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LDRD Report: Topological Design Optimization of Convolutes in Next Generation Pulsed Power Devices

Cyr, Eric C.; von Winckel, Gregory J.; Kouri, Drew P.; Gardiner, Thomas A.; Ridzal, Denis R.; Shadid, John N.; Miller, Sean M.

This LDRD project was developed around the ambitious goal of applying PDE-constrained opti- mization approaches to design Z-machine components whose performance is governed by elec- tromagnetic and plasma models. This report documents the results of this LDRD project. Our differentiating approach was to use topology optimization methods developed for structural design and extend them for application to electromagnetic systems pertinent to the Z-machine. To achieve this objective a suite of optimization algorithms were implemented in the ROL library part of the Trilinos framework. These methods were applied to standalone demonstration problems and the Drekar multi-physics research application. Out of this exploration a new augmented Lagrangian approach to structural design problems was developed. We demonstrate that this approach has favorable mesh-independent performance. Both the final design and the algorithmic performance were independent of the size of the mesh. In addition, topology optimization formulations for the design of conducting networks were developed and demonstrated. Of note, this formulation was used to develop a design for the inner magnetically insulated transmission line on the Z-machine. The resulting electromagnetic device is compared with theoretically postulated designs.

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Visco-TTI-elastic FWI using discontinuous galerkin

SEG Technical Program Expanded Abstracts

Ober, Curtis C.; Smith, Thomas M.; Overfelt, James R.; Collis, Samuel S.; von Winckel, Gregory J.; van Bloemen Waanders, Bart G.; Downey, Nathan J.; Mitchell, Scott A.; Bond, Stephen D.; Aldridge, David F.; Krebs, Jerome R.

The need to better represent the material properties within the earth's interior has driven the development of higherfidelity physics, e.g., visco-tilted-transversely-isotropic (visco- TTI) elastic media and material interfaces, such as the ocean bottom and salt boundaries. This is especially true for full waveform inversion (FWI), where one would like to reproduce the real-world effects and invert on unprocessed raw data. Here we present a numerical formulation using a Discontinuous Galerkin (DG) finite-element (FE) method, which incorporates the desired high-fidelity physics and material interfaces. To offset the additional costs of this material representation, we include a variety of techniques (e.g., non-conformal meshing, and local polynomial refinement), which reduce the overall costs with little effect on the solution accuracy.

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11 Results
11 Results