3 papers
math.NA2026
Long-time &-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations
Isabel Barrio Sanchez, Wenlong Pei, Catalin Trenchea
In this report, we study the long-time stability of the family of one-leg DLN methods for the two-dimensional incompressible Navier-Stokes equations. The family of DLN methods (wit…
math.NA2026
Long-Time H1-Stability of the Cauchy One-Leg Theta-Method for the Navier-Stokes Equations
Isabel Barrio Sanchez, Catalin Trenchea, Wenlong Pei
In this paper we study the long-time stability of the Cauchy one-leg theta-methods for the two-dimensional NavierStokes equations. We establish the uniform dissipativity in H^1, in…
math.NA2023
A New Re-redistribution Scheme for Weighted State Redistribution with Adaptive Mesh Refinement
Isabel Barrio Sanchez, Ann S. Almgren, John B. Bell +2
State redistribution (SRD) is a recently developed technique for stabilizing cut cells that result from finite-volume embedded boundary methods. SRD has been successfully applied t…