»ã±¨±êÌâ (Title)£º A pressure-robust staggered DG method for the incompressible Navier-Stokes equations on polygonal meshes £¨¶à±ßÐÎÍø¸ñÉϲ»³ÉѹËõµÄ Navier-Stokes ·½³ÌµÄÎÈÖز»Â½Ðø Galerkin ²½Ö裩

»ã±¨ÈË (Speaker)£ºLina Zhao (City University of Hong Kong)

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In this talk, I will introduce a novel pressure-robust staggered discontinuous Galerkin method for the incompressible Navier-Stokes equations on general polygonal meshes. The devising of the method hinges on a carefully designed finite element pair and nonlinear convective term, which ensures pressure-robustness. The optimal convergence estimates for all the variables in L2 norm are proved under a suitable smallness condition. In particular, the unique solvability and convergence error estimates are proved to be independent of the irrotational part of the source term. Numerical experiments will be presented to validate the theoretical findings and demonstrate the superior performances of the proposed method, especially for problems with high Reynolds number or zero velocity.