... with a discontinuous Galerkin finite element scheme, since the former is very robust and the latter can be adjoined automatically. Once discretised, the topology optimisation problem is solved with an integer linear programming algorithm. The authors demonstrate the capability of the approach in the design of a U-bend...

... exceeding physical viscosity, flattening vortical structures and disrupting their delicate dynamics. This paper aims to introduce a vorticity confinement correction for discontinuous Galerkin discretisation methods, designed to enhance the fidelity of direct numerical simulations of unsteady, vortex...

... capturing (SC) diffusion which removes the necessity of post-processing. Design/methodology/approach The authors use a space-time weak formulation of SWEs which exploits continuous Galerkin (cG) in space and discontinuous Galerkin (dG) in time allowing time stepping, also known as cGdG...

...Ali Karakus; Tim Warburton; Mehmet Haluk Aksel; Cuneyt Sert Purpose This study aims to focus on the development of a high-order discontinuous Galerkin method for the solution of unsteady, incompressible, multiphase flows with level set interface formulation. Design/methodology/approach Nodal...

... on two independent numerical procedures. The Navier-Stokes equation is solved using the non-conforming Crouzeix-Raviart (CR) finite element method with an upstream approach for the non-linear convective term. The advection-diffusion heat equation is solved using a combination of Discontinuous Galerkin...