Relevant bibliographies by topics / Nonlinear Multidomain Model

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Academic literature on the topic 'Nonlinear Multidomain Model'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Nonlinear Multidomain Model"

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CALABRÒ, FRANCESCO, and PAOLO ZUNINO. "ANALYSIS OF PARABOLIC PROBLEMS ON PARTITIONED DOMAINS WITH NONLINEAR CONDITIONS AT THE INTERFACE: APPLICATION TO MASS TRANSFER THROUGH SEMI-PERMEABLE MEMBRANES." Mathematical Models and Methods in Applied Sciences 16, no. 04 (April 2006): 479–501. http://dx.doi.org/10.1142/s0218202506001236.

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In this work we address a problem governed by linear parabolic partial differential equations set in two adjoining domains, coupled by nonlinear interface conditions of Neumann type. In particular, we address the existence and uniqueness of strong solutions by applying the strong maximum principle, the Schauder fixed point theorem and the fundamental solutions of linear parabolic partial differential equations.In the first part of this work, we consider the properties of a linear parabolic partial differential equation set on a single domain with a nonlinear boundary condition. After having addressed the well-posedness and some comparison results for the problem on one domain, in the second part of this work we address the case of coupled problems on adjoining domains. In both cases, we complete the understanding of the behavior of the solution of the problems at hand by means of numerical simulations.The theoretical results obtained here are applied to study the behavior of a biological model for the transfer of chemicals through thin biological membranes. This model represents the dynamics of the concentration u of a chemical solution separated from the exterior by a semi-permeable membrane.The analysis of the two-domain problem that we carry out could also be used to investigate the convergence property of iterative substructuring methods applied to the approximation of multidomain problems with nonlinear coupling of Neumann type.
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Wu, Yanling, Qiong Wu, Fei Sun, Cai Cheng, Sheng Meng, and Jimin Zhao. "Emergence of electron coherence and two-color all-optical switching in MoS2 based on spatial self-phase modulation." Proceedings of the National Academy of Sciences 112, no. 38 (September 8, 2015): 11800–11805. http://dx.doi.org/10.1073/pnas.1504920112.

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Generating electron coherence in quantum materials is essential in optimal control of many-body interactions and correlations. In a multidomain system this signifies nonlocal coherence and emergence of collective phenomena, particularly in layered 2D quantum materials possessing novel electronic structures and high carrier mobilities. Here we report nonlocal ac electron coherence induced in dispersed MoS2 flake domains, using coherent spatial self-phase modulation (SSPM). The gap-dependent nonlinear dielectric susceptibility χ(3) measured is surprisingly large, where direct interband transition and two-photon SSPM are responsible for excitations above and below the bandgap, respectively. A wind-chime model is proposed to account for the emergence of the ac electron coherence. Furthermore, all-optical switching is achieved based on SSPM, especially with two-color intraband coherence, demonstrating that electron coherence generation is a ubiquitous property of layered quantum materials.
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BLANCHARD, DOMINIQUE, ANTONIO GAUDIELLO, and JACQUELINE MOSSINO. "HIGHLY OSCILLATING BOUNDARIES AND REDUCTION OF DIMENSION: THE CRITICAL CASE." Analysis and Applications 05, no. 02 (April 2007): 137–63. http://dx.doi.org/10.1142/s0219530507000924.

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In [4], the first two authors studied a nonlinear monotone problem in a multidomain composed of a part [Formula: see text], with a highly oscillating boundary, placed upon an asymptotically flat part of thickness hε. More precisely, [Formula: see text] is a "forest" of cylinders with fixed height and small cross section of size ε, distributed with ε-periodicity upon the flat domain. The analysis was achieved under the assumption εp/hε → 0 (p - 1 is the growth order of the operator at infinity), as ε tends to 0, and for rescaled external forces hε fε converging to 0 in the (rescaled) flat domain. In the present paper, we present the analysis under the assumption εp/hε → l, with l ∈ [0, +∞], and for general limit forces in the flat domain. When l ∈ ]0, +∞[, we show that a discontinuity in the Dirichlet transmission condition may occur between the limit domain filled by the oscillating boundary and the plate. This discontinuity is derived through solving a nonlinear problem (in general for a different monotone operator) in the unit cell of the oscillating boundary. When l = +∞, we show that a deterministic limit model may hardly be expected.
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Liu, Yingjie, Tengfei Yuan, and Rongchen Zhao. "Trajectory Tracking Model Predictive Controller Design for Autonomous Vehicles with Updating Constrains of Tire Characteristics." World Electric Vehicle Journal 14, no. 2 (February 15, 2023): 54. http://dx.doi.org/10.3390/wevj14020054.

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In this paper, we address the problem of trajectory tracking control of autonomous vehicles by considering the nonlinear characteristics of tires. By considering the influence of the tires’ dynamics on steering stability, the proposed predictive controller can track the desired trajectory and desired velocity in the presence of road curvature while minimizing the lateral tracking deviation. First of all, a hierarchical control structure is adopted, in which the upper-level controller is used to calculate the desired acceleration and the desired front-wheel angle to maintain the control target, and the lower-level controller realized the command through the corresponding component devices. Moreover, a force estimator is designed based on the radial basis function (RBF) neural network to estimate the lateral force of the tires, which is incorporated into the boundary conditions of the vehicle envelope constraint to improve the adaptability of the controller to the vehicle performance. Finally, the proposed controller is tested by co-simulation of CarSim (a simulation software specifically for vehicle dynamics)/Simulink (a modular diagram environment for multidomain simulation as well as model-based design) and hardware-in-loop simulation system. The co-simulation and experimental results demonstrate the controller safely driving at the vehicle’s handling limits and effectively reduce the slip phenomenon of the vehicle.
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Wu, Yu-Shu, Jianfang Li, Didier-Yu Ding, Cong Wang, and Yuan Di. "A Generalized Framework Model for the Simulation of Gas Production in Unconventional Gas Reservoirs." SPE Journal 19, no. 05 (April 4, 2014): 845–57. http://dx.doi.org/10.2118/163609-pa.

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Summary Unconventional gas resources from tight-sand and shale gas reservoirs have received great attention in the past decade around the world because of their large reserves and technical advances in developing these resources. As a result of improved horizontal-drilling and hydraulic-fracturing technologies, progress is being made toward commercial gas production from such reservoirs, as demonstrated in the US. However, understandings and technologies needed for the effective development of unconventional reservoirs are far behind the industry needs (e.g., gas-recovery rates from those unconventional resources remain very low). There are some efforts in the literature on how to model gas flow in shale gas reservoirs by use of various approaches—from modified commercial simulators to simplified analytical solutions—leading to limited success. Compared with conventional reservoirs, gas flow in ultralow-permeability unconventional reservoirs is subject to more nonlinear, coupled processes, including nonlinear adsorption/desorption, non-Darcy flow (at both high flow rate and low flow rate), strong rock/fluid interaction, and rock deformation within nanopores or microfractures, coexisting with complex flow geometry and multiscaled heterogeneity. Therefore, quantifying flow in unconventional gas reservoirs has been a significant challenge, and the traditional representative-elementary-volume- (REV) based Darcy's law, for example, may not be generally applicable. In this paper, we discuss a generalized mathematical framework model and numerical approach for unconventional-gas-reservoir simulation. We present a unified framework model able to incorporate known mechanisms and processes for two-phase gas flow and transport in shale gas or tight gas formations. The model and numerical scheme are based on generalized flow models with unstructured grids. We discuss the numerical implementation of the mathematical model and show results of our model-verification effort. Specifically, we discuss a multidomain, multicontinuum concept for handling multiscaled heterogeneity and fractures [i.e., the use of hybrid modeling approaches to describe different types and scales of fractures or heterogeneous pores—from the explicit modeling of hydraulic fractures and the fracture network in stimulated reservoir volume (SRV) to distributed natural fractures, microfractures, and tight matrix]. We demonstrate model application to quantify hydraulic fractures and transient flow behavior in shale gas reservoirs.
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Song, Rencheng, Jianxin Zhu, and Xuecang Zhang. "Full-vectorial modal analysis for circular optical waveguides based on the multidomain Chebyshev pseudospectral method." Journal of the Optical Society of America B 27, no. 9 (August 9, 2010): 1722. http://dx.doi.org/10.1364/josab.27.001722.

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Behbahani, Saeed, and Clarence W. de Silva. "Automated Identification of a Mechatronic System Model Using Genetic Programming and Bond Graphs." Journal of Dynamic Systems, Measurement, and Control 135, no. 5 (May 29, 2013). http://dx.doi.org/10.1115/1.4024171.

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Modeling, identification (experimental modeling), and design of dynamic systems and the associated problem of controller design are common problems in the field of mechatronics. A typical mechatronic problem entails finding the best topology as well as parameter values of the desired solution. In view of dynamic interactions in a mechatronic system, which involves more than one domain, it is desirable to use concurrent and integrated methodology in the solution. The powerful search ability of genetic programming (GP) along with the domain independence and the open architecture of bond graph (BG) modeling can be integrated to develop an evolutionary mechatronic tool for identification of a complex mechatronic system. This paper extends this integrated approach to nonlinear mechatronic problems and develops a software tool for this purpose. It is illustrated how the developed technique and the corresponding software tool can be used in the automated synthesis and identification of a nonlinear mechatronic system. The performance of the software tool is validated by applying it to a nonlinear electrohydraulic manipulator, which falls into the class of multidomain systems. The results obtained from the application are quite encouraging, and form a rationale for the extension of the tool for concurrent and optimal design of mechatronic systems.
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Rahimi, Afshin, and Mofiyinoluwa O. Folami. "Reaction Wheels Fault Isolation Onboard 3-Axis Controlled Satel-lite using Enhanced Random Forest with Multidomain Features." International Journal of Prognostics and Health Management 12, no. 2 (October 11, 2021). http://dx.doi.org/10.36001/ijphm.2021.v12i2.3078.

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As the number of satellite launches increases each year, it is only natural that an interest in the safety and monitoring of these systems would increase as well. However, as a system becomes more complex, generating a high-fidelity model that accurately describes the system becomes complicated. Therefore, imploring a data-driven method can provide to be more beneficial for such applications. This research proposes a novel approach for data-driven machine learning techniques on the detection and isolation of nonlinear systems, with a case-study for an in-orbit closed loop-controlled satellite with reaction wheels as actuators. High-fidelity models of the 3-axis controlled satellite are employed to generate data for both nominal and faulty conditions of the reaction wheels. The generated simulation data is used as input for the isolation method, after which the data is pre-processed through feature extraction from a temporal, statistical, and spectral domain. The pre-processed features are then fed into various machine learning classifiers. Isolation results are validated with cross-validation, and model parameters are tuned using hyperparameter optimization. To validate the robustness of the proposed method, it is tested on three characterized datasets and three reaction wheel configurations, including standard four-wheel, three-orthogonal, and pyramid. The results prove superior performance isolation accuracy for the system under study compared to previous studies using alternative methods (Rahimi & Saadat, 2019, 2020).
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Akbari Hamed, Kaveh, Bita Safaee, and Robert D. Gregg. "Dynamic Output Controllers for Exponential Stabilization of Periodic Orbits for Multidomain Hybrid Models of Robotic Locomotion." Journal of Dynamic Systems, Measurement, and Control 141, no. 12 (September 24, 2019). http://dx.doi.org/10.1115/1.4044618.

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Abstract The primary goal of this paper is to develop an analytical framework to systematically design dynamic output feedback controllers that exponentially stabilize multidomain periodic orbits for hybrid dynamical models of robotic locomotion. We present a class of parameterized dynamic output feedback controllers such that (1) a multidomain periodic orbit is induced for the closed-loop system and (2) the orbit is invariant under the change of the controller parameters. The properties of the Poincaré map are investigated to show that the Jacobian linearization of the Poincaré map around the fixed point takes a triangular form. This demonstrates the nonlinear separation principle for hybrid periodic orbits. We then employ an iterative algorithm based on a sequence of optimization problems involving bilinear matrix inequalities to tune the controller parameters. A set of sufficient conditions for the convergence of the algorithm to stabilizing parameters is presented. Full-state stability and stability modulo yaw under dynamic output feedback control are addressed. The power of the analytical approach is ultimately demonstrated through designing a nonlinear dynamic output feedback controller for walking of a three-dimensional (3D) humanoid robot with 18 state variables and 325 controller parameters.
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Book chapters on the topic "Nonlinear Multidomain Model"

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Amato, Stefano, Giovanni Bellettini, and Maurizio Paolini. "The nonlinear multidomain model: a new formal asymptotic analysis." In Geometric Partial Differential Equations proceedings, 33–74. Pisa: Scuola Normale Superiore, 2013. http://dx.doi.org/10.1007/978-88-7642-473-1_2.

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