| Author | Jianfeng Yan, Jason Hicken |
|---|---|
| Title | Immersed Boundary Method as an Inverse Problem |
| Year | 2018 |
| Journal | 2018 Fluid Dynamics Conference, AIAA AVIATION Forum |
| Abstract | In this paper we propose a new immersed boundary method (IBM). To enforce Dirichlet boundary conditions, control variables are introduced element boundaries that approximate the exact boundary. The control variables are determined by solving an inverse problem. The proposed method is high-order accurate and agnostic to the discretization. To verify the accuracy of the scheme, convection-diffusion problems are solved with a discontinuous Galerkin finite element discretization. The Karush-Kuhn-Tucker (KKT) system is solved in the full space, and two preconditioners are developed and tested. |
| PDF File |  Download |
| DOI Link | 10.2514/6.2018-4162 |