High-Order Output-Based Adaptive Methods for Steady and Unsteady Aerodynamics
نویسنده
چکیده
2 Discretization 9 2.1 The Discontinuous Galerkin Method . . . . . . . . . . . . . . . . . . . . . 9 2.1.1 Conservation Equations . . . . . . . . . . . . . . . . . . . . . . . . 9 2.1.2 Solution Approximation . . . . . . . . . . . . . . . . . . . . . . . . 9 2.1.3 Weak Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.1.4 Discrete System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.1.5 Nonlinear Solver . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.2 Discrete Adjoint . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.2.1 Local Sensitivity Analysis . . . . . . . . . . . . . . . . . . . . . . . 13 2.2.2 The Adjoint System . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2.3 Adjoint Consistency . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.3 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.3.1 Method of Manufactured Solutions . . . . . . . . . . . . . . . . . . 16 2.3.2 Adjoint Sensitivity Tests . . . . . . . . . . . . . . . . . . . . . . . . 19
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