5 papers
Parameter-robust Preconditioners for the Stokes-Darcy Coupled Problem without Fractional Operators
Wietse M. Boon, Xiaozhe Hu, Xue Wang
We consider the Stokes-Darcy coupled problem, which models the interaction between free-flow and porous medium flow. By enforcing the normal flux continuity interface condition dir…
H(curl)-based approximation of the Stokes problem with slip boundary conditions
Wietse M. Boon, Ralf Hiptmair, Wouter Tonnon +1
Reformulating the incompressible Stokes equations with the velocity sought in H(curl) has recently emerged as a promising approach for the design of helicity-preserving schemes in…
Multipoint stress mixed finite element methods for the linear Cosserat equations
Wietse M. Boon, Alessio Fumagalli, Jan M. Nordbotten +1
We propose mixed finite element methods for Cosserat materials that use suitable quadrature rules to eliminate the Cauchy and coupled stress variables locally. The reduced system c…
Solving Biot poroelasticity by coupling OPM Flow with the two-point stress approximation finite volume method
Wietse M. Boon, Sarah Gasda, Tor Harald Sandve +1
Finite volume methods are prevalent in reservoir simulation due to their mass conservation properties and their ability to handle complex grids. However, a simple and consistent fi…
H(curl)-based approximation of the Stokes problem with weakly enforced no-slip boundary conditions
Wietse M. Boon, Wouter Tonnon, Enrico Zampa
In this work, we show how to impose no-slip boundary conditions for an H(curl)-based formulation for incompressible Stokes flow, which is used in structure-preserving discretizatio…