K3 CFD Platform: patent-backed fluid simulation
A pay-per-use computational fluid dynamics service built on a patent-pending method, with no idle cost and its core claims documented in its own architecture.
Era 6, the AI-agent-native practice · Patent-pending, active build
The situation
Computational fluid dynamics (CFD, the simulation method used to model how fluids and gases move and where they become unstable) is normally run on standing infrastructure that costs money whether or not anyone is using it. Smaller research teams and independent engineers often cannot justify that fixed cost just to run a simulation occasionally. We built a service that removes the fixed cost, so the simulation is there when it is needed and bills nothing when it is not.
What we built
The K3 CFD Platform is a pay-per-use simulation service. There is no idle cost: the database, compute, and API layers only bill when a simulation actually runs, scaling from a small job that costs a few cents up through a large-grid job that runs on dedicated high-memory instances. The platform is built around a method the underlying patent application covers, using what the project calls a Klein bottle (K3) topology approach (a mathematical technique for detecting and preventing the kind of numerical blow-up that makes a fluid simulation fail partway through).
Verified results
- 63/939,013US Provisional Patent, priority date 2025-12-11
- 11equation systems covered, including 3D Navier-Stokes and 3D Euler
- 16 solversroughly 150 operators across 12 modules
The platform’s core technical claims are documented directly in its own architecture, not asserted after the fact: 11 distinct equation systems supported (including 3D Navier-Stokes and 3D Euler), roughly 150 operators organized across 12 modules, and 16 solvers, spanning problem sizes from a 32-cubed grid that runs in about 2 seconds up to a 2048-cubed grid that requires dedicated high-memory hardware. The underlying method has been filed as US Provisional Patent 63/939,013, with a priority date of December 11, 2025. The workspace has shipped through its shared-types and core library phases with test coverage in place, with infrastructure and solver deployment phases in progress.
What this means for your business
The same discipline that governs how we build business-automation systems (explicit phases, test coverage before claims, a documented status of what is done versus in progress) also produced a patent-pending scientific-computing platform. If your problem needs serious numerical depth rather than a business workflow, that same engineering rigor carries over.