Extend the existing Engines/Game engine into a high-fidelity simulation platform targeting:
- Flight simulators (6DOF aircraft, aerodynamics, atmosphere)
- Real-time fluid simulations (wind, smoke, water — game-quality CFD)
- ML-driven game AI (NPC behavior, adaptive difficulty, physics-informed control)
The library will be distributed as Unity-compatible assets for developers building advanced simulation games.
The engine does not replace or duplicate code in Numerics, Physics, or ML. It orchestrates them:
Engines.Game.Flight → Physics.FluidDynamics + Physics.Mechanics + Numerics.ODE
Engines.Game.Fluids → Physics.FluidDynamics + Numerics.FiniteDifference
Engines.Game.AI → ML.ReinforcementLearning + ML.NeuralNetwork
Engines.Game (existing) → Physics.Mechanics (RigidBody, collisions, constraints)
Namespace: CSharpNumerics.Engines.Game.*
Flight simulation foundation: 6DOF rigid-body aircraft model with aerodynamic forces.
- Quaternion-based rotation utilities (if not already sufficient — verify QuaternionAlgebra coverage for body↔world frame transforms)
- Frame transformation helpers (body frame ↔ world frame, wind frame ↔ body frame)
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Physics.FluidDynamics.Aerodynamics.AtmosphereModel— ISA standard atmosphere (density, pressure, temperature vs altitude) -
Physics.FluidDynamics.Aerodynamics.AirfoilModel— lift/drag coefficient tables (AoA-based lookup with interpolation, flat plate, NACA symmetric) -
Physics.FluidDynamics.Aerodynamics.ControlSurface— deflection → ΔCl/ΔCd model (elevator, aileron, rudder) -
Physics.FluidDynamics.Aerodynamics.PropulsionModel— thrust as function of throttle, altitude, speed (jet + propeller)
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Engines.Game.Flight.AircraftState— 12-state vector (position, velocity, quaternion attitude, angular rates) -
Engines.Game.Flight.FlightDynamicsEngine— implementsISimulationEngine; integrates 6DOF equations using RK4Stepper from Numerics -
Engines.Game.Flight.ControlInput— throttle, pitch, roll, yaw, flaps, gear -
Engines.Game.Flight.AircraftConfig— wing area, span, mass, CG position, engine count, control surface geometry
- Straight-and-level flight (trim condition)
- Stall behavior (AoA > critical → Cl drops)
- Climb/descent rates match expected performance
- Roll/pitch response to control inputs
Adapt existing Navier-Stokes solvers for game-quality real-time performance. Focus on visual fidelity at interactive framerates rather than engineering accuracy.
-
Physics.FluidDynamics.Turbulence.TurbulenceModel— simple k-epsilon or Smagorinsky SGS for visual turbulence -
Physics.FluidDynamics.Buoyancy.BuoyancyForce— hot gas rises, cold sinks (for smoke/fire)
-
Engines.Game.Fluids.GameFluidSolver2D— stripped-down 2D N-S optimized for speed (fewer Poisson iterations, coarser grid, LOD) -
Engines.Game.Fluids.GameFluidSolver3D— 3D variant with configurable resolution (32³–128³) -
Engines.Game.Fluids.FluidConfig— grid size, viscosity, timestep, boundary mode, quality preset (Low/Medium/High) -
Engines.Game.Fluids.FluidBodyCoupling— two-way: rigid bodies experience drag/lift from fluid; bodies displace fluid -
Engines.Game.Fluids.VorticityConfinement— add back vorticity lost to numerical diffusion (sharper smoke curls) -
Engines.Game.Fluids.FluidEmitter— inject velocity/density at a point or region (exhaust, wind sources, explosions) -
Engines.Game.Fluids.FluidObstacle— static/dynamic geometry that blocks flow (buildings, terrain, aircraft)
- Aircraft samples wind field at its position → adds to aerodynamic velocity
- Engine exhaust feeds back into fluid as emitter
- Wake turbulence behind aircraft (simplified vortex model)
- Smoke rising around obstacle (visual validation: vortex shedding)
- Fluid-body coupling: sphere falls slower in fluid vs vacuum
- Emitter produces expanding plume
- Performance: 64³ grid runs at ≥30 steps/sec on single thread
Wire existing RL infrastructure into the game engine for intelligent NPC behavior and adaptive systems.
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ML.ReinforcementLearning.Environments.FlightEnv— observation: aircraft state (12D), action: control surfaces (4D continuous), reward: waypoint tracking + fuel efficiency -
ML.ReinforcementLearning.Environments.DogfightEnv— multi-agent pursuit-evasion with flight dynamics -
ML.ReinforcementLearning.Environments.FluidNavigationEnv— agent navigates through wind/current field
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Engines.Game.AI.GameAIAgent— wraps a trained RL policy; takes game state observations, returns actions per tick -
Engines.Game.AI.AITrainer— offline training loop: runs FlightDynamicsEngine headless, trains PPO/DDPG policy -
Engines.Game.AI.BehaviorTree— lightweight behavior tree executor for hybrid AI (ML decisions + scripted fallbacks) -
Engines.Game.AI.FormationController— multi-agent coordination (wingmen following leader using RL + formation rules) -
Engines.Game.AI.AdaptiveDifficulty— monitors player performance, adjusts AI aggressiveness via policy parameters
- Trained agent can maintain level flight (reward converges)
- Dogfight agent pursues target with reasonable intercept geometry
- Formation controller maintains spacing under wind perturbation
- Adaptive difficulty reduces AI skill when player struggles
Deeper physics features needed for high-fidelity simulation games.
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Physics.Mechanics.SoftBody.DeformableMesh— mass-spring network on triangulated mesh (uses CoupledOscillators) -
Physics.Mechanics.SoftBody.ClothSimulation— constrained particle system with self-collision -
Physics.FluidDynamics.SPH.SPHSolver— Smoothed Particle Hydrodynamics for water splashes, liquid in containers -
Physics.FluidDynamics.FreeSurface.VOFTracker— Volume-of-Fluid for water surface tracking
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Engines.Game.Particles.ParticleSystem— emission, lifetime, forces (gravity, drag, wind from fluid field), collision with world -
Engines.Game.Particles.ParticleEmitter— rate, cone angle, initial velocity, randomness -
Engines.Game.Terrain.TerrainCollider— heightmap-based collision for ground interaction -
Engines.Game.Terrain.WindOverTerrain— terrain deflects wind field (simple boundary layer model) - Continuous collision detection (CCD) — swept sphere for fast projectiles
- Spatial partitioning upgrade — BVH or octree for large worlds
- Cloth draped over sphere (visual: no penetration, natural drape)
- SPH water splashes when object dropped
- Particle system affected by fluid wind field
- Terrain collision for aircraft landing gear
Package the engine for consumption as a Unity asset. This layer is a thin adapter — all logic stays in the core library.
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Engines.Game.Unity.UnityAdapter— converts between Unity Vector3/Quaternion and CSharpNumerics VectorN/Matrix -
Engines.Game.Unity.PhysicsSync— synchronizes PhysicsWorld state with Unity Transform components (position, rotation) -
Engines.Game.Unity.FluidRenderer— provides density/velocity textures from GameFluidSolver3D for Unity VFX Graph or shader consumption -
Engines.Game.Unity.FlightController— MonoBehaviour-style interface: exposes ControlInput, reads AircraftState, drives Unity Transform -
Engines.Game.Unity.AIBridge— feeds Unity game state to GameAIAgent, applies returned actions
- Unity sample project: flight simulator scene with HUD
- Unity sample: real-time smoke simulation with fluid-body interaction
- Unity sample: ML-trained dogfight AI opponents
- API reference documentation for all public types
- Update Engines/README.md with Game Engine section
- Adapter round-trips preserve values (Vector3 → VectorN → Vector3)
- PhysicsSync maintains frame coherence over 10,000 steps
- FluidRenderer produces valid texture data at 60fps
Optimize for production game use.
- SIMD acceleration for vector math hot paths (Vector128/256 where available)
- Span / stackalloc for zero-allocation fluid solver inner loops
- Multi-threaded broad phase collision (partition spatial grid across threads)
- Fluid solver thread: run on background thread, game samples latest snapshot
- Memory pooling for particles, rigid bodies, constraint arrays
- Profiling benchmarks: measure ms/frame for key scenarios
- LOD system for fluid: coarse grid far from camera, fine near
- Deterministic replay: serialize full state for network sync / replays
| Feature | Namespace | Rationale |
|---|---|---|
| Atmosphere model | Physics.FluidDynamics.Aerodynamics |
Physical model, no game logic |
| Airfoil lift/drag | Physics.FluidDynamics.Aerodynamics |
Physical model |
| Turbulence model | Physics.FluidDynamics.Turbulence |
Physical model |
| SPH solver | Physics.FluidDynamics.SPH |
Physical algorithm |
| Soft body / cloth | Physics.Mechanics.SoftBody |
Physical model |
| Quaternion math | Numerics.Objects |
Pure math |
| Flight dynamics engine | Engines.Game.Flight |
Orchestration |
| Game fluid solver | Engines.Game.Fluids |
Game-optimized orchestration |
| Game AI agent | Engines.Game.AI |
Game-specific ML application |
| Particle system | Engines.Game.Particles |
Game feature |
| Terrain interaction | Engines.Game.Terrain |
Game feature |
| Unity adapter | Engines.Game.Unity |
Platform integration |
| RL flight environment | ML.ReinforcementLearning.Environments |
Training environment (ML domain) |
Extend the existing Engines/Game engine. Rationale:
- The current PhysicsWorld + constraint solver + collision pipeline is solid and tested
- Flight, fluids, and AI are additive sub-systems — they don't replace rigid-body physics
- The
ISimulationEngine+SimulationClock+EventBusinfrastructure already supports multiple coordinated engines - Creating a separate engine would duplicate the rigid-body foundation and violate DRY
- Unity integration is just an adapter layer — it doesn't require engine-level changes
The extended structure:
Engines/Game/
├── PhysicsWorld.cs (existing — rigid body orchestrator)
├── Flight/ (NEW — 6DOF flight dynamics)
├── Fluids/ (NEW — real-time game fluid sim)
├── AI/ (NEW — ML-driven game intelligence)
├── Particles/ (NEW — particle effects)
├── Terrain/ (NEW — terrain interaction)
├── Unity/ (NEW — Unity asset bridge)
├── Constraints/ (existing)
├── BroadPhase/ (existing)
└── Objects/ (existing)