126 citations · 147 across the 4 of their papers we have counts for
5 papers
Physics-informed neural networks for transformed geometries and manifolds
Samuel Burbulla
Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel…
Flow in Porous Media with Fractures of Varying Aperture
Samuel Burbulla, Maximilian Hörl, Christian Rohde
We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures an…
A Finite-Volume Moving-Mesh Method for Two-phase Flow in Fracturing Porous Media
Samuel Burbulla, Christian Rohde
Flow in fractured porous media is modeled frequently by discrete fracture-matrix approaches where fractures are treated as dimensionally reduced manifolds. Generalizing earlier wor…
Discontinuous Galerkin method for incompressible two-phase flows
Janick Thomas Gerstenberger, Samuel Burbulla, Dietmar Kröner
In this contribution we present a local discontinuous Galerkin (LDG) pressure-correction scheme for the incompressible Navier-Stokes equations. The scheme does not need penalty par…
Verification benchmarks for single-phase flow in three-dimensional fractured porous media
Inga Berre, Wietse M. Boon, Bernd Flemisch +23
Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the…