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FLEXO: Development of a Discontinuous Galerkin Multimaterial Magneto-Hydrodynamics Code for MagLIF Simulation

Beckwith, Kristian B.; Beckwith, Kristian B.; Bond, Stephen D.; Bond, Stephen D.; Granzow, Brian N.; Granzow, Brian N.; Hamlin, Nathaniel D.; Hamlin, Nathaniel D.; Martin, Matthew; Martin, Matthew; Powell, Michael P.; Powell, Michael P.; Ruggirello, Kevin P.; Ruggirello, Kevin P.; Stagg, Alan K.; Stagg, Alan K.; Voth, Thomas E.; Voth, Thomas E.

Abstract not provided.

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TYPE Conference Poster YEAR 2019
OSTI

Development of the Flexo XMHD Code

Beckwith, Kristian B.; Beckwith, Kristian B.; Beckwith, Kristian B.; Beckwith, Kristian B.; Bond, Stephen D.; Bond, Stephen D.; Bond, Stephen D.; Bond, Stephen D.; Granzow, Brian N.; Granzow, Brian N.; Granzow, Brian N.; Granzow, Brian N.; Jennings, Christopher A.; Jennings, Christopher A.; Jennings, Christopher A.; Jennings, Christopher A.; Martin, Matthew; Martin, Matthew; Martin, Matthew; Martin, Matthew; Porwitzky, Andrew J.; Porwitzky, Andrew J.; Porwitzky, Andrew J.; Porwitzky, Andrew J.; Stagg, Alan K.; Stagg, Alan K.; Stagg, Alan K.; Stagg, Alan K.; Voth, Thomas E.; Voth, Thomas E.; Voth, Thomas E.; Voth, Thomas E.

Abstract not provided.

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TYPE Conference Poster YEAR 2018
OSTI

Formulation and computation of dynamic, interface-compatible Whitney complexes in three dimensions

Journal of Computational Physics

Kramer, Richard M.; Siefert, Christopher S.; Voth, Thomas E.; Bochev, Pavel B.

A discrete De Rham complex enables compatible, structure-preserving discretizations for a broad range of partial differential equations problems. Such discretizations can correctly reproduce the physics of interface problems, provided the grid conforms to the interface. However, large deformations, complex geometries, and evolving interfaces makes generation of such grids difficult. We develop and demonstrate two formally equivalent approaches that, for a given background mesh, dynamically construct an interface-conforming discrete De Rham complex. Both approaches start by dividing cut elements into interface-conforming subelements but differ in how they build the finite element basis on these subelements. The first approach discards the existing non-conforming basis of the parent element and replaces it by a dynamic set of degrees of freedom of the same kind. The second approach defines the interface-conforming degrees of freedom on the subelements as superpositions of the basis functions of the parent element. These approaches generalize the Conformal Decomposition Finite Element Method (CDFEM) and the extended finite element method with algebraic constraints (XFEM-AC), respectively, across the De Rham complex.

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TYPE Journal Article YEAR 2018
ScopusOSTIDOI

Topology Optimization of Cellular Structure

Robbins, Joshua R.; Owen, Steven J.; Clark, Brett W.; Voth, Thomas E.

This paper presents an end-to-end design process for compliance minimization based topological optimization of cellular structures through to the realization of a final printed product. Homogenization is used to derive properties representative of these structures through direct numerical simulation of unit cell models of the underlying periodic structure. The resulting homogenized properties are then used assuming uniform distribution of the cellular structure to compute the final macro-scale structure. A new method is then presented for generating an STL representation of the final optimized part that is suitable for printing on typical industrial machines. Quite fine cellular structures are shown to be possible using this method as compared to other approaches that use nurb based CAD representations of the geometry. Finally, results are presented that illustrate the fine-scale stresses developed in the final macro-scale optimized part and suggestions are made as to incorporate these features into the overall optimization process.

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TYPE Journal Article YEAR 2015
OSTI
Results 1–25 of 75
Results 1–25 of 75