Capture boundaries, signed channels and conservative transport controls for NOVA
Year: 2026
Type: preprint
Abstract: We present mathematical and numerical controls from the NOVA source series, focusing on an inverse-capture boundary, feedback linearization, signed transport accounting and conservative finite-volume evolution. The capture polynomial ar²+(1−3a)r−4 has exactly one root in (3,4) for a>0; an explicit native ISA interval rule checks this result with its declared analytic assumptions. A signed-channel refinement resolves twelve mirrored-spin inconsistencies that ordinary bookkeeping balances missed. Independent numerical-flux implementations, sharing a physical-flux model, are compared on smooth contact, advected Alfvén and outflow shock fixtures at 64,128 and256 cells. Eighteen fresh evolutions reproduce the retained final arrays. All42 final outflow component totals agree with their accumulated boundary fluxes, and the largest all-step balance residual is9.4794×10⁻¹⁵. Omitting or reversing the boundary contribution fails in all six shock cases. Five exact prescribed-ring stress controls and125 capture-root comparisons accompany the results. The reviewer package includes executable numerical reference functions, exported data and separately checked native statements/certificates. This preprint releases the frozen, reviewed methods edition with its scoped claims, retained native ISA statements/certificates and portable numerical replay. The archive retains its original reviewer-edition provenance. ISA/Studio implementation is excluded; NOVA includes six declared numerical reference functions. Copyright (C) 2026 David Glowalla; restricted files, no additional reuse grant.
Author: Glowalla, David
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225426327