A Non-Intrusive Algorithm for Sensitivity Analysis of Chaotic Flow Simulations
نویسندگان
چکیده
1 m⇥ 1 vectors of ones a Speed of sound A m⇥ 1 vector of homogeneous tangent solution weights B m⇥ 1 vector with projection of tangent onto homogeneous tangent solutions CD Drag coe cient CL Lift coe cient D Drag D Design variable of interest f , F Objective functions or instantaneous contribution to objective functions G Objective function sensitivities g n⇥ 1 linearization of instantaneous contribution to objective function H Time dilation instantaneous contribution to sensitivity of objective function K Number of time segments L Lift I m⇥m identity matrix M Mach number m Number of homogeneous tangent solutions n Number of states (degrees of freedom) Q n⇥ 1 vector of conserved variables R n⇥ 1 spatial residual vector r, s, b Lorenz system parameters t Time
منابع مشابه
Modified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption
In this study, we propose a secure communication scheme based on the synchronization of two identical fractional-order chaotic systems. The fractional-order derivative is in Caputo sense, and for synchronization, we use a robust sliding-mode control scheme. The designed sliding surface is taken simply due to using special technic for fractional-order systems. Also, unlike most manuscripts, the ...
متن کاملChaotic Analysis and Prediction of River Flows
Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...
متن کاملSuppression of Chaotic Behavior in Duffing-holmes System using Backstepping Controller Optimized by Unified Particle Swarm Optimization Algorithm
The nonlinear behavior analysis and chaos control for Duffing-Holmes chaotic system is discussed in the paper. In order to suppress the irregular chaotic motion, an optimal backstepping controller is designed. The backstepping method consists of parameters with positive values. The improper selection of the parameters leads to inappropriate responses or even may lead to instability of the syste...
متن کاملA stack-based chaotic algorithm for encryption of colored images
In this paper, a new method is presented for encryption of colored images. This method is based on using stack data structure and chaos which make the image encryption algorithm more efficient and robust. In the proposed algorithm, a series of data whose range is between 0 and 3 is generated using chaotic logistic system. Then, the original image is divided into four subimages, and these four i...
متن کاملSensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Shadowing (NILSS)
This paper develops the tangent Non-Intrusive Least Square Shadowing (NILSS) method, which computes the sensitivity for long-time averaged objectives in chaotic dynamical systems. In NILSS, we represent a tangent solution as a linear combination of a inhomogeneous tangent solution and some homogeneous tangent solutions. Then we solve a least square problem under this new representation. NILSS i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016