# On the accuracy of simulating mixing by random-walk particle-based mass-transfer algorithms

@article{Schmidt2018OnTA, title={On the accuracy of simulating mixing by random-walk particle-based mass-transfer algorithms}, author={Michael J. Schmidt and Stephen D. Pankavich and David A. Benson}, journal={Advances in Water Resources}, year={2018} }

## 17 Citations

### Numerical equivalence between SPH and probabilistic mass transfer methods for Lagrangian simulation of dispersion

- PhysicsAdvances in Water Resources
- 2019

### A Computational Information Criterion for Particle-Tracking with Sparse or Noisy Data

- Computer ScienceArXiv
- 2021

### Parallelized Domain Decomposition for Multi-Dimensional Lagrangian Random Walk, Mass-Transfer Particle Tracking Schemes

- Computer ScienceSSRN Electronic Journal
- 2022

A multi-dimensional, parallelized domain decomposition (DDC) strategy for mass-transfer particle tracking methods in which particles exchange mass dynamically is developed and it is shown that this can be efficiently parallelized by employing large numbers of CPU cores to accelerate run times.

### Optimal Time Step Length for Lagrangian Interacting-Particle Simulations of Diffusive Mixing

- Computer Science, PhysicsTransport in Porous Media
- 2022

This work formalizes criteria for determining when this transition takes place, based on the properties of a particular system, and uses this criteria to choose the optimal time step length for mass-transfer particle tracking simulations.

### A Lagrangian method for reactive transport with solid/aqueous chemical phase interaction

- PhysicsJ. Comput. Phys. X
- 2019

### Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media

- PhysicsAdvances in Water Resources
- 2022

### Entropy: (1) The former trouble with particle-tracking simulation, and (2) A measure of computational information penalty

- Computer ScienceAdvances in Water Resources
- 2020

### Aging and mixing as pseudo-chemical-reactions between, and on, particles: Perspectives on particle interaction and multi-modal ages in hillslopes and streams

- PhysicsAdvances in Water Resources
- 2019

### Entropy: The former trouble with particles (including a new numerical model computational penalty for the Akaike information criterion)

- Computer Science
- 2019

The MTPT method can use a particle-collision based kernel or an SPH-derived adaptive kernel, which is more representative of a locally well-mixed system (i.e., one in which the dispersion tensor equally represents mixing and solute spreading), while the former better represents the separate processes of mixing versus spreading.

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