HEИндивидуална стипендия2024–2025

MoMeNTUM · Modern high order numerical Methods based on No-compromise moving Voronoi Tessellations: a Unified solver for continuum Mechanics

„Хоризонт Европа“ — Действия „Мария Склодовска-Кюри“

Период: 2024-01-01 → 2025-12-31
Финансиране от ЕС: 173 847 €
Участници: 1
Схема: HORIZON-TMA-MSCA-PF-EF

Линиите свързват координатора с партньорите.

Накратко на български

Математическите методи в MoMeNTUM позволяват симулация на течности и твърди тела чрез единен модел, например при проучване на турбулентни потоци. Това помага за създаването на по-ефективен софтуер за суперкомпютри, приложим в различни области на инженерството и науката.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Modern high order numerical Methods based on No-compromise moving Voronoi Tessellations: a Unified solver for continuum Mechanics

Computer simulations of fluids, solids, and their interactions rely on solving complex mathematical equations on powerful computers. MoMeNTUM developed advanced numerical methods for a comprehensive mathematical framework: a unified model of continuum mechanics UMCM, also known as the Godunov-Peshkov-Romenski GPR model, which describes fluids, elastic and plastic solids, and material failure within a single set of equations. While very general, this model had never been used successfully for turbulent flow simulations due to fundamental computational obstacles. The project set out to overcome these obstacles through three algorithmic innovations: moving computational meshes; automatic sub-mesh generation for robust shock capturing on general polyhedral grids; and novel basis functions to close the performance gap between flexible unstructured meshes and efficient Cartesian grids. The overarching goal was a high-performance simulation code capable of running the full unified model on modern supercomputers, applied to demanding turbulent flow benchmarks that serve as standard tests for state-of-the-art fluid dynamics solvers. The expected impact was twofold: demonstrating that a single mathematical model can deliver competitive results for turbulent flows, a domain traditionally requiring specialized solvers, and producing algorithmic tools broadly applicable across computational science and engineering.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

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 andpolyhedra), and achieving efficiency that can be compared even with that of structured Cartesiancodes. The space-time-based methods will be of high-order Arbitrary-Lagrangian-EulerianDiscontinuous Galerkin Finite Element type, with Finite Volume auxiliary subcell stabilisation. Sucha mixed formulation requires new grid generation techniques in order to be extended to movingVoronoi meshes, due to the presence of degenerate and almost-degenerate elements with short orzero-length edges. Using genuine Voronoi tessellations (i.e. nearest neighbour) is important inorder to preserve the smooth dynamic connectivity rearrangement naturally emerging from the motionof Voronoi seeds in space, which is a key element for the construction of robust schemes on movingpolyhedral grids.Efficiency will be achieved through new hybrid nodal/modal moving basis functions, defined oncell-aligned bounding boxes, that can heavily exploit tensor-type data storage and accesspatterns, usually available only in structured codes.Additionally, the schemes will be equipped with an embedded mesh generator that can synergisticallyinteract with the computational core so that the behaviour of the on-the-fly subgrid generator forthe Finite Volume subcells will be optimised, like the Voronoi grid motion, according to the localflow or stress patterns.The project is a heavily multidisciplinary effort that requires the development and implementationof new numerical solvers and new mesh generation algorithms within a single coherent softwarearchitecture, which will be packaged in an open source, massively parallel, high performance Fortrancode, in the hope that it will constitute a step forward towards the wide adoption of advancedhigh-order methods for solving real-world continuum mechanics problems.

Оригинален текст от CORDIS (на английски).

Участници

UNIVERSITAT ZU KOLN · KolnКоординаторГермания