USE CASES

Whole systems, modelled end to end.

Deep dives into complete engineering systems built on DjiniousLab — every subsystem, simulation, and validation gate on one living digital replica.

The full Djinborn T4 quadcopter on the DjiniousLab canvas — battery, four thrusters, hub body, arms, force injection, gyroscopic coupling, sensors, and the cascaded control stack wired as one runnable composition

Djinborn T4 quadcopter

A 450-class survey drone as one multibody composition — airframe, propulsion, sensors, and a cascaded autopilot flying a closed-loop 6-DoF mission.

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The UR5 6-axis robotic arm rendered in 3D at a representative mid-reach pose, showing all six revolute joints along the DH kinematic chain

UR5 6-axis manipulator

A spatial 6-DoF UR5 arm as one multibody model — closed-form inverse kinematics driving a Cartesian end-effector path through per-joint PD control with gravity feedforward.

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An animated mission map of three UAVs flying a LiDAR survey of a 500-metre square near the Al-Batinah coast of Oman, with their flight paths and a mobile base marked over an OpenStreetMap basemap

Al-Batinah UAV LiDAR survey

Plan and optimise a LiDAR drone-fleet survey of a 500 × 500 m site in Oman — tune the mission to your fleet, drone and sensor specs, then drive an optimal mission against a simulated UAV fleet on an animated map.

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A 4-cell balancing module on the DjiniousLab canvas — four equivalent-circuit cells starting at different states of charge, wired through an active charge-shuttling balancer into per-cell state-of-charge scopes

EV battery pack

An electric-vehicle battery pack as one multi-domain model — equivalent-circuit cells, a coupled thermal network, a CC-CV charge controller and an active balancer, composed cell → module → pack and run end to end.

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A PMSM traction-motor efficiency map — torque against speed coloured by efficiency, with a high-efficiency island peaking near 97% inside the torque-speed envelope

Full EV vehicle

The battery pack you sized becomes the car you drive — a complete electric vehicle over the WLTP cycle: drive cycle, traction motor, regen, the battery over the cycle, thermal, and the numbers that sell a car — range, consumption, and 0–100.

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A stacked-area dispatch chart over a day — PV, wind, battery and grid combining to exactly meet the load demand

Microgrid

Solar PV + wind + battery + grid-tie serving a load as one system under an energy-management controller — composed on a DC bus and run over a day: dispatch, self-sufficiency, peak-shaving, sizing, and islanded stability.

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Two rotor-angle trajectories after a fault — one a bounded damped swing, the other diverging past the 180-degree loss-of-synchronism line

AC grid stability

Does the grid survive the fault? Synchronous machines whose rotor angles must stay in step, a three-phase short circuit, and the critical clearing time that separates a recoverable swing from a blackout — the swing equation, the equal-area criterion, multi-machine stability, and the low-inertia renewables concern.

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A DjiniousLab notebook plot of the cart-pole swinging up from hanging to upright and being caught by the controller at t = 7.2 s, with the control force trace

Cart-pole control & RL

The canonical underactuated-control benchmark, taken end to end — nonlinear dynamics, an LQR that stabilises the inverted pole, energy swing-up, a model-free reinforcement-learning policy, and a Monte-Carlo robustness gate.

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A DjiniousLab notebook plot of a wind turbine's power curve and effective power coefficient across the cut-in, rated and cut-out operating regions

Wind turbine & farm

A multi-megawatt wind turbine and its farm — rotor aerodynamics, a two-inertia drivetrain, MPPT torque and pitch control, turbulent-load analysis, and a wake-optimised farm layout that lifts annual energy 18%.

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A DjiniousLab notebook plot of an excavator dig cycle — boom, stick and bucket joint angles with the boom cylinder pressure spiking at dig-resistance contacts

Hydraulic excavator

A 20-tonne excavator as one multi-physics model — a planar boom/stick/bucket linkage driven by hydraulic cylinders off a load-sensing pump, from kinematics and workspace through a coupled dig cycle to breakout force and cycle energy.

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A vorticity field showing alternating red and blue vortices shedding off a cylinder into a von Kármán street

Computational fluid dynamics

Solving a partial differential equation on a grid — a velocity field over space and time. A self-contained Lattice-Boltzmann solver reproduces the most iconic result in fluid dynamics: the von Kármán vortex street shed by flow past a cylinder, validated on channel flow, the Strouhal number, drag and lift, and a lid-driven cavity.

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Concentric electromagnetic wavefronts radiating outward from a point source on a grid

Electromagnetics (FDTD)

Solving Maxwell's equations on a grid — the electric and magnetic fields leapfrogging through space and time. A self-contained FDTD solver reproduces the canonical wave phenomena: radiation, refraction, diffraction, scattering and cavity resonance. The field-solver sibling to CFD, in electromagnetics.

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The von Mises stress field of a tip-loaded cantilever, highest at the clamped root and decaying to the free tip

Structural FEA & modal

The most-used simulation tool in engineering — discretize a structure into elements, solve for displacement and stress under load, and pull out its natural frequencies and mode shapes from an eigenvalue problem. Cantilever stress, mesh convergence, modal analysis, stress concentration, buckling and a real bracket.

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A compressor map — pressure ratio against corrected mass flow with speed lines, a surge line bounding a shaded surge zone, and the running line passing through the operating points safely below it

Gas turbine / jet engine

A single-spool turbojet on the Brayton cycle — compressor map, combustor and turbine work balance, nozzle thrust, the acceleration-surge failure mode, and off-design altitude lapse, all from first principles.

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A vapor-compression cycle drawn on a pressure-enthalpy diagram, the four states traced around the two-phase saturation dome — compression, condensation, expansion, evaporation

Heat pump

A vapor-compression heat pump on the refrigerant cycle — the P-h diagram, compressor and heat exchangers, the COP and its Carnot limit, how COP falls with temperature lift, and the seasonal SCOP that beats resistance heat fourfold.

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A PEM fuel-cell polarization curve — cell voltage falling with current density through the activation, ohmic and concentration loss regions

Hydrogen fuel cell

A PEM fuel cell from the electrochemistry up — the polarization curve and its three overpotentials, power and efficiency, an automotive stack, hydrogen consumption, thermal management, and dynamic load response.

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A log-scale plot of reactor power after a reactivity insertion — running away without feedback, but self-limiting to a bounded level once Doppler temperature feedback is included

Nuclear reactor

A reactor's neutronics from first principles — six-group point kinetics with Doppler feedback and xenon-135: the prompt jump, the prompt-critical cliff, self-limiting power excursions, the post-shutdown iodine pit, load-follow, and SCRAM.

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An S-shaped steady-state curve of reactor temperature against coolant temperature, with stable lower and upper branches, an unstable middle branch, and two fold points marking ignition and extinction

Chemical reactor (CSTR)

An exothermic stirred-tank reactor and its nonlinear-dynamics zoo — steady-state multiplicity, ignition/extinction hysteresis, sustained limit-cycle oscillations, thermal runaway, and the feedback control that tames an open-loop-unstable operating point.

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Blood glucose over a day inside the 70-180 mg/dL target band — the open loop spiking after meals while the closed loop holds the peaks down

Artificial pancreas

A closed-loop insulin controller on a glucose-insulin physiology model — taming post-meal spikes while never causing a hypo: the meal challenge, the hypoglycemia trap, a low-glucose-suspend safety layer, and a virtual-patient cohort.

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A discovered model tracking the true predator-prey oscillation three times past its training window while a black-box neural ODE drifts away

Scientific ML (UDEs)

Discovering missing physics from data with Universal Differential Equations — keep the physics you know, learn the gap with a neural network trained through the ODE solver, then read the learned term back as a symbolic equation that extrapolates where a black box can't.

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Posterior distributions of two parameters with their correlated joint density and a well-mixed MCMC trace

Bayesian inference & UQ

Not a single answer — a distribution over answers, with calibrated confidence. Markov-Chain Monte Carlo fits a model to noisy data and quantifies how sure you should be: posteriors that match the closed form where one exists, credible bands on predictions, model comparison, and a coverage check.

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A fused GPS+IMU estimate tracking an S-shaped path through a GPS dropout while raw GPS scatters noisily around it

State estimation

Recovering hidden state from noisy sensors with the Kalman family — linear KF, EKF and UKF, then GPS+IMU sensor fusion that holds a track straight through a GPS dropout, an EKF battery State-of-Charge estimator, and the consistency and outlier-rejection machinery that says when a filter can be trusted.

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A field-oriented torque command tracked crisply while the flux current stays pinned at zero — decoupled torque control

Power electronics & FOC

From raw switching power electronics to smooth torque: a PWM buck converter and its averaged model, the PMSM dq machine, field-oriented control decoupling torque from flux, carrier PWM, a cascade speed loop, and field weakening — the inverter and control layer under an EV powertrain.

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A native PID controller tracking a setpoint on an imported vendor FMU plant through the FMI interface

FMI co-simulation

Importing and co-simulating vendor models through the FMI standard — load a Dymola FMU and run it, cross-validate it against a native model, wrap your own controller around the black box through the FMI interface, couple it into a larger system, and quantify the co-simulation error.

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A constrained MPC settling with no overshoot while a saturating LQR overshoots, with the input held inside its limit band

Model predictive control

Putting an optimizer inside the control loop — plan over a horizon subject to hard constraints. The LQR baseline, the correctness anchor that unconstrained MPC equals LQR, constraint handling where LQR saturates and overshoots, offset-free tracking, and a real HVAC zone.

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A DjiniousLab notebook timeline of 24 satellite passes over Toulouse across a 24-hour window, each pass coloured by peak elevation

Satellite constellation

A 24-satellite Walker constellation, designed end to end — orbit propagation with J2, ground tracks and coverage, ground-station contact windows, a fleet-sizing trade, and a verification gate, all over a 3D globe.

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A DjiniousLab notebook plot of a rocket's gravity-turn ascent trajectory — downrange against altitude — with the main-engine cutoff point marked

Reusable rocket

A reusable launch vehicle from liftoff to landing — gravity-turn ascent, staging, a propulsive suicide-burn touchdown, a thrust-vector attitude loop, and a 500-trial landing-dispersion analysis, the descent flown over a 3D globe.

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Three software-in-the-loop plots — altitude, attitude and position — where the code-generated Rust firmware (dashed) tracks the DjiniousLab model (solid) to within a fraction of a percent

Model → Rust firmware

Model-based design to deployable code, the Rust-first way — an autopilot designed as block diagrams, code-generated to #![no_std] Rust, proven equivalent to the model, cross-compiled to a Cortex-M target, and attested for provenance.

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Range-compressed azimuth smears on the left collapsing into three sharp focused point targets on the right after backprojection

Synthetic aperture radar

Forming a focused radar image from raw returns — the chirp and pulse compression, the raw phase-history smear, backprojection focusing that beats the real antenna beamwidth, autofocus, and then the focusing kernel emitted as memory-safe Rust and cross-compiled to commodity ARM.

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A topology-optimized cantilever — a black truss of material on a white void, clamped at the left and braced to a tip load

Topology optimization

Don't design the part — let the optimizer discover it. Given a load, supports and a material budget, topology optimization decides where to put material to make a structure as stiff as possible, growing the organic, truss-like forms of generative design. FEM in the loop with adjoint sensitivities.

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A traffic spacetime diagram with dark jam-wave bands propagating backward through streams of fast-moving cars

Discrete-event & agent-based

The other kind of simulation — systems that jump at discrete events and agents that follow simple rules. Queues validated against queueing theory, a manufacturing line and its bottleneck, and traffic jams that emerge from nothing: the event-driven and agent-based paradigm, not differential equations.

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A Monte-Carlo option-price estimate converging onto the Black–Scholes line as the number of simulated paths grows, with a shrinking confidence band

Stochastic & quant finance

Simulation driven by randomness — Brownian motion, stochastic differential equations and Monte Carlo. Option prices that converge to Black–Scholes, variance reduction, path-dependent exotics, the Greeks, Value-at-Risk, and a volatility smile: the stochastic-calculus paradigm nothing else in the portfolio touches.

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An envelope-spectrum plot with a sharp peak at the bearing outer-race fault frequency (108 Hz) and its harmonics, recovered from a vibration signal where the fault was buried

Predictive maintenance

A digital twin that hears a bearing fail before it does — synthetic vibration, envelope analysis, a kurtogram, a neural classifier, and a remaining-useful-life estimate, on one rotating-asset model.

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DjiniousLabOne engineering notebook for model-based design — model, simulate, and generate on a living digital replica.