3 papers
physics.flu-dyn2025
Characteristic Bending in Incompressible Flows
Matthew Blomquist, Stéphane Gaudreault, Maxime Theillard
We present the Characteristic Bending (CB) method, a general framework for advecting quantities under incompressible velocity fields. The method builds on standard semi-Lagrangian…
math.NA2025
Sharp Collocated Projection Method for Immiscible Two-Phase Flows
Adam L. Binswanger, Matthew Blomquist, Scott R. West +2
We present a sharp collocated projection method for solving the immiscible, two-phase Navier-Stokes equations in two- and three-dimensions. Our method is built using non-graded ada…
math.NA2024
Least SQuares Discretizations (LSQD): a robust and versatile meshless paradigm for solving elliptic PDEs
Anna Kucherova, Gbocho M. Terasaki, Selma Strango +1
Searching for numerical methods that combine facility and efficiency, while remaining accurate and versatile, is critical. Often, irregular geometries challenge traditional methods…