Analytic adjoint solutions for the quasi-one-dimensional Euler equations
By M. Giles, Niles A. Pierce. Journal of Fluid Mechanics, 2001
157 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/41f000f9afce042288cccc8e51f9704250e0d956
How researchers see this paper
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In Applied Mathematics
- David L. Darmofal
- Krzysztof J. Fidkowski
- Gábor Janiga
- Dominique Thévenin
- Richard P. Dwight
- Jacques Peter
- M. Giles
- Niles A. Pierce
In Computational Mechanics
- David L. Darmofal
- Krzysztof J. Fidkowski
- Gábor Janiga
- Dominique Thévenin
- Niles A. Pierce
- M. Giles
- Jacques Peter
- Richard P. Dwight
Citations in the corpus
- Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics (2011, background): “The exact adjoint can be regarded as a Green’s function relating source perturbations in the original partial differential equation to perturbations in the output [41,42].”
- Numerical sensitivity analysis for aerodynamic optimization: A survey of approaches (2010, methodology): “– Mathematical and physical understanding of the adjoint problem is aided by consideration the continuous approach, as exemplified by analytic adjoint solutions for 1D Euler problems [74].”
- Optimization and Computational Fluid Dynamics (2008, methodology): “He also presented the analytical solutions of the adjoint equations using Green’s functions [56], an exact approach for the solution of the adjoint equations [22], a shock wave reduction method in external aerodynamics [21] and the harmonic approach to turbomachinery steady and unsteady designs [11,”
- Stability, Receptivity, and Sensitivity Analyses of Buffeting Transonic Flow over a Profile (2015, background): “However, for two-dimensional configurations, as is the case here, considering the influence region of points in the neighborhood of the sonic line, it may be shown that such singularities no longer exist [40].”
- Adjoint and defect error bounding and correction for functional estimates (2003, background): “This approach reveals that the adjoint equations corresponding to the steady quasi-1D Euler equations require an interior boundary condition at the shock location [29].”