Applications

Exa-MA applications are benchmarks and demonstrators that exercise the capabilities of our frameworks at scale. They range from focused mini-apps testing specific algorithms to full demonstrators combining multiple work packages.

At a Glance

23 Applications

6 ready for benchmarking

10 Mini-Apps

Focused benchmarks testing specific algorithms

7 Extended Mini-Apps

Multi-WP benchmarks with broader scope

6 Demonstrators

Full-scale application showcases

Application Status

Application Type Frameworks Status Work Packages

Discretization

Extended Mini App

Feel++, PETSc

WP1, WP3

Distance

Mini App

Feel++

WP1

Nonlinear Compressive Reduced Basis

Extended Mini App

Feel++, PETSc…​

WP2, WP1, WP3

Reduced Basis

Extended Mini App

Feel++

WP1, WP2, WP3

Test Feel++ toolboxes at scale

Demonstrator

WP1, WP3

Preconditioning systems arising from discrete fracture networks

Mini App

HPDDM, PETSc…​

WP3

Fichera corner

Extended Mini App

Freefem++, MMG/ParMMG…​

WP1, WP3

Zellij

Mini App

WP5

EKI

Mini App

PETSc, GeoS

WP4

Shape Opt FEM

Demonstrator

Freefem++

WP5

Shape Opt NN

Demonstrator

Scimba

WP5

Plasma NN

Mini App

Scimba

WP2

Hybrid numerics

Demonstrator

Scimba

WP2

thermomeca

Demonstrator

Feel++

WP1, WP3

Terrain Generation

Demonstrator

Feel++, CGAL

WP1

Mesh autorefinement

Mini App

CGAL

WP1

Constrained Delaunay Triangulation 2D

Mini App

CGAL

WP1

Conforming Constrained Delaunay Triangulation 3D

Mini App

CGAL

WP1

Impact of mixed-precision on PETSc solvers and preconditioners

Mini App

PETSc, HPDDM…​

WP3

MI300A high-order finite-element kernels and HiFiMagnet

Extended Mini App

Feel++, PETSc…​

WP1, WP3, WP7

HiFiMagnet thermo-electric parameter inversion

Extended Mini App

Feel++, PETSc/TAO…​

WP1, WP2, WP3, WP4, WP6

HiFiMagnet robust optimal operation and control

Extended Mini App

Feel++, PETSc/TAO…​

WP1, WP2, WP3, WP5, WP6

Benchmark-Ready Applications

These applications are ready for performance evaluation on HPC systems:

Application Description Frameworks Metrics

Discretization

Solve a PDE (heat,solid mech) with different discretisation methods from low to high order

Feel++, PETSc

benchmark-verification, strong-scalability…​

Distance

Compute distance to a range of entities using FMM or BVH

Feel++

analytical-solution-match, strong-scalability…​

Reduced Basis

Test reduced basis methods and empirical interpolation

Feel++

benchmark-verification, offline-cost…​

Preconditioning systems arising from discrete fracture networks

Test numerical and algorithm performance of PETSc preconditioners

HPDDM, PETSc…​

strong-scalability, weak-scalability…​

Fichera corner

Test ParMmg performance for distributed anisotropic mesh adaptation

Freefem++, MMG/ParMMG…​

strong-scalability, weak-scalability…​

Applications by Type

Demonstrators

Extended Mini Apps

Mini Apps

Applications by Framework

CGAL

Feel++

Freefem++

GeoS

  • EKI (Mini App)

HPDDM

MMG/ParMMG

MUMPS

PETSc

PETSc/TAO

PaStiX

Sage-HPC

Scimba

pytorch

Application Catalog

Conforming Constrained Delaunay Triangulation 3D

Conforming Constrained Delaunay Triangulation 3D - Demonstrate the weak and strong scalability of the conforming constrained delaunay triangulation algorithm for tetrahedral meshes and tetrahedral reme...

Constrained Delaunay Triangulation 2D

Constrained Delaunay Triangulation 2D - Demonstrate the weak and strong scalability of the constrained delaunay triangulation algorithm...

Discretization

Discretization - Solve a PDE (heat,solid mech) with different discretisation methods from low to high order...

Distance

Distance - Compute distance to a range of entities using FMM or BVH...

EKI

EKI - Demonstrate feasibility of ensemble Kalman filter based inversion of a simplified wave equation...

Fichera corner

Fichera corner - Test ParMmg performance for distributed anisotropic mesh adaptation...

HiFiMagnet robust optimal operation and control

HiFiMagnet robust optimal operation and control - Optimal-operation application: determine coil-group currents and cooling controls that reach a target magnetic field with minimum power and thermal st...

HiFiMagnet thermo-electric parameter inversion

HiFiMagnet thermo-electric parameter inversion - Inverse application: estimate nonlinear electrical-conductivity, thermal-conductivity, contact and cooling parameters from voltage-drop, temperature a...

Hybrid numerics

Hybrid numerics - Test numerical hybrid methods on high dimensional physical and parametric PDE problems...

Impact of mixed-precision on PETSc solvers and preconditioners

Impact of mixed-precision on PETSc solvers and preconditioners - Provide a benchmark framework to study the effects of mixed precision on PETSc Krylov solvers and preconditioners in terms of performance, convergence...

Mesh autorefinement

Mesh autorefinement - Test the parallel performance of triangle mesh autorefinement...

MI300A high-order finite-element kernels and HiFiMagnet

MI300A high-order finite-element kernels and HiFiMagnet - Forward-performance benchmark: solve the nonlinear thermo-electric high-field-magnet model at fixed accuracy and expose state fields, nonlinear/linear...

Nonlinear Compressive Reduced Basis

Nonlinear Compressive Reduced Basis - Test nonlinear compressive reduced basis methods...

Plasma NN

Plasma NN - Demonstrate neural nework algorithm, plasma simulation in 3D tokamak...

Preconditioning systems arising from discrete fracture networks

Preconditioning systems arising from discrete fracture networks - Test numerical and algorithm performance of PETSc preconditioners...

Reduced Basis

Reduced Basis - Test reduced basis methods and empirical interpolation...

Shape Opt FEM

Shape Opt FEM - Demonstrate new shape optimisation algorithm, volume preserving, fem formulation...

Shape Opt NN

Shape Opt NN - Demonstrate new shape optimisation algorithm, volume preserving, nn formulation...

Terrain Generation

Terrain Generation - Demonstrate the creation of a city mesh including elevation, roads, water bodies and land markers....

Test Feel++ toolboxes at scale

Test Feel++ toolboxes at scale - test heat(eye2brain,thermalbridge), elasticity(nafems LE-10), thermoelectric(hifimagnet) and fluid (fda)...

thermomeca

thermomeca - Demonstrate partitioned static linear thermoelastic coupling on a fixed reference mesh using displacement-dependent effective thermal conductivity; ve...

Zellij

Zellij - Solveur de problèmes d'optimisation continue...