https://daniellechloegriffin.com/publication_types/article-journal/Article-JournalHugo Blox Builder (https://hugoblox.com)en-usFri, 24 Apr 2026 00:00:00 +0000https://daniellechloegriffin.com/media/icon_hu_e379f88035b30217.pnghttps://daniellechloegriffin.com/publication_types/article-journal/https://daniellechloegriffin.com/publications/sweeping_og/Fri, 24 Apr 2026 00:00:00 +0000https://daniellechloegriffin.com/publications/sweeping_og/<p>This paper introduces a new sweeping positivity-preserving finite difference WENO method for the Euler equations. The method employs a simple correction strategy to maintain non-negativity of density and pressure while retaining high-order accuracy.</p> <p>The work builds on numerical techniques for shock-capturing and high-order finite difference approximations, extending existing positivity-preserving frameworks through a directional sweeping correction. Numerical tests in 1D and 2D validate robustness across challenging compressible flow regimes.</p>