黏弹性流动问题的若干稳定化求解方案OA

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.