4 citations · 4 across the 8 of their papers we have counts for
10 papers
A Mathematical Primer on Water Ice
L. Ridgway Scott
Water adopts many different crystal structures in its solid form. These provide insight into potential structures of water even in its liquid phase, and they can be used to calibra…
A local Fortin projection for the Scott-Vogelius elements on general meshes
Franziska Eickmann, Johnny Guzmán, Michael Neilan +2
We construct a local Fortin projection for the Scott-Vogelius finite element pair for polynomial degree on general shape-regular triangulations in two dimensions. In part…
Kinetic energy instability of pipe flow in finite domains
Chiara Giraudo, Ingeborg G. Gjerde, Miroslav Kuchta +1
The instability of pipe flow has been a subject of extensive research, yet a significant gap remains between experimental observations and theoretical predictions. This study revis…
Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions
Franziska Eickmann, L. Ridgway Scott, Tabea Tscherpel
We present quasi-optimal a priori error estimates for general mixed finite element methods to approximate solutions of the Stokes problem subject to inhomogeneous Dirichlet boundar…
Benchmark stress tests for flow past a cylinder at higher Reynolds numbers using EMAC
Henry von Wahl, Leo G. Rebholz, L. Ridgway Scott
We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder at Reynolds numbers 500 and 1000, where the solution is observed to be periodic when the pr…
Chaotic dynamics of two-dimensional flows around a cylinder
L. Ridgway Scott, Rebecca Durst
We study flow around a cylinder from a dynamics perspective, using drag and lift as indicators. We observe that the mean drag coefficient bifurcates from the steady case when the K…
Verification and Validation of Cylinder Drag: Pressure and Stress Approximations on Curved Boundaries
Ingeborg G. Gjerde, L. Ridgway Scott
We study a technique for verification of stress and pressure computations on boundaries in flow simulations. We utilize existing experiments to provide validation of the simulation…
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated
Todd Dupont, Johnny Guzman, Ridgway Scott
We study two techniques for correcting the geometrical error associated with domain approximation by a polygon. The first was introduced some time ago \cite{bramble1972projection}…
Cubic Lagrange elements satisfying exact incompressibility
Johnny Guzman, Ridgway Scott
We prove that an analog of the Scott-Vogelius finite elements are inf-sup stable on certain nondegenerate meshes for piecewise cubic velocity fields. We also characterize the diver…
The Scott-Vogelius finite elements revisited
Johnny Guzman, Ridgway Scott
We prove that the Scott-Vogelius finite elements are inf-sup stable on shape-regular meshes for piecewise quartic velocity fields and higher ().