Simulation Use Cases
17,740+ real problems, each mapped to a live solver you can run right now — no install, no account. Pick a field to explore.
Physics & Mechanics
1,770 use casesParticle / N-Body for a projectile from a cannonParticle / N-Body for a bouncing ballParticle / N-Body for a pendulum clockParticle / N-Body for a car brakingParticle / N-Body for a roller-coaster loopParticle / N-Body for a satellite orbitParticle / N-Body for a mass on a springParticle / N-Body for a skydiver's free fallParticle / N-Body for a two-cart collisionParticle / N-Body for planetary motionParticle / N-Body for a playground swingParticle / N-Body for a block on a ramp
Mathematics
630 use casesVisual Node Graph for compound interestVisual Node Graph for a population curveVisual Node Graph for a loan payoffVisual Node Graph for a logistic mapVisual Node Graph for a Fibonacci sequenceVisual Node Graph for a fractal treeVisual Node Graph for a Fourier seriesVisual Node Graph for a Taylor approximationVisual Node Graph for a Monte-Carlo pi estimateVisual Node Graph for a random walkVisual Node Graph for a matrix transformVisual Node Graph for a Markov chain
Structural & Civil
1,200 use cases2D Fluid (CFD) for a cantilever balcony2D Fluid (CFD) for a bridge girder2D Fluid (CFD) for a floor joist2D Fluid (CFD) for a roof rafter2D Fluid (CFD) for a steel beam2D Fluid (CFD) for a timber deck2D Fluid (CFD) for a crane boom2D Fluid (CFD) for a retaining wall2D Fluid (CFD) for a stair stringer2D Fluid (CFD) for a shelf bracket2D Fluid (CFD) for a wind-turbine tower2D Fluid (CFD) for a footbridge
Aerospace & Flight
390 use casesRocket Equation for a passenger jet wingRocket Equation for a rocket ascentRocket Equation for a drone quadcopterRocket Equation for a gliderRocket Equation for a paper airplaneRocket Equation for a Mars landerRocket Equation for a satellite reentryRocket Equation for a model rocketRocket Equation for a wind-tunnel airfoilRocket Equation for a helicopter rotorRocket Equation for a parachute descentRocket Equation for a supersonic jet
Complex Systems
300 use casesBoids Flocking for a traffic jamBoids Flocking for a bird flockBoids Flocking for a forest fireBoids Flocking for a crowd evacuationBoids Flocking for an ant colonyBoids Flocking for a rumor spreadingBoids Flocking for a market bubbleBoids Flocking for a power-grid cascadeBoids Flocking for an ecosystemBoids Flocking for a sandpile avalancheBoids Flocking for a fish schoolBoids Flocking for a city growing
Weather & Climate
240 use casesAtmospheric Stability for a thunderstormAtmospheric Stability for a hurricane trackAtmospheric Stability for a tornadoAtmospheric Stability for a heat waveAtmospheric Stability for a cold frontAtmospheric Stability for a sea breezeAtmospheric Stability for a flash floodAtmospheric Stability for a snowstormAtmospheric Stability for a droughtAtmospheric Stability for a monsoonAtmospheric Stability for a fog bankAtmospheric Stability for a wind gust
Statistics & Data
1,110 use casesOptimize + UQ for an A/B testOptimize + UQ for a survey sampleOptimize + UQ for a poll marginOptimize + UQ for a quality-control chartOptimize + UQ for a clinical trialOptimize + UQ for a customer churnOptimize + UQ for a click-through rateOptimize + UQ for an exam-score curveOptimize + UQ for a defect rateOptimize + UQ for a hypothesis testOptimize + UQ for a confidence intervalOptimize + UQ for a regression forecast
Sports Analytics
240 use casesElo Rating for a basketball free throwElo Rating for a soccer penaltyElo Rating for a baseball pitchElo Rating for a golf puttElo Rating for a tennis serveElo Rating for a football field goalElo Rating for a sprint raceElo Rating for a marathon paceElo Rating for a cycling time trialElo Rating for a ski jumpElo Rating for a long jumpElo Rating for a high jump
Robotics & Control
780 use casesForward Kinematics for a robot armForward Kinematics for a self-driving carForward Kinematics for a warehouse robotForward Kinematics for a drone deliveryForward Kinematics for a walking robotForward Kinematics for a robotic gripperForward Kinematics for a CNC toolpathForward Kinematics for a quadrupedForward Kinematics for a line-followerForward Kinematics for a robot vacuumForward Kinematics for a surgical robotForward Kinematics for a pick-and-place arm
Quantum & Modern Physics
240 use casesParticle in a Box for a hydrogen atomParticle in a Box for a quantum wellParticle in a Box for a qubitParticle in a Box for the double-slit experimentParticle in a Box for a particle in a boxParticle in a Box for a tunneling electronParticle in a Box for a spin measurementParticle in a Box for a laser cavityParticle in a Box for a Bloch sphereParticle in a Box for an entangled pairParticle in a Box for a quantum gateParticle in a Box for a harmonic oscillator
Optics & Photonics
360 use casesSnell's Law for a camera lensSnell's Law for a laser beamSnell's Law for a fiber-optic cableSnell's Law for a microscopeSnell's Law for a telescopeSnell's Law for a prismSnell's Law for a rainbowSnell's Law for a hologramSnell's Law for a solar cellSnell's Law for an LEDSnell's Law for a diffraction gratingSnell's Law for a mirror reflection
Optimization & OR
240 use casesLinear Programming for a delivery routeLinear Programming for a warehouse layoutLinear Programming for a factory scheduleLinear Programming for a staff rosterLinear Programming for a portfolio mixLinear Programming for a supply chainLinear Programming for a bin-packing planLinear Programming for a knapsackLinear Programming for a network flowLinear Programming for a job-shop scheduleLinear Programming for a cutting-stock planLinear Programming for a vehicle-routing run
Nuclear & Radiation
240 use casesNuclear Binding Energy for a reactor coreNuclear Binding Energy for a radiation shieldNuclear Binding Energy for a fuel rodNuclear Binding Energy for a Geiger counterNuclear Binding Energy for a nuclear decayNuclear Binding Energy for a PET scanNuclear Binding Energy for an X-ray doseNuclear Binding Energy for a fusion plasmaNuclear Binding Energy for a radiotherapy beamNuclear Binding Energy for a fallout plumeNuclear Binding Energy for a criticality testNuclear Binding Energy for a half-life sample
Materials
240 use casesStress-Strain Curve for a steel beamStress-Strain Curve for an aluminum frameStress-Strain Curve for a concrete mixStress-Strain Curve for a carbon-fiber panelStress-Strain Curve for a rubber sealStress-Strain Curve for a glass paneStress-Strain Curve for a copper wireStress-Strain Curve for a titanium implantStress-Strain Curve for a 3D-printed partStress-Strain Curve for a ceramic tileStress-Strain Curve for a plastic bottleStress-Strain Curve for a wood joint
Manufacturing
240 use casesTolerance Stack-Up for a CNC partTolerance Stack-Up for an assembly lineTolerance Stack-Up for an injection moldTolerance Stack-Up for a 3D printTolerance Stack-Up for a welding cellTolerance Stack-Up for a paint boothTolerance Stack-Up for a packaging lineTolerance Stack-Up for a bottling plantTolerance Stack-Up for a lathe cutTolerance Stack-Up for a stamping pressTolerance Stack-Up for a conveyor beltTolerance Stack-Up for a quality check
Networks & Graphs
240 use casesShortest Path for a road networkShortest Path for a social graphShortest Path for a subway mapShortest Path for a supply networkShortest Path for a flight networkShortest Path for a power gridShortest Path for a computer networkShortest Path for a citation graphShortest Path for a friendship networkShortest Path for a delivery mapShortest Path for a dependency graphShortest Path for a maze
Geospatial & Navigation
240 use casesGreat-Circle Distance for a GPS routeGreat-Circle Distance for a hiking trailGreat-Circle Distance for a delivery zoneGreat-Circle Distance for a flight pathGreat-Circle Distance for a shipping laneGreat-Circle Distance for a cell-tower mapGreat-Circle Distance for a flood zoneGreat-Circle Distance for a wildfire perimeterGreat-Circle Distance for an evacuation routeGreat-Circle Distance for a drone surveyGreat-Circle Distance for a property boundaryGreat-Circle Distance for a coastline
First Responders
240 use casesWildfire Spread for a house fireWildfire Spread for a wildfireWildfire Spread for a hazmat spillWildfire Spread for a mass-casualty sceneWildfire Spread for a flood rescueWildfire Spread for a building collapseWildfire Spread for a chemical leakWildfire Spread for a search-and-rescue gridWildfire Spread for a triage stationWildfire Spread for an evacuationWildfire Spread for a smoke spreadWildfire Spread for a gas leak
Finance & Quant
1,080 use casesBlack-Scholes for a stock optionBlack-Scholes for a retirement fundBlack-Scholes for a mortgageBlack-Scholes for a bond ladderBlack-Scholes for a crypto portfolioBlack-Scholes for an index fundBlack-Scholes for a savings planBlack-Scholes for a startup valuationBlack-Scholes for a loan payoffBlack-Scholes for a dividend streamBlack-Scholes for a hedge positionBlack-Scholes for a currency trade
Energy & Power
840 use casesSolar PV System for a solar farmSolar PV System for a wind turbineSolar PV System for a home batterySolar PV System for an EV chargerSolar PV System for a power gridSolar PV System for a heat pumpSolar PV System for a gas turbineSolar PV System for a hydro damSolar PV System for a nuclear plantSolar PV System for a microgridSolar PV System for a fuel cellSolar PV System for a transmission line
Electronics & Signals
1,350 use casesFourier Transform for an RLC circuitFourier Transform for a power supplyFourier Transform for a transformerFourier Transform for a DC motorFourier Transform for an op-amp filterFourier Transform for an antennaFourier Transform for a transmission lineFourier Transform for a PCB traceFourier Transform for a battery packFourier Transform for an inverterFourier Transform for a rectifierFourier Transform for a signal filter
Economics & Markets
540 use casesSupply & Demand for a supply-demand marketSupply & Demand for a monopolySupply & Demand for an auctionSupply & Demand for a tax policySupply & Demand for a trade tariffSupply & Demand for an inflation modelSupply & Demand for a labor marketSupply & Demand for a game-theory standoffSupply & Demand for a price warSupply & Demand for a housing marketSupply & Demand for a minimum wageSupply & Demand for a subsidy
Earth & Climate
840 use casesEnergy Balance for an earthquakeEnergy Balance for a volcanoEnergy Balance for a glacier meltEnergy Balance for a tsunamiEnergy Balance for a river floodEnergy Balance for an ocean currentEnergy Balance for a sea-level riseEnergy Balance for a carbon cycleEnergy Balance for a tectonic plateEnergy Balance for a groundwater flowEnergy Balance for a landslideEnergy Balance for a coral bleaching
Cryptography
240 use casesRSA Encryption for an RSA keyRSA Encryption for a password hashRSA Encryption for a digital signatureRSA Encryption for a Diffie-Hellman exchangeRSA Encryption for a block cipherRSA Encryption for a hash collisionRSA Encryption for a one-time padRSA Encryption for a Caesar cipherRSA Encryption for a public-key handshakeRSA Encryption for an elliptic curveRSA Encryption for a random-number generatorRSA Encryption for a TLS handshake
Chemistry
1,080 use casesMolecular Dynamics for a reaction rateMolecular Dynamics for a titrationMolecular Dynamics for a gas lawMolecular Dynamics for a pH balanceMolecular Dynamics for an equilibriumMolecular Dynamics for a battery cellMolecular Dynamics for a combustionMolecular Dynamics for a crystallizationMolecular Dynamics for a fermentationMolecular Dynamics for a catalystMolecular Dynamics for a solubility curveMolecular Dynamics for a diffusion
Computer Science & AI
600 use casesAI Surrogate for a neural networkAI Surrogate for a sorting algorithmAI Surrogate for a search treeAI Surrogate for a hash tableAI Surrogate for a recommendation engineAI Surrogate for an image classifierAI Surrogate for a chatbotAI Surrogate for a pathfinding AIAI Surrogate for a game AIAI Surrogate for a spam filterAI Surrogate for a clustering modelAI Surrogate for a decision tree
Biology & Medicine
1,140 use casesDynamical Systems for a bacterial growthDynamical Systems for a predator-prey cycleDynamical Systems for a neuron firingDynamical Systems for a heartbeatDynamical Systems for a virus spreadDynamical Systems for a gene expressionDynamical Systems for a protein foldDynamical Systems for a muscle contractionDynamical Systems for a blood flowDynamical Systems for an enzyme reactionDynamical Systems for a rabbit populationDynamical Systems for a coral colony
Astronomy & Space
240 use casesExoplanet Transit for a planet orbitExoplanet Transit for a binary starExoplanet Transit for a black holeExoplanet Transit for a galaxy rotationExoplanet Transit for a comet pathExoplanet Transit for a solar eclipseExoplanet Transit for a supernovaExoplanet Transit for a star's lifeExoplanet Transit for an exoplanet transitExoplanet Transit for a lunar phaseExoplanet Transit for an asteroid flybyExoplanet Transit for a rocket to Mars