5 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…
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…
Particle Density Estimation with Grid-Projected Adaptive Kernels
Guillem Sole-Mari, Diogo Bolster, Daniel Fernàndez-Garcia +1
The reconstruction of smooth density fields from scattered data points is a procedure that has multiple applications in a variety of disciplines, including Lagrangian (particle-bas…
On the separate treatment of mixing and spreading by the reactive-particle-tracking algorithm: An example of accurate upscaling of reactive Poiseuille flow
David A. Benson, Diogo Bolster, Stephen Pankavich
The Eulerian advection-dispersion-reaction equation (ADRE) suffers the well-known scale-effect of reduced apparent reaction rates between chemically dissimilar fluids at larger sca…