Abstract
To simplify and routinize particle transport analysis in fusion devices, a novel closed-form linear inversion of the 1D convection-diffusion equation to estimate diffusion and convection profiles D ( r → ) , v ( r → ) , and source distribution s ( r → ) of a single species from measured data is derived and demonstrated on synthetic data. Formulas for profile estimates of D ( r → ) , v ( r → ) , s ( r → ) , and their uncertainties are given as a matrix expression constructed directly from the incoming density data of the transported species in space and time, as well as physics assumptions such as particle conservation and experimental geometry. The derived matrix expression can be applied to a pumped or nonpumped recycling species, or a non-recycling species that is effectively pumped by plasma-facing surfaces.
| Original language | English |
|---|---|
| Article number | 103904 |
| Journal | Physics of Plasmas |
| Volume | 32 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 1 2025 |
Funding
This work was supported by the U.S. Department of Energy, Office of Science, Office of Fusion Energy Sciences, using the DIII-D National Fusion Facility, a DOE Office of Science user facility, under Award No. DE-FC02-04ER54698 and also supported by U.S. DOE Early Career Award Nos. DE-SC0013911, DE-SC0020284, DE-AC05-06OR23100, DE-FG02-07ER54917, DE-AC05-00OR22725, and DE-AC04-94AL85000, and U.S. Department of Energy Field Work Proposal AT2020100. Notice: This manuscript has been authored by UT-Battelle, LLC, under Contract No. DE-AC05-00OR22725 with the U.S. Department of Energy (DOE). The U.S. Government retains and the publisher, by accepting the article for publication, acknowledges that the U.S. Government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for U.S. Government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan ( https://www.energy.gov/doe-public-access-plan ).