Summary
MoMeNTUM aims at developing a next-generation computational code for Hyperbolic balance laws in
fluid flow and solid mechanics, based on versatile unstructured Voronoi grids (polygons and
polyhedra), and achieving efficiency that can be compared even with that of structured Cartesian
codes. The space-time-based methods will be of high-order Arbitrary-Lagrangian-Eulerian
Discontinuous Galerkin Finite Element type, with Finite Volume auxiliary subcell stabilisation. Such
a mixed formulation requires new grid generation techniques in order to be extended to moving
Voronoi meshes, due to the presence of degenerate and almost-degenerate elements with short or
zero-length edges. Using genuine Voronoi tessellations (i.e. nearest neighbour) is important in
order to preserve the smooth dynamic connectivity rearrangement naturally emerging from the motion
of Voronoi seeds in space, which is a key element for the construction of robust schemes on moving
polyhedral grids.
Efficiency will be achieved through new hybrid nodal/modal moving basis functions, defined on
cell-aligned bounding boxes, that can heavily exploit tensor-type data storage and access
patterns, usually available only in structured codes.
Additionally, the schemes will be equipped with an embedded mesh generator that can synergistically
interact with the computational core so that the behaviour of the on-the-fly subgrid generator for
the Finite Volume subcells will be optimised, like the Voronoi grid motion, according to the local
flow or stress patterns.
The project is a heavily multidisciplinary effort that requires the development and implementation
of new numerical solvers and new mesh generation algorithms within a single coherent software
architecture, which will be packaged in an open source, massively parallel, high performance Fortran
code, in the hope that it will constitute a step forward towards the wide adoption of advanced
high-order methods for solving real-world continuum mechanics problems.
fluid flow and solid mechanics, based on versatile unstructured Voronoi grids (polygons and
polyhedra), and achieving efficiency that can be compared even with that of structured Cartesian
codes. The space-time-based methods will be of high-order Arbitrary-Lagrangian-Eulerian
Discontinuous Galerkin Finite Element type, with Finite Volume auxiliary subcell stabilisation. Such
a mixed formulation requires new grid generation techniques in order to be extended to moving
Voronoi meshes, due to the presence of degenerate and almost-degenerate elements with short or
zero-length edges. Using genuine Voronoi tessellations (i.e. nearest neighbour) is important in
order to preserve the smooth dynamic connectivity rearrangement naturally emerging from the motion
of Voronoi seeds in space, which is a key element for the construction of robust schemes on moving
polyhedral grids.
Efficiency will be achieved through new hybrid nodal/modal moving basis functions, defined on
cell-aligned bounding boxes, that can heavily exploit tensor-type data storage and access
patterns, usually available only in structured codes.
Additionally, the schemes will be equipped with an embedded mesh generator that can synergistically
interact with the computational core so that the behaviour of the on-the-fly subgrid generator for
the Finite Volume subcells will be optimised, like the Voronoi grid motion, according to the local
flow or stress patterns.
The project is a heavily multidisciplinary effort that requires the development and implementation
of new numerical solvers and new mesh generation algorithms within a single coherent software
architecture, which will be packaged in an open source, massively parallel, high performance Fortran
code, in the hope that it will constitute a step forward towards the wide adoption of advanced
high-order methods for solving real-world continuum mechanics problems.
Unfold all
/
Fold all
More information & hyperlinks
| Web resources: | https://cordis.europa.eu/project/id/101109532 |
| Start date: | 01-01-2024 |
| End date: | 31-12-2025 |
| Total budget - Public funding: | - 173 847,00 Euro |
Cordis data
Original description
MoMeNTUM aims at developing a next-generation computational code for Hyperbolic balance laws influid flow and solid mechanics, based on versatile unstructured Voronoi grids (polygons and
polyhedra), and achieving efficiency that can be compared even with that of structured Cartesian
codes. The space-time-based methods will be of high-order Arbitrary-Lagrangian-Eulerian
Discontinuous Galerkin Finite Element type, with Finite Volume auxiliary subcell stabilisation. Such
a mixed formulation requires new grid generation techniques in order to be extended to moving
Voronoi meshes, due to the presence of degenerate and almost-degenerate elements with short or
zero-length edges. Using genuine Voronoi tessellations (i.e. nearest neighbour) is important in
order to preserve the smooth dynamic connectivity rearrangement naturally emerging from the motion
of Voronoi seeds in space, which is a key element for the construction of robust schemes on moving
polyhedral grids.
Efficiency will be achieved through new hybrid nodal/modal moving basis functions, defined on
cell-aligned bounding boxes, that can heavily exploit tensor-type data storage and access
patterns, usually available only in structured codes.
Additionally, the schemes will be equipped with an embedded mesh generator that can synergistically
interact with the computational core so that the behaviour of the on-the-fly subgrid generator for
the Finite Volume subcells will be optimised, like the Voronoi grid motion, according to the local
flow or stress patterns.
The project is a heavily multidisciplinary effort that requires the development and implementation
of new numerical solvers and new mesh generation algorithms within a single coherent software
architecture, which will be packaged in an open source, massively parallel, high performance Fortran
code, in the hope that it will constitute a step forward towards the wide adoption of advanced
high-order methods for solving real-world continuum mechanics problems.
Status
SIGNEDCall topic
HORIZON-MSCA-2022-PF-01-01Update Date
31-07-2023
Images
No images available.
Geographical location(s)
