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pro vyhledávání: '"Kaptanoglu, Alan A."'
The reduction of magnetic forces on electromagnetic coils is an important consideration in the design of high-field devices such as the stellarator or tokamak. Unfortunately, these forces may be too time-consuming to evaluate by conventional finite e
Externí odkaz:
http://arxiv.org/abs/2410.09337
Most present stellarator designs are produced by costly two-stage optimization: the first for an optimized equilibrium, and the second for a coil design reproducing its magnetic configuration. Few proxies for coil complexity and forces exist at the e
Externí odkaz:
http://arxiv.org/abs/2408.08267
Autor:
Peng, Mai, Kaptanoglu, Alan, Hansen, Chris, Stevens-Haas, Jacob, Manohar, Krithika, Brunton, Steven L.
The Navier Stokes equations (NSEs) are partial differential equations (PDEs) to describe the nonlinear convective motion of fluids and they are computationally expensive to simulate because of their high nonlinearity and variables being fully coupled
Externí odkaz:
http://arxiv.org/abs/2403.00324
Autor:
Jang, Byoungchan, Kaptanoglu, Alan A., Gaur, Rahul, Pan, Shaowu, Landreman, Matt, Dorland, William
A large number of magnetohydrodynamic (MHD) equilibrium calculations are often required for uncertainty quantification, optimization, and real-time diagnostic information, making MHD equilibrium codes vital to the field of plasma physics. In this pap
Externí odkaz:
http://arxiv.org/abs/2311.13491
Reduced-order models have been widely adopted in fluid mechanics, particularly in the context of Newtonian fluid flows. These models offer the ability to predict complex dynamics, such as instabilities and oscillations, at a considerably reduced comp
Externí odkaz:
http://arxiv.org/abs/2308.04405
Topology optimization, a technique to determine where material should be placed within a predefined volume in order to minimize a physical objective, is used across a wide range of scientific fields and applications. A general application for topolog
Externí odkaz:
http://arxiv.org/abs/2306.12555
Sparse system identification is the data-driven process of obtaining parsimonious differential equations that describe the evolution of a dynamical system, balancing model complexity and accuracy. There has been rapid innovation in system identificat
Externí odkaz:
http://arxiv.org/abs/2302.10787
A number of scientific fields rely on placing permanent magnets in order to produce a desired magnetic field. We have shown in recent work that the placement process can be formulated as sparse regression. However, binary, grid-aligned solutions are
Externí odkaz:
http://arxiv.org/abs/2208.10620
A common scientific inverse problem is the placement of magnets that produce a desired magnetic field inside a prescribed volume. This is a key component of stellarator design, and recently permanent magnets have been proposed as a potentially useful
Externí odkaz:
http://arxiv.org/abs/2207.08984
Autor:
Kaptanoglu, Alan A., de Silva, Brian M., Fasel, Urban, Kaheman, Kadierdan, Goldschmidt, Andy J., Callaham, Jared L., Delahunt, Charles B., Nicolaou, Zachary G., Champion, Kathleen, Loiseau, Jean-Christophe, Kutz, J. Nathan, Brunton, Steven L.
Automated data-driven modeling, the process of directly discovering the governing equations of a system from data, is increasingly being used across the scientific community. PySINDy is a Python package that provides tools for applying the sparse ide
Externí odkaz:
http://arxiv.org/abs/2111.08481