Publications

McGregor, Duncan A.; Love, Edward L.; Sirajuddin, David S.; Swan, Matthew S.; Collins, David I.; Pawlowski, Roger P.; Cartwright, Keith C.; Stafford, David S.

This is the user manual for EMPIRE, a simulation code for electromagnetics and plasma physics.

Voth, Thomas E.; Beckwith, Kristian B.; Bond, Stephen D.; Granzow, Brian N.; Hamlin, Nathaniel D.; Hanshaw, Heath L.; Hansen, Glen H.; Jennings, Christopher A.; Love, Edward L.; Martin, Matthew; Shulenburger, Luke N.; Stagg, Alan K.

Abstract not provided.

McGregor, Duncan A.; Phillips, Edward G.; Love, Edward L.

Abstract not provided.

Ibanez-Granados, Daniel A.; Hansen, Glen H.; Voth, Thomas E.; Love, Edward L.; Overfelt, James R.; Roberts, Nathan V.; Mota, Alejandro M.; Robbins, Joshua R.; Aguilo Valentin, Miguel A.

Abstract not provided.

Voth, Thomas E.; Ibanez-Granados, Daniel A.; Love, Edward L.; Overfelt, James R.; Roberts, Nathan V.

Abstract not provided.

Hansen, Glen H.; Ibanez-Granados, Daniel A.; Love, Edward L.; Overfelt, James R.; Roberts, Nathan V.; Voth, Thomas E.

Abstract not provided.

Ibanez-Granados, Daniel A.; Shephard, Mark S.; Voth, Thomas E.; Love, Edward L.; Overfelt, James R.; Hansen, Glen H.

Abstract not provided.

Love, Edward L.; Voth, Thomas E.; Overfelt, James R.; Hansen, Glen H.

Abstract not provided.

Rider, William J.; Love, Edward L.; Wildey, Timothy M.

Abstract not provided.

Love, Edward L.; Robinson, Allen C.; Ridzal, Denis R.

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.

Robinson, Allen C.; Petney, Sharon P.; Drake, Richard R.; Weirs, Vincent G.; Adams, Brian M.; Vigil, Dena V.; Carpenter, John H.; Garasi, Christopher J.; Wong, Michael K.; Robbins, Joshua R.; Siefert, Christopher S.; Strack, Otto E.; Wills, Ann E.; Trucano, Timothy G.; Bochev, Pavel B.; Summers, Randall M.; Stewart, James R.; Ober, Curtis C.; Rider, William J.; Haill, Thomas A.; Lemke, Raymond W.; Cochrane, Kyle C.; Desjarlais, Michael P.; Love, Edward L.; Voth, Thomas E.; Mosso, Stewart J.; Niederhaus, John H.

Abstract not provided.

Love, Edward L.; Robinson, Allen C.

Abstract not provided.

Proposed for publication in Computers & Fluids.

Rider, William J.; Love, Edward L.; Scovazzi, Guglielmo S.

Abstract not provided.

Rider, William J.; Weirs, Vincent G.; Love, Edward L.

Abstract not provided.

Rider, William J.; Love, Edward L.; Scovazzi, Guglielmo S.

Abstract not provided.

Love, Edward L.; Rider, William J.; Scovazzi, Guglielmo S.

Abstract not provided.

Love, Edward L.; Rider, William J.; Scovazzi, Guglielmo S.

Abstract not provided.

Computer Methods in Applied Mechanics and Engineering

Shadid, John N.; Love, Edward L.; Rider, William J.

Abstract not provided.

Love, Edward L.; Scovazzi, Guglielmo S.; Rider, William J.

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.

Rider, William J.; Love, Edward L.; Voth, Thomas E.; Mosso, Stewart J.; Niederhaus, John H.; Strack, Otto E.; Robinson, Allen C.

Abstract not provided.

Love, Edward L.; Scovazzi, Guglielmo S.

Abstract not provided.

Love, Edward L.; Scovazzi, Guglielmo S.

Abstract not provided.

Weirs, Vincent G.; Lemke, Raymond W.; Robinson, Allen C.; Ober, Curtis C.; Banks, Jeffrey W.; Love, Edward L.; Scovazzi, Guglielmo S.; Shadid, John N.; Hanshaw, Heath L.

Abstract not provided.

Computer methods in applied mechanics and engineering

Scovazzi, Guglielmo S.; Love, Edward L.

Abstract not provided.

Scovazzi, Guglielmo S.; Love, Edward L.; Love, Edward L.

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.