Edward Love
Sandia National Laboratories
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Featured researches published by Edward Love.
46th AIAA Aerospace Sciences Meeting and Exhibit | 2008
Allen C. Robinson; Otto Eric Strack; Richard Roy Drake; Michael K. W. Wong; V. Gregory Weirs; Thomas Eugene Voth; Heath L. Hanshaw; Thomas A. Brunner; Susan K. Carroll; Stewart John Mosso; Sharon Joy Victor Petney; Guglielmo Scovazzi; William J. Rider; Curtis Curry Ober; Christopher Joseph Garasi; John Neiderhaus; Edward Love; Raymond William Lemke; Randall M. Summers
ALEGRA is an arbitrary Lagrangian-Eulerian (multiphysics) computer code developed at Sandia National Laboratories since 1990. The code contains a variety of physics options including magnetics, radiation, and multimaterial flow. The code has been developed for nearly two decades, but recent work has dramatically improved the code’s accuracy and robustness. These improvements include techniques applied to the basic Lagrangian differencing, artificial viscosity and the remap step of the method including an important improvement in the basic conservation of energy in the scheme. We will discuss the various algorithmic improvements and their impact on the results for important applications. Included in these applications are magnetic implosions, ceramic fracture modeling, and electromagnetic launch.
Archive | 2006
Mikhail J. Shashkov; Edward Love; Guglielmo Scovazzi
A new multi-scale, stabilized method for Q1/P0 finite element computations of Lagrangian shock hydrodynamics is presented. Instabilities (of hourglass type) are controlled by a stabilizing operator derived using the variational multi-scale analysis paradigm. The resulting stabilizing term takes the form of a pressure correction. With respect to currently implemented hourglass control approaches, the novelty of the method resides in its residual-based character. The stabilizing residual has a definite physical meaning, since it embeds a discrete form of the Clausius-Duhem inequality. Effectively, the proposed stabilization samples and acts to counter the production of entropy due to numerical instabilities. The proposed technique is applicable to materials with no shear strength, for which there exists a caloric equation of state. The stabilization operator is incorporated into a mid-point, predictor/multi-corrector time integration algorithm, which conserves mass, momentum and total energy. Encouraging numerical results in the context of compressible gas dynamics confirm the potential of the method.
Journal of Computational Physics | 2009
Edward Love; William J. Rider; Guglielmo Scovazzi
This article presents the complete von Neumann stability analysis of a predictor/multi-corrector scheme derived from an implicit mid-point time integrator often used in shock hydrodynamics computations in combination with staggered spatial discretizations. It is shown that only even iterates of the method yield stable computations, while the odd iterates are, in the most general case, unconditionally unstable. These findings are confirmed by, and illustrated with, a number of numerical computations. Dispersion error analysis is also presented.
Archive | 2009
William J. Rider; Edward Love; Guglielmo Scovazzi
Algorithmic properties of the midpoint predictor-corrector time integration algorithm are examined. In the case of a finite number of iterations, the errors in angular momentum conservation and incremental objectivity are controlled by the number of iterations performed. Exact angular momentum conservation and exact incremental objectivity are achieved in the limit of an infinite number of iterations. A complete stability and dispersion analysis of the linearized algorithm is detailed. The main observation is that stability depends critically on the number of iterations performed.
Archive | 2013
James R. Kamm; Edward Love; Allen C. Robinson; Joseph G Young; Denis Ridzal
We review the edge element formulation for describing the kinematics of hyperelastic solids. This approach is used to frame the problem of remapping the inverse deformation gradient for Arbitrary Lagrangian-Eulerian (ALE) simulations of solid dynamics. For hyperelastic materials, the stress state is completely determined by the deformation gradient, so remapping this quantity effectively updates the stress state of the material. A method, inspired by the constrained transport remap in electromagnetics, is reviewed, according to which the zero-curl constraint on the inverse deformation gradient is implicitly satisfied. Open issues related to the accuracy of this approach are identified. An optimization-based approach is implemented to enforce positivity of the determinant of the deformation gradient. The efficacy of this approach is illustrated with numerical examples.
Computer Methods in Applied Mechanics and Engineering | 2008
Guglielmo Scovazzi; Edward Love; Mikhail J. Shashkov
Computer Methods in Applied Mechanics and Engineering | 2010
Guglielmo Scovazzi; John N. Shadid; Edward Love; William J. Rider
International Journal for Numerical Methods in Fluids | 2010
Guglielmo Scovazzi; Edward Love
Computer Methods in Applied Mechanics and Engineering | 2009
Edward Love; Guglielmo Scovazzi
International Journal for Numerical Methods in Fluids | 2011
Allen C. Robinson; John Henry Niederhaus; V. G. Weirs; Edward Love