Infrastructure for the Coupling of Dune Grids

DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

“…a fracture element coincides with the intersection of two bulk elements), they are represented in the code by a single intersection object with access to all elements ("entities") associated with the intersection ("neighbors"). The interface of the glue object is similar to that implemented in the Dune module dune-grid-glue [50] which implements an advancing front algorithm instead of an algorithm based on spatial data structures used here.…”

Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions

“…3. For the implementation we used the Dune libraries [6] together with the domain decomposition module dune-grid-glue [7].…”

Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management

“…Therefore, our time discretization of the coupled problem (1)- (3) attributes a certain number N of equidistant time steps to (1) within an interval between two time steps for (2). The coupling condition (3) is discretized implicitly, assigning N −1 of the source term S h from one time step of (2) equally to the sub time steps of (1).…”

“…The dune-grid-glue module efficiently computes all intersections between elements of T (Ω s ) and T (Ω p | Σ ). These socalled remote intersections [2], encapsulate the relationships between elements in the generating grids T (Ω s ) and T (Ω p | Σ ).…”

“…For the Dirichlet-Neumann coupling, the fluxes F are computed at quadrature points on I from the solution of (2). Communicating the fluxes, the source term S h can be computed on the surface grid.…”