On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations
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Adjoint Formulation for an Embedded-Boundary Cartesian Method
A discrete-adjoint formulation is presented for the three-dimensional Euler equations discretized on a Cartesian mesh with embedded boundaries. The solution algorithm for the adjoint and flow-sensitivity equations leverages the Runge–Kutta time-marching scheme in conjunction with the parallel multigrid method of the flow solver. The matrix-vector products associated with the linearization of th...
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