Optimum Shape Design for Unsteady Flows with Time-Accurate Continuous and Discrete Adjoint Methods

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Adjoint formulation and constraint handling for gradient-based optimization of compositional reservoir flow (2014, background): “In particular, Nadarajah and Jameson [27], who studied a shape optimization problem in supersonic flow, concluded that the continuous adjoint formulation provides more accurate gradients in the presence of large discretization errors, which are often present in the vicinity of shock waves.”