{"title":"Symmetry-preserving discretizations in Lagrangian cell-centered hydrodynamics","authors":"Xihua Xu","doi":"10.1016/j.compfluid.2024.106462","DOIUrl":null,"url":null,"abstract":"<div><div>This paper discusses constructing discretizations in Lagrangian cell-centered hydrodynamics (CCH) that preserve cylindrical symmetry on unequal-angle-zoned grids in two-dimensional Cartesian geometry. We achieve this by modifying the nodal solver (Corot and Mercier, 2018) and updating the total and internal energy equations. The method is a unique solution to the challenging problem of ensuring symmetry in vectors. A criterion is established for determining whether or not this symmetry correction should be applied. We prove that both nodal and zonal quantities maintain a symmetry distribution. Numerical illustrations using unequal-angle initial zoning are presented to demonstrate the efficiency of the scheme.</div></div>","PeriodicalId":287,"journal":{"name":"Computers & Fluids","volume":"285 ","pages":"Article 106462"},"PeriodicalIF":2.5000,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers & Fluids","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0045793024002937","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper discusses constructing discretizations in Lagrangian cell-centered hydrodynamics (CCH) that preserve cylindrical symmetry on unequal-angle-zoned grids in two-dimensional Cartesian geometry. We achieve this by modifying the nodal solver (Corot and Mercier, 2018) and updating the total and internal energy equations. The method is a unique solution to the challenging problem of ensuring symmetry in vectors. A criterion is established for determining whether or not this symmetry correction should be applied. We prove that both nodal and zonal quantities maintain a symmetry distribution. Numerical illustrations using unequal-angle initial zoning are presented to demonstrate the efficiency of the scheme.
期刊介绍:
Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.