annexation
发表于 2025-3-28 16:28:50
Adjoint-Based Methods in Aerodynamic Design-Optimization,c design. While there is an extensive literature on numerical implementation of these ideas, the underlying mathematical treatment is usually quite formal. Here we focus on rigorous justification of the approach and on careful characterization of the underlying function spaces. One practical result
handle
发表于 2025-3-28 20:15:10
Semi-Automatic Differentiation,rentiation ideas. We discuss the program structure of generic inverse problems and then illustrate, with two examples (one example involves the heat equation, the other involves wave propagation) how structure can be used in combination with automatic differentiation. Finally, we report numerical re
FADE
发表于 2025-3-29 01:58:46
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abduction
发表于 2025-3-29 04:52:32
Modern Optimization Methods for Structural Optimization under Flutter Constraints,ic parameter dependent eigenvalue problem. The stability is described by the real parts of the eigenvalues. The optimization problem consists of finding design parameters which satisfy certain criteria, for example minimal weight under the restriction of stability. This is reduced to a semi-infinite
Palatial
发表于 2025-3-29 09:23:13
On Shape Optimization and Related Issues, equations. The practical calculation of the objective function gradient is one of these issues and it clearly includes the use of Automatic Differentiation (AD) techniques for derivative computations. Also, we shall take advantage of this article to describe some recent results concerning the contr
苦涩
发表于 2025-3-29 11:36:57
Using Sensitivities for Flow Analysis, systems. The method yields stability derivatives, provides parametric guidance, accurately predicts boundary-layer thinning and growth, the onset of flow separation, separation bubbles, and the driving mechanisms in chemically reacting flows. The accuracy of sensitivity-equation calculations are as
absorbed
发表于 2025-3-29 18:33:46
Sensitivities in Computational Methods for Optimal Flow Control,ternal energy, temperature, etc.;.. velocity on the boundary, heat flux on the boundary, parameters that determine the shape of the boundary, etc.;...; and...=0, i.e., the flow equations;.side constraints.
Delude
发表于 2025-3-29 20:13:23
Process Modeling and Optimization: Issues and Challenges,sical modeling, numerical methods and the efficient use of computational resources. High Reynolds number, transient, turbulent flows with free surfaces must be modeled in complex 3D geometries. One or two equation turbulence models with wall functions are used. The position of the flow front in the
产生
发表于 2025-3-30 03:51:13
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拱形面包
发表于 2025-3-30 06:48:41
Numerical Computation of Sensitivities and the Adjoint Approach,n the adjoint problem in its weak form. We show how one can avoid some of the problems with the adjoint approach, such as deriving suitable boundary conditions for the adjoint equation. We discuss the convergence of numerical approximations of the costate computed via the weak form of the adjoint pr