A Cartesian Extended Discontinuous Galerkin Solver for Conjugate Heat Transfer
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This work presents a discontinuous Galerkin discretization for conjugate heat transfer with immersed interfaces. The fluid-solid interface is described by a level set function, resulting into extended-DG elements, i.e., elements that have separate degrees of freedom for both physics. The emphasis of the work is set on the spatial discretization and taking advantage of the simultaneous enforcement of Dirichlet and Neumann conditions allowed by DG, a bi-directional exchange between the two physics is introduced, thus ensuring a strong coupling.
