摘要
钛合金以其卓越的耐腐蚀性、轻质和高强度特性,成为航空航天工业中的核心材料。随着现代装备制造技术的飞速发展,钛合金铸件的制造技术也达到了新的高度,不仅复杂程度显著提升,而且铸件的规模也趋向于大型化。钛合金铸件大型化、薄壁化、复杂化的趋势,无疑对铸造过程的数值模拟带来了挑战。网格是数值模拟过程的计算域,因此首要问题就是如何高效生成高质量的网格。为应对这一问题,本文提出了一种算法,旨在高效生成适用于有限差分方法的六面体均匀网格。该算法结合了具有空间划分优势的八叉树数据结构和经典的射线法。首先利用八叉树数据结构对钛合金铸件的三维模型进行精细空间划分,通过与有限差分网格的映射关系,快速生成精确的表面网格。然后采用射线法,以表面网格为基础,依据射线与铸件内部的交点信息,精准构建内部网格。经过测试验证,该算法能够高效、准确地生成高质量的有限差分六面体均匀网格,为后续的数值计算提供了精确、可靠的计算域。
Titanium alloys,with their excellent corrosion resistance,light weight and high strength,have become a core material in the aerospace industry.With the rapid development of modern equipment manufacturing technology,the manufacturing technology of titanium alloy castings has also reached a new height.Not only is the complexity significantly improved,but the scale of the castings also tends to increase.The trend of large-scale,thin-walled and complex titanium alloy castings undoubtedly brings challenges to the numerical simulation of the casting process.The mesh is the computational domain of the numerical simulation process,so the primary issue is how to efficiently generate high-quality meshes.To address this problem,this paper proposes an algorithm aimed at efficiently generating hexahedral uniform meshes suitable for finite difference methods.The algorithm combines the octree data structure,which has the advantage of spatial division,and the classical ray piercing algorithm.The octree data structure is first utilized to perform fine spatial delineation of the 3D model of titanium alloy casting,and an accurate surface mesh is quickly generated through a mapping relationship with a finite difference mesh.Then,the ray piercing algorithm is used to accurately construct the internal mesh based on the surface mesh and the intersection information between the rays and the interior of the casting.After testing and verification,the algorithm can efficiently and accurately generate high-quality finite difference hexahedral uniform meshes,which provides an accurate and reliable computational domain for subsequent numerical calculations.
作者
石宇航
殷亚军
沈旭
计效园
周建新
SHI Yuhang;YIN Yajun;SHEN Xu;JI Xiaoyuan;ZHOU Jianxin(State Key Laboratory of Materials Processing and Die&Mould Technology,Huazhong University of Science and Technology,Wuhan 430074,China;School of Software Engineering,Huazhong University of Science and Technology,Wuhan 430074,China)
出处
《铸造技术》
CAS
2024年第10期917-924,共8页
Foundry Technology
基金
国家重点研发计划(2022YFB3706800)。
关键词
复杂铸件
钛合金
网格化
有限差分
八叉树
complex castings
titanium alloy
mesh generation
finite difference
octree
