Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Preconditioning the Quad Dominant Mesh Generator for Ship Structural Analysis

Version 1 : Received: 13 December 2021 / Approved: 16 December 2021 / Online: 16 December 2021 (15:44:20 CET)

A peer-reviewed article of this Preprint also exists.

Grubišić, L.; Lacmanović, D.; Tambača, J. Preconditioning the Quad Dominant Mesh Generator for Ship Structural Analysis. Algorithms 2022, 15, 2. Grubišić, L.; Lacmanović, D.; Tambača, J. Preconditioning the Quad Dominant Mesh Generator for Ship Structural Analysis. Algorithms 2022, 15, 2.

Journal reference: Algorithms 2021, 15, 2
DOI: 10.3390/a15010002

## Abstract

This paper presents an algorithm for the fully automatic mesh generation for the finite element analysis of ships and offshore structures. The quality requirements on the mesh generator are imposed by the acceptance criteria of the classification societies as well as the need to avoid shear locking when using low degree shell elements. The meshing algorithm will be generating quadrilateral dominated meshes (consisting of quads and triangles) and the mesh quality requirements mandate that quadrilaterals with internal angles close to $90\degree$ are to be preferred. The geometry is described by a dictionary containing points, rods, surfaces and openings. The first part of the proposed method consist of an algorithm to automatically clean the geometry. The corrected geometry is then meshed by the frontal Delaunay mesh generator as implemented in the gmsh package. We present a heuristic method to precondition the cross field of the frontal quadrilateral mesher. Also the influence of the order in which the plates are meshed will be explored as a preconditioning step.

## Keywords

mesh generation; quad dominated surface meshes; finite element analysis; shell elements

## Subject

MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics

Views 0