1 citations · 1 across the 5 of their papers we have counts for
9 papers
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…
New Insights on the Stokes Paradox for Flow in Unbounded Domains
Ingeborg G. Gjerde, Ridgway Scott
Stokes flow equations, used to model creeping flow, are a commonly used simplification of the Navier--Stokes equations. The simplification is valid for flows where the inertial for…
Graphnics: Combining FEniCS and NetworkX to simulate flow in complex networks
Ingeborg G. Gjerde
Network models facilitate inexpensive simulations, but require careful handling of bifurcation conditions. We here present the graphnics library, which combines FEniCS with Network…
Resolution of d'Alembert's paradox using slip boundary conditions: The effect of the friction parameter on the drag coefficient
Ingeborg G. Gjerde, L. Ridgway Scott
d'Alembert's paradox is the contradictory observation that for incompressible and inviscid (potential) fluid flow, there is no drag force experienced by a body moving with constant…
Geometrically reduced modelling of pulsatile flow in perivascular networks
Cécile Daversin-Catty, Ingeborg G. Gjerde, Marie E. Rognes
Flow of cerebrospinal fluid in perivascular spaces is a key mechanism underlying brain transport and clearance. In this paper, we present a mathematical and numerical formalism for…
Coupled Flow and Mechanics in a 3D Porous Media with Line Sources
Nadia S. Taki, Ingeborg G. Gjerde
In this paper, we consider the numerical approximation of the quasi-static, linear Biot model in a 3D domain when the right-hand side of the mass balance equation is concentrat…
A Mixed Approach to the Poisson Problem with Line Sources
Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten
In this work we consider the primal mixed variational formulation of the Poisson equation with a line source. The analysis and approximation of this problem is non-standard as the…
A Singularity Removal Method for Coupled 1D-3D Flow Models
Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten
In reservoir simulations, the radius of a well is inevitably going to be small compared to the horizontal length scale of the reservoir. For this reason, wells are typically modell…
Splitting method for elliptic equations with line sources
Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten +1
In this paper, we study the mathematical structure and numerical approximation of elliptic problems posed in a (3D) domain when the right-hand side is a (1D) line source . T…