Shock–Bubble Interaction
CMF
GPU RUN
multiphase CFD · velocity field
actual solver output · rendered from NumericalAI GPU runs
€0
License fees
No annual seats
0
HPC setup time
Start simulating in minutes
3
Physics platforms
Fluids · EM · Structures
Three Solvers, Three Dedicated Platforms
Each solver runs on its own platform with solver-specific examples and launch templates. One account and shared compute credits work across CMF, CEM, and SRS.
CMF
Multiphase/Multi-Fluid Compression
GPU-native compressible CFD for multiphase flows, shock dynamics, cavitation, acoustics, magnetohydrodynamics, and chemically reacting flows in 1D, 2D, and 3D.
Run 130+ validated examples across 19 physics categories with single-click
AI Copilot to help generates, validates, and debug case files from plain English
Immersed boundary method with STL geometry import
Sub-grid bubble dynamics and phase change models
- Shock–bubble interaction
- Cavitation
- MHD
- Acoustics
- Reacting flows
- Immersed boundaries
Aerospace · Biomedical · Marine · Energy · Automotive
CEM
3D Finite Element Electromagnetics
Palace-powered full-wave 3D electromagnetics on cloud GPUs — eigenmode, frequency- and time-domain analysis for resonators, S-parameters, antennas, signal integrity, and quantum hardware.
19 ready-to-run Palace launch templates across 7 physics categories
Eigenmode, driven frequency-domain, and electrostatic analysis
Waveguides, CPW interconnects, and antenna radiation patterns
Superconducting qubits, transmons, and read-out resonators
- Eigenmode & resonators
- S-parameters
- Antennas & radiation
- Quantum hardware
Quantum Computing · RF & Microwave · Telecom · Aerospace & Defense · Semiconductors
SRS
Scale-Resolving Turbulence
Cloud GPU scale-resolving CFD powered by the high-order PyFR engine — LES, DNS, and ILES on unstructured mixed-element meshes for turbulent, compressible, and unsteady flows in 2D and 3D.
Ready-to-run PyFR launch templates across 7 physics categories
High-order flux reconstruction on unstructured meshes
External aerodynamics, shock capturing, and wall-bounded flows
AI Copilot for PyFR case setup and preflight validation
- External aerodynamics
- Shock capturing
- LES & transition
- Vortex dynamics
Aerospace · Automotive · Energy · Marine · Tire & Wheel
Industries We Serve
From aerospace shock dynamics to antenna design and turbulent flow simulation — our platforms power engineering innovation across sectors.
Manufacturing
Aerospace
Automotive
Biomedical
Marine
Energy
Oil & Gas
Electronics
Construction
Consumer Products
Shipbuilding
Engineering Services
Featured Simulations & Blogs
Real simulation results from across the three platforms — with runtimes, physics write-ups, and ready-to-run case files. Each opens on its origin platform.
CMFHigh-Fidelity 3D Multiphase Acoustics
Acoustic wave propagation through dense bubble clouds using hybrid Eulerian–Lagrangian methods. Relevant for sonar, medical ultrasound, and underwater noise mitigation.
~4.2 hours on A100
Read on CMF
CMFShock–Water Cavity Interaction
Axisymmetric simulation capturing high-speed shock wave interaction with water cavities using compressible multi-fluid methods.
~2.8 hours on A100
Read on CMF
CMF3D Turbulence Transition (Taylor–Green)
DNS of turbulence transition at Re=1600. High-order 256³ simulation capturing the energy cascade from organized vortices to fully developed turbulence.
~18 min on A100
Read on CMF
CMFSupersonic Flow Around Complex Geometry
Supersonic wedge flow (M≈1.5) with immersed boundary method. STL-based geometry handling with shock capturing for aerospace applications.
~58 s on A100
Read on CMF
CMFShock–Bubble Interaction
Richtmyer–Meshkov instability simulation showing shock interaction with a helium bubble — vortex formation and interfacial mixing dynamics.
~28 min on A100
Read on CMF
CMFGresho Vortex Solver Validation
Classic benchmark demonstrating solver accuracy and stability — vortex structure preserved over 100+ rotations with negligible numerical dissipation.
~18 min on A100
Read on CMF
CEMHalf-Wave Dipole Antenna
Full-wave frequency-domain analysis of a driven dipole in free space, recovering S-parameters, near-field energy, and radiation behavior.
~39 s on NVIDIA GPU
Read on CEM Platform
CEMSuperconducting Qubit Grid Eigenmodes
Eigenmode analysis of a 12-qubit QPU on anisotropic sapphire, with Josephson junctions modeled as lumped LC ports and solved on cloud GPUs.
~10 min on NVIDIA GPU
Read on CEM Platform
CEMCoplanar Waveguide S-Parameters
Four-port CPW on anisotropic sapphire, comparing wave vs lumped ports and an adaptive fast-frequency sweep against a uniform grid.
~300 freq points on NVIDIA GPU
Read on CEM Platform
CEMCylindrical Cavity Eigenmodes
Resonant modes and quality factors of a dielectric cavity — solved with closed PEC walls and with a Floquet periodic boundary.
~24 s on NVIDIA GPU
Read on CEM Platform
CEMRectangular Waveguide (WR-90)
Driven X-band transmission through a WR-90 waveguide with numeric wave ports, recovering the clean TE₁₀ mode and its S-parameters.
~10 s on NVIDIA GPU
Read on CEM Platform
Looking for more? Each platform hosts its full library of examples and business cases.
Why NumericalAI?
One shared foundation across all three platforms: GPU-native solvers, AI-assisted workflows, and transparent usage-based pricing.
GPU-Native Solvers
Built from the ground up for NVIDIA A100/H100 — not retrofitted CPU code. 10–100× faster than legacy tools.
AI Copilot
Describe your problem in plain English and get validated, ready-to-run simulation case files back.
Zero Setup
No hardware, no HPC procurement, no installation. Sign up and run your first simulation in minutes.
Pay Only for Compute
No annual licenses or seats. One-time credit packs starting at €1 — scale up only when you need to.
Enterprise-Grade
Secure infrastructure, real-time monitoring, unlimited storage, and 99.9% uptime across all platforms.
Validated Physics
Hundreds of published benchmark validations across fluids, electromagnetics, and structures.
NumericalAI vs Traditional Tools
NumericalAI
Traditional Tools
GPU acceleration
Native A100/H100
CPU-only or limited
Pricing
Pay-as-you-go, from €1
€50,000+ annual licenses
Setup time
Minutes, in the browser
Weeks of HPC procurement
AI assistance
Built-in Copilot
None or limited
Storage
Unlimited, all plans
Metered, extra cost
Executive Briefs
Sector-specific executive briefs covering cost benchmarks, ROI projections, relevant physics templates, and a 90-day adoption roadmap — prepared for C-suite and engineering leadership review.
Same-day or few-day simulation turnarounds
Eliminate meshing and HPC procurement bottlenecks
$10M+ conservative annual savings per programme
10–100× faster than CPU-based legacy tools
Available per platform
CMF
Multiphase/Multi-Fluid Compression
CEM
3D Finite Element Electromagnetics
SRS
Scale-Resolving Turbulence
Each brief is a confidential PDF prepared for executive review.
Frequently Asked Questions
Ready to Accelerate Your Product Development?
Pick the platform that matches your physics and run your first GPU-accelerated simulation today — one account, shared credits, starting at €1.