吉林大学学报（理学版）2026，Vol.64Issue(2)：275-283,9.DOI:10.13413/j.cnki.jdxblxb.2025180
黏弹性流动问题的若干稳定化求解方案
Several Stabilized Solution Schemes for Viscoelastic Flow Problems
摘要
Abstract
Based on the log-conformation representation(LCR),we gave two fully coupled numerical methods for viscoelastic Oldroyd-B flow problems,and conducted a comparative study on two methods.The first method was to introduce the discrete elastic-viscous split-stress gradient(DEVSS-G)method into the momentum equation,which enhanced the ellipticity of the momentum equation and obtained the LCR-DEVSS-G stabilization scheme.The second method was to combine the streamline upwind Petrov-Galerkin(SUPG)method,we obtained the LCR-SUPG stabilization scheme.Finally,the verification results of numerical examples of Poiseuille flow and flow around a circular cylinder show that using LCR-DEVSS-G stabilization scheme to handle viscoelastic Oldroyd-B flow problems has better convergence and higher computational efficiency.关键词
黏弹性流体/Oldroyd-B模型/对数构象表示/离散弹性-黏性分裂应力梯度法/流线迎风Petrov-GalerkinKey words
viscoelastic fluid/Oldroyd-B model/log-conformation-representation/discrete elastic-viscous split-stress gradient method/streamline upwind Petrov-Galerkin分类
数理科学引用本文复制引用
胡小林,高普阳..黏弹性流动问题的若干稳定化求解方案[J].吉林大学学报（理学版）,2026,64(2):275-283,9.基金项目
陕西数理基础科学研究项目(批准号:23JSQ040)、陕西省自然科学基础研究计划面上项目(批准号:2025JC-YBMS-029)、陕西省自然科学基础研究计划青年项目(批准号:2025JC-YBQN-069)和国家自然科学基金数学天元基金天元数学西北中心项目. （批准号:23JSQ040）
