William J. Rider

TL;DR: This study considers a variety of sensitivity analysis methods, including different sampling strategies, different meta-models, and different ways of evaluating variance-based sensitivity indices, and considers the 1-D Riemann problem.

TL;DR: In this article, a variational multiscale analysis for Lagrangian shock hydrodynamics is presented, where numerical instabilities are controlled by a stabilizing operator derived using the paradigm of the variational multi-scale analysis.

TL;DR: In this paper, the design of a modified equation and the construction of a corresponding numerical algorithm are presented for use in an implicit large eddy simulation, where the principle of design is based on ensuring a form for the energy dissipation that is not significantly dissipative on the resolved scales of the numerical mesh, but is strongly dissipative when the solution is unresolved and so provides strong nonlinear stability in the simulation.

TL;DR: In this paper, an approximate Riemann solver is developed using a linear approximation for the shock velocity in particle velocity, and bounds are established for the values of the linear coefficient while assuring a physical entropy satisfying solution.

TL;DR: Several different multi-material closure model algorithms for Lagrangian hydrodynamics under the assumption of a single velocity for 1D, multiple-material cells are discussed in this paper.