42 citations · 221 across the 10 of their papers we have counts for
10 papers
Parallelized Domain Decomposition for Multi-Dimensional Lagrangian Random Walk, Mass-Transfer Particle Tracking Schemes
Lucas Schauer, Michael J. Schmidt, Nicholas B. Engdahl +3
We develop a multi-dimensional, parallelized domain decomposition strategy (DDC) for mass-transfer particle tracking (MTPT) methods. These methods are a type of Lagrangian algorith…
A Computational Information Criterion for Particle-Tracking with Sparse or Noisy Data
Nhat Thanh Tran, David A. Benson, Michael J. Schmidt +1
Traditional probabilistic methods for the simulation of advection-diffusion equations (ADEs) often overlook the entropic contribution of the discretization, e.g., the number of par…
Nonparametric, data-based kernel interpolation for particle-tracking simulations and kernel density estimation
David A Benson, Diogo Bolster, Stephen Pankavich +1
Traditional interpolation techniques for particle tracking include binning and convolutional formulas that use pre-determined (i.e., closed-form, parameteric) kernels. In many inst…
A Mass-transfer Particle-tracking Method for Simulating Transport with Discontinuous Diffusion Coefficients
Michael J. Schmidt, Nicholas B. Engdahl, Stephen D. Pankavich +1
The problem of a spatially discontinuous diffusion coefficient () is one that may be encountered in hydrogeologic systems due to natural geological features or as…
Reactive Particle-tracking Solutions to a Benchmark Problem on Heavy Metal Cycling in Lake Sediments
Michael J. Schmidt, Stephen D. Pankavich, Alexis Navarre-Sitchler +3
Geochemical systems are known to exhibit highly variable spatiotemporal behavior. This may be observed both in non-smooth concentration curves in space for a single sampling time a…
Numerical Equivalence Between SPH and Probabilistic Mass Transfer Methods for Lagrangian Simulation of Dispersion
Guillem Sole-Mari, Michael J. Schmidt, Stephen D. Pankavich +1
Several Lagrangian methodologies have been proposed in recent years to simulate advection-dispersion of solutes in fluids as a mass exchange between numerical particles carrying th…