most citedFace-based Volume-of-Fluid interface positioning in arbitrary polyhedra

16 citations · 29 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2021★ 2 cited

Second-order accurate normal reconstruction from volume fractions on unstructured meshes with arbitrary polyhedral cells

Johannes Kromer, Fabio Leotta, Dieter Bothe

This paper introduces a novel method for the efficient second-order accurate computation of normal fields from volume fractions on unstructured polyhedral meshes. Locally, i.e. in…

math.NA2021

Third-order accurate initialization of VOF volume fractions on unstructured meshes with arbitrary polyhedral cells

Johannes Kromer, Dieter Bothe

This paper introduces a novel method for the efficient and accurate computation of volume fractions on unstructured polyhedral meshes, where the phase boundary is an orientable hyp…

math.NA2021★ 9 cited

Efficient sequential PLIC interface positioning for enhanced performance of the three-phase VoF Method

Johannes Kromer, Johanna Potyka, Kathrin Schulte +1

This paper presents an efficient algorithm for the sequential positioning, also called nested dissection, of two planes in an arbitrary polyhedron. Two planar interfaces are positi…

cs.CG2021★ 16 cited

Face-based Volume-of-Fluid interface positioning in arbitrary polyhedra

Johannes Kromer, Dieter Bothe

We introduce a fast and robust algorithm for finding a plane with given normal , which truncates an arbitrary polyhedron such that the remaining sub-po…

physics.flu-dyn2018★ 2 cited

Highly accurate numerical computation of implicitly defined volumes using the Laplace-Beltrami operator

Johannes Kromer, Dieter Bothe

This paper introduces a novel method for the efficient and accurate computation of the volume of a domain whose boundary is given by an orientable hypersurface which is implicitly…