration, smaller linear systems are solved and time is saved. The optimization results highlight the interest of using a morphing-based metamodel regarding the resolution time and the accuracy of the interpolated solutions.Originality/value A new method based on Schur complement is addressed to speed-up the greedy algorithm and successfully applied to a shape optimization.
VL  - 30
IS  - 9
SN  - 0961-5539
DO  - 10.1108/HFF-06-2018-0309
UR  - https://doi.org/10.1108/HFF-06-2018-0309
AU  - Mastrippolito Franck
AU  - Aubert Stephane
AU  - Ducros Frédéric
AU  - Buisson Martin
PY  - 2019
Y1  - 2019/01/01
TI  - RBF-based mesh morphing improvement using Schur complement applied to rib shape optimization
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - Emerald Publishing Limited
SP  - 4241
EP  - 4257
Y2  - 2024/04/24
ER  -