PreprintCC BY 4.0arXiv
Delta Redistribution: a variation of State Redistribution for steady-state embedded boundary computations
Abstract
We present an algorithm for handling the small cell problem in Cartesian cut cell grids. The advantage of this variation is that it preserves the base scheme's steady state exactly. We show several computational examples using finite volume schemes in two space dimensions.
Related
- Pointwise decay of steady Navier--Stokes flows with Navier-slip boundary condition in two-dimensional channels
- The Costa surface with a free-boundary hole: an embedded exterior free-boundary minimal surface with three ends
- Total variation bounds for Schrödinger--Föllmer sampling of boundary-vanishing densities
- Spectral computations on lamplighter groups and Diestel-Leader graphs
- Computations in weight 3 of higher Bloch groups
BibTeX
@misc{berger2026delta,
title = {{Delta Redistribution: a variation of State Redistribution for steady-state embedded boundary computations}},
author = {Marsha Berger and Andrew Giuliani},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06459},
eprint = {2610.06459},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06459},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Delta Redistribution: a variation of State Redistribution for steady-state embedded boundary computations
AU - Marsha Berger
AU - Andrew Giuliani
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06459
UR - https://arxiv.org/abs/2610.06459
AB - We present an algorithm for handling the small cell problem in Cartesian cut cell grids. The advantage of this variation is that it preserves the base scheme's steady state exactly. We show several computational examples using finite volume schemes in two space dimensions.
ER -