Chen, Yaodeng; Zhang, Ruizhi; Gao, Yufang; Lu, Changna Analysis of the properties of adjoint equations and accuracy verification of adjoint model based on FVM. (English) Zbl 1470.76062 Abstr. Appl. Anal. 2014, Article ID 407468, 7 p. (2014). Summary: There are two different approaches on how to formulate adjoint numerical model (ANM). Aiming at the disputes arising from the construction methods of ANM, the differences between nonlinear shallow water equation and its adjoint equation are analyzed; the hyperbolicity and homogeneity of the adjoint equation are discussed. Then, based on unstructured meshes and finite volume method, a new adjoint model was advanced by getting numerical model of the adjoint equations directly. Using a gradient check, the correctness of the adjoint model was verified. 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