1-3 of 3 results
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Discontinuity-driven mesh adaptation method for hyperbolic conservation laws
PI Mihhail Berezovski
The proposed project is aimed at developing a highly accurate, efficient, and robust one-dimensional adaptive-mesh computational method for simulation of the propagation of discontinuities in solids. The principal part of this research is focused on the development of a new mesh adaptation technique and an accurate discontinuity tracking algorithm that will enhance the accuracy and efficiency of computations. The main idea is to combine the flexibility afforded by a dynamically moving mesh with the increased accuracy and efficiency of a discontinuity tracking algorithm, while preserving the stability of the scheme.
Key features of the proposed method are accuracy and stability, which will be ensured by the ability of the adaptive technique to preserve the modified mesh as close to the original fixed one as possible. To achieve this goal, a special monitor function is introduced along with an accurate grid reallocation technique. The resulting method, while based on the thermodynamically consistent numerical algorithm for wave and front propagation formulated in terms of excess quantities, incorporates special numerical techniques for an accurate and efficient interface tracking, and a dynamic grid reconstruction function. The numerical results using this method will be compared with results of phase-transition front propagation in solids and densification front propagation in metal foam obtained by applying the fixed-mesh method be used to justify the effectiveness and correctness of the proposed framework. This project will contribute significantly towards the development of corresponding methods in higher dimensions including dynamic crack propagation problems. Development of modern high-resolution finite-volume methods for propagation of discontinuities in solids, as well as of supplementary techniques, is essential for a broad class of problems arising in today's science. The broader impact of this project also includes educational purposes. The method used in this project will be incorporated into future projects for computational mathematics major students who will gain an experience in the state-of-the-art computational science.Categories: Faculty-Staff
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Collaborative Research: Wideband Multi-Beam Antenna Arrays: Low-Complexity Algorithms and Analog-CMOS Implementations
PI Sirani Mututhanthrige Perera
PI Arjuna Habarakada Madanayake
PI Soumyajit Mandal
Explosion of millimeter-wave (mm-wave) bandwidth opens up applications in 5G wireless systems spanning communications, localization, imaging, and radar. This project addresses challenges in mathematics, engineering, and science in developing efficient wideband beamformers based on sparse factorizations of the matrix called-delay Vandermonde matrices (DVM). The proposed highly integrated approach is attractive for mobile applications including 5G smart devices, the internet of things, mobile robotics, unmanned aerial vehicles, and other emerging applications focused on mm-waves.
A multi-beam array receiver is deeply difficult to realize in integrated circuit (IC) form due to the underlying complexity of its signal flow graph. Through the proposed work, mathematical methods based on the theories of i) sparse factorization and complexity of the structured complex DVM with the introduction of a super class for the discrete Fourier transform(which is DVM), and ii) approximation transforms are proved to solve this problem.
The resulting matrices are realized with multi-GHz bandwidths using analog ICs. The novel DVM algorithm solves the longstanding "beam squint" problem, i.e., the fact that the beam direction changes with input frequency, making true wideband operation impossible. Moreover, the proposed multi-beamforming networks in analog IC form will be realized efficiently while addressing precision circuit design, digital calibration, built-in self-test, etc. Besides scientific merits, both minority students and female students will be mentored to pursue careers in the STEM disciplines through the proposed project.
This project was funded by the National Science Foundation (the division of Electrical, Communications, and Cyber Systems) with award numbers 1711625 and 1711395.
Categories: Faculty-Staff
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Media Literacy and Online Critical Thinking Initiatives
PI Diane Zorri
CO-I Ann Phillips
CO-I Daniel Gressang
CO-I Matthew Sharp
CO-I Mihhail Berezovski
CO-I Rachel Silverman
CO-I Steven Master
This project proposes a train-the-trainer professional development program for Volusia county’s secondary school educators to co-opt pedagogical tools and methods that challenge online violence mobilization narratives, increase awareness of violent extremist messaging and recruiting, and increase the capabilities of targeted populations to resist and counter messaging.
Participants of Embry-Riddle Aeronautical University’s train-the-trainer seminars will identify problematic online and media messages that could lead to radicalization to violent extremism, critically evaluate the problematic assumptions, data, or logic of those messages, and develop pedagogical strategies for teaching their own students to recognize and critically evaluate those messages. This applicant fulfills the grant program priority to achieve diversity of project type.Categories: Faculty-Staff
1-3 of 3 results