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An Immersed Boundary Formulation for Acoustic Scattering in a Discontinuous Galerkin Spectral Element Method
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Computational aeroacoustics methods benefit from high-order schemes with reduced dispersion and dissipation errors. Likewise the use of Cartesian meshes leads to an optimum in terms of numerical error. However, such methods suffer from the complexity of proper boundary condition formulations. The present work presents a solid slip wall boundary condition formulation of immersed boundary type for the first-order acoustic perturbation equations, which is particularly tailored for use in a high-order nodal discontinuous Galerkin spectral element method.
