Understand the structure
MAC geometry, projection, transport, interface representation, precision and implementation contracts.
Start with the grid →Puma / RESEARCH + TEACHING EDITION
From discrete flow
to waves and contact.
A fluid research book with exact mathematical contracts, computed references for geometry, coupling, wall work, transfer, arithmetic, allocation and error assessment, plus one bounded Rust timestep and a connected native wall/force progression.
Separate the physics
Moving meshes, force work, liquid density, tensor viscosity, wetting energy, slip and capillarity.
Read the new chapters →Inspect each claim
Inspect historical and current source-bound theorems, including planar clipping and derived finite-strain work, beside numerical references and remaining research gaps.
Open proofs and evidence →Keep a reading copy
Illustrated PDF · Markdown + figures (ZIP) · Markdown text · Shared reference data
Follow a computed 3D pulse
Run the bounded 3D tracer experiment. Orbit the actual volume, compare accepted states and inspect its numerical limits.
Publish one accepted state
Run a fixed-box Rust timestep in the browser. Compare the exact four-edge circulation, then test rejection before commit. A compiled solver packet is required.
From finite wall friction to forced no-slip
Follow the three recorded native labs · Inspect remaining requirements and the next geometry contract
Pressure and reduced wall shear
Inspect native field responses · Bounded operator contract
One static obstacle geometry
Inspect native geometry controls · Shared volumes, openings, connectivity and collision source
From strain rows to resisting force
Compute strain and dissipation interactively · Read the specimen and exact algebra. This bounded laboratory recomputes finite rows for selected face velocities; it advances no fluid.
Conservative compressible flow
Follow state, waves, fluxes and validation · Explore computed Euler fields in 3D · Implementation scope and coverage audit