تقرير
Analytic Adjoint Solutions for the 2D Incompressible Euler Equations Using the Green's Function Approach
| العنوان: | Analytic Adjoint Solutions for the 2D Incompressible Euler Equations Using the Green's Function Approach |
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| المؤلفون: | Lozano, Carlos, Ponsin, Jorge |
| المصدر: | Journal of Fluid Mechanics 943 (2022) A22 |
| سنة النشر: | 2022 |
| المجموعة: | Computer Science Mathematics Physics (Other) |
| مصطلحات موضوعية: | Physics - Fluid Dynamics, Mathematics - Numerical Analysis, Physics - Computational Physics |
| الوصف: | The Green's function approach of Giles and Pierce is used to build the lift and drag based analytic adjoint solutions for the two-dimensional incompressible Euler equations around irrotational base flows. The drag-based adjoint solution turns out to have a very simple closed form in terms of the flow variables and is smooth throughout the flow domain, while the lift-based solution is singular at rear stagnation points and sharp trailing edges owing to the Kutta condition. This singularity is propagated to the whole dividing streamline (which includes the incoming stagnation streamline and the wall) upstream of the rear singularity (trailing edge or rear stagnation point) by the sensitivity of the Kutta condition to changes in the stagnation pressure. Comment: This is a postprint (accepted version) of an article published in the Journal of Fluid Mechanics. The published version may differ from this postprint and is available at: Lozano, C., & Ponsin, J. "Analytic adjoint solutions for the 2-D incompressible Euler equations using the Green's function approach". Journal of Fluid Mechanics (2022). doi:10.1017/jfm.2022.415 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1017/jfm.2022.415 |
| URL الوصول: | http://arxiv.org/abs/2201.08128 |
| رقم الأكسشن: | edsarx.2201.08128 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1017/jfm.2022.415 |
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