Preparing Trimmed CAD Models for Electrostatic Simulations using Discontinuous Galerkin BEM
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Deriving analysis-suitable models from state-of-the-art CAD geometries is still challenging and time-consuming. Two main issues are (i) the fact that CAD geometries merely define the boundary of an object and (ii) the corresponding boundary representation (B-Rep) usually consists of trimmed patches, which are not directly ready for numerical simulation purposes. We aim to mitigate these challenges by first enhancing the CAD connectivity data of trimmed patches and second lowering the requirement on the analysis method concerning the connectivity between patches. To be precise, we propose a discontinuous Galerkin boundary element method, which also allows the simulation on B-Reps without needing a volumetric discretization. The connectivity information necessary for performing the numerical integration is established on the CAD model and subsequently inherited by the non-conforming simulation meshes that can be set up for each patch individually. The approach is incorporated within CAD software. We verify its capability by electrostatic numerical benchmark tests.
