High Order Accurate Curved-element Implementation in OpenFOAM for Discontinuous Galerkin Method
نویسندگان
چکیده
A high order accurate discontinuous galerkin method based curvedelement implementation in OpenFOAM is presented in this work. The degree of freedom points on origin straight side mesh are mapped to curvilinear edges by finding nearest points on boundary. Then the deformation are transported to the inner points by blended method. Based on the run-time dynamic code of OpenFOAM, we design a convenient interface for users to configure the parameterized function of curvilinear boundary. The curved-element implementation is applied to the simulation of vacuum Maxwell equations in metallic air-filled cavity. Results show that the curved-element has significantly improved the mesh quality. High order numerical convergence rate has been achieved.
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