3 papers
math.NA2026
Spectral Analysis and Redistribution Thresholds for Cut-Cell Finite-Volume Methods
Justo E. Karell
In finite-volume methods on embedded-boundary meshes, arbitrarily small cut cells can produce coefficients that scale as O(alpha^{-1}) when the time step is chosen for the regular…
math.NA2026
Update-Magnitude State Redistribution (UM-SRD): A Shut-off Extension of Weighted SRD for Cut-Cell Methods
Justo E. Karell
Berger & Giuliani (2024) developed a provably stable weighted state redistribution (SRD) algorithm for cut-cell meshes. A key limitation of their method is that, although flux redi…
physics.plasm-ph2025
The Chapman-Enskog Divergence Problem in Plasma Transport: Structural Limitations and a Practical Regularization Approach
Justo Karell
We calculate transport coefficients from the Chapman--Enskog expansion with BGK collision operators, obtaining exactly , and show that maximum entropy closure…