RBF-based mesh morphing improvement using Schur complement applied to rib shape optimization. Issue 9 (22nd August 2019)

• Record Type: Journal Article
• Authors: Mastrippolito, Franck; Aubert, Stephane; Ducros, Frédéric; Buisson, Martin
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 30:Issue 9(2020)
• Page Start: 4241
• Page End: 4257
• Publication Date: 2019-08-22
• Subjects: Optimization -- CFD -- Radial basis function -- Mesh deformation -- Schur complement -- Metamodels; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-06-2018-0309
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : 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.