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The classical boundary element method (BEM) has difficulties capturing the solution accurately in the presence of boundary discontinuities. It exhibits higher error values in the proximity of corners than on the rest of the boundary. In an attempt to remedy this problem a two‐dimensional constant uniform flow across a square domain with an outflow condition on one side is considered and analyzed in...
Solving multiphysical problems is a challenging task in computational engineering both in regard to accuracy and efficiency. Finite element methods (FEM) – while very popular and well established for standard problems – are less straightforward for problems involving interfaces moving due to the influence of external fields. Such problems are characterized by additional challenges, such as mesh dynamics,...
The boundary element method (BEM) is able to solve partial differential equations without volumetric discretization and integration. Therefore, the BEM is able to reduce the compuational as well as the meshing effort compared to volumetric methods like classical finite elements. In this work, a conventional and a nonsingular BEM formulation for Stokes flow are presented and investigated in three‐dimensions,...
Metal casting and polymer molding are widely used for the economical shape processing of complex geometries. In these manufacturing processes, a liquid melt (metal, mineral or synthetic) is filled into a mold with a cavity of the desired shape. Cooling and solidification of the melt results in a product with almost the same shape as the cavity. Numerical simulations can be employed to increase the...
A new approach to obtain a volumetric discretization from a T-spline surface representation is presented. A T-spline boundary zone is created beneath the surface, while the core of the model is discretized with Lagrangian elements. T-spline enriched elements are used as an interface between isogeometric and Lagrangian finite elements. The thickness of the T-spline zone and thereby the isogeometric...
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