%0 Journal Article %1 harding2018convergence %A Harding, Brendan %D 2018 %J The ANZIAM Journal %K 76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics 76t20-suspensions fenics %T Convergence analysis of inertial lift force estimates using the finite element method %U https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/14094 %V 60 %X We conduct a convergence analysis for the estimation of inertial lift force on a spherical particle suspended in flow through a straight square duct using the finite element method. Specifically, we consider the convergence of an inertial lift force approximation with respect to a range of factors including the truncation of the domain, the resolution of the tetrahedral mesh and the boundary conditions imposed at the (truncated) ends of the domain. Additionally, we compare estimates obtained via the Lorentz reciprocal theorem with those obtained via a direct integration of fluid stress over the particle surface.

@article{harding2018convergence, abstract = {We conduct a convergence analysis for the estimation of inertial lift force on a spherical particle suspended in flow through a straight square duct using the finite element method. Specifically, we consider the convergence of an inertial lift force approximation with respect to a range of factors including the truncation of the domain, the resolution of the tetrahedral mesh and the boundary conditions imposed at the (truncated) ends of the domain. Additionally, we compare estimates obtained via the Lorentz reciprocal theorem with those obtained via a direct integration of fluid stress over the particle surface. }, added-at = {2020-05-08T23:58:49.000+0200}, author = {Harding, Brendan}, biburl = {https://www.bibsonomy.org/bibtex/2404dba3c115686b834600f6fd83b8bd6/gdmcbain}, interhash = {7479d45c733ed74e9aede0cd9d7ae0e9}, intrahash = {404dba3c115686b834600f6fd83b8bd6}, journal = {The ANZIAM Journal }, keywords = {76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics 76t20-suspensions fenics}, timestamp = {2020-05-08T23:58:49.000+0200}, title = { Convergence analysis of inertial lift force estimates using the finite element method }, url = {https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/14094}, volume = 60, year = 2018 }