Physics & Fundamentals Back
Physics & Fundamentals

Physics Simulators

Projectile motion, pendulum, circular motion, Doppler effect, ideal gas laws, optics, wave phenomena, and other fundamental physics tools.

67 simulators
SIMULATORS
Autocorrelation Function Simulator — Period Detection
Autocorrelation Function Simulator — Period Detection compares how nearby design assumptions and key metrics shifts as the main assumptions change.
Betz Limit Simulator — Theoretical Maximum Wind Turbine Efficiency
Betz Limit Simulator — Theoretical Maximum Wind Turbine Efficiency compares how nearby design assumptions and key metrics shifts as the main assumptions change.
BMI & Body Composition Simulator
A focused entry point for nearby design assumptions and key metrics, useful before selecting the next tool in the same cluster.
Boids Flocking Simulator — Emergent Collective Behavior
Simulate flocking behavior with three simple rules. Adjust Separation, Alignment, and Cohesion weights to control the swarm. Interactive predator and attractor tools.
Bone Fracture Risk, Bone Strength & Fatigue Calculator
Bone Fracture Risk, Bone Strength & Fatigue Calculator focuses on local stress, material strength, and life margin, giving a compact read on the current case and the tre…
Brownian Motion & Random Walk Simulator
Simulate Brownian motion and random walks in real time. Adjust particles, step size, and trails to verify Einstein's diffusion formula and explore parameters.
Bungee Jump Physics Simulator — Elastic Cord Dynamics & Peak Force
Bungee Jump Physics Simulator — Elastic Cord Dynamics & Peak Force focuses on nearby design assumptions and key metrics, giving a compact read on the current case and th…
Cavitation Npsh Margin Detail Simulator
Cavitation Npsh Margin Detail Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Membrane Potential, Nernst Equation & Action Potential Simulator
Simulate action potentials & calculate membrane potentials. Use the Nernst & Goldman-Hodgkin-Katz equations with a real-time electrophysiology simulator.
Centripetal Force Simulator — Uniform Circular Motion
Centripetal Force Simulator — Uniform Circular Motion focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that …
Uniform Circular Motion Simulator — Centripetal Force & Velocity
Use this page to relate representative assumptions to nearby design assumptions and key metrics before moving into the adjacent engineering checks.
Coefficient of Restitution Simulator — Decay of a Bouncing Ball
Use this page to relate representative assumptions to nearby design assumptions and key metrics before moving into the adjacent engineering checks.
Crank Nicolson Simulator
Crank Nicolson Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Cyclone Separator Cut Size Simulator
Cyclone Separator Cut Size Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Database Index Btree Cost Simulator
Database Index Btree Cost Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
DFT Leakage Window Detail Simulator
DFT Leakage Window Detail Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
DH Parameters & Forward Kinematics Calculator (Up to 6-DOF)
Calculate forward kinematics for 6-DOF robot arms using DH parameters. Includes PUMA, SCARA, and UR presets with real-time transformation matrices.
1D Diffusion Equation Solver
Solve the 1D diffusion equation using Crank-Nicolson method. Gaussian, step, and sine initial conditions with Dirichlet/Neumann/periodic BCs.
Design of Experiments (DOE)
Optimize designs with factorial & Taguchi L9 DOE. Automatically calculate main effects, ANOVA, F-test, and SN ratios for robust engineering analysis.
Domino Chain Simulator — 2D Rigid Body Collision Physics
Simulate domino chain reactions with a 2D physics engine. Place dominoes, push the first, and watch angular momentum propagate in this interactive tool.
Double Pendulum Chaos Simulator — Lagrangian Dynamics & RK4 Integration
Simulate chaotic double pendulum physics in real time. Adjust lengths, masses, and angles to explore Lagrangian mechanics and RK4 integration.
Elastic Billiard Ball Collision Simulator — Restitution & Momentum
Simulate elastic billiard ball collisions. Adjust restitution, gravity, friction. Drag and launch balls to see momentum physics in action.
Elevator Acceleration Simulator — Apparent Weight & Motion Phases
Elevator acceleration simulator. Calculate apparent weight on a scale during acceleration, cruise and deceleration in real time. Visualize inertia and gravity.
Mechanical Energy Conservation Simulator
A focused entry point for nearby design assumptions and key metrics, useful before selecting the next tool in the same cluster.
Energy Storage Comparison — Ragone Plot Calculator
Compare energy storage technologies using a Ragone plot. Set your power and energy needs to find the best solution among Li-ion, supercapacitors, and more.
Flywheel Energy Storage & Coefficient of Fluctuation Calculator
Use this page to relate representative assumptions to nearby design assumptions and key metrics before moving into the adjacent engineering checks.
Forward Kinematics Simulator — Two-Link Planar Manipulator
Forward kinematics for a 2-link planar manipulator. Compute end-effector (x,y), reach r, and Jacobian determinant detJ = L1 L2 sin theta2 with singularity visualization.
Friction Coefficient Simulator — Static & Kinetic Friction on Inclined Planes
Simulate static & kinetic friction forces. Adjust materials, mass, incline, and force to compute self-locking angles and sliding status instantly.
Friction on an Inclined Plane Simulator
Friction on an Inclined Plane Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.
Genetic Algorithm Optimizer
Run GA optimization on Rastrigin, Ackley, Sphere, and Rosenbrock functions. Watch population evolve on fitness landscape.
Impulse-Momentum & Collision Simulator (1D/2D)
Simulate elastic & inelastic collisions in 1D/2D. Adjust the coefficient of restitution and see momentum conservation in real-time animation.
Inclined Plane Motion Simulator
Simulate motion on an inclined plane. Set angle, mass, friction & velocity. View real-time vector diagrams, graphs, and automatic slip/stick calculations.
Perfectly Inelastic Collision Simulator — Momentum Conservation and Energy Loss
Real-time tool for perfectly inelastic collisions: from m_1, v_1, m_2, v_2 it returns common final velocity, initial and final kinetic energy, and energy-loss fraction.
Isoparametric Mapping Simulator — 4-Node Quadrilateral Element
A focused entry point for nearby design assumptions and key metrics, useful before selecting the next tool in the same cluster.
Uniform Acceleration Simulator
Interactive simulator for uniformly accelerated 1D motion. Drag sliders for v0 and a to watch x-t, v-t and a-t graphs and the animated particle update live.
Kinematics Calculator & Visualizer — 1D/2D Constant Acceleration
Solve 1D & 2D motion problems instantly. Visualize projectile arcs and sketch graphs to see kinematic equations in action. Perfect for physics students.
Magnetic Field Lines Simulator — Pole Placement & Field Visualization
Visualize magnetic fields in real time. Place N/S poles to simulate dipoles, quadrupoles, and complex configurations. Build intuition for electromagnetism.
Magnetic Field Lines Simulator — Electromagnetic Visualization
Visualize magnetic fields in real time. Simulate wires and magnets to explore Ampere's Law and dipole fields. Interactive physics tool.
Magnetic Pendulum Chaos Simulator — Fractal Basin of Attraction
Explore chaotic motion with a magnetic pendulum simulator. Visualize fractal basins of attraction by color-coding each point's final magnet.
Newton's Cradle Simulator — Elastic Collision & Momentum Conservation
Explore Newton's Cradle: Adjust gravity, string length, and elasticity to see momentum and elastic collisions in action.
Nyquist Diagram & Stability Margin Calculator
Interactive Nyquist plot calculator. Adjust gain K to visualize stability margins and encirclements in real time. Learn the Nyquist stability criterion.
Particle Collision Simulator — Elastic Collisions & Maxwell-Boltzmann
Simulate particle collisions in a 2D box. Adjust gravity, restitution, and temperature to observe energy conservation and the Maxwell-Boltzmann distribution.
Chaotic Pendulum Simulator — Double Pendulum & Butterfly Effect
Double pendulum chaos simulator using 4th-order Runge-Kutta. Visualize two trajectories with initial angles offset by 0.001° to see the butterfly effect of chaos.
Double Pendulum Simulator — Chaotic Motion Visualization
Simulate chaotic double pendulum motion in real time. Visualize how tiny initial changes create wildly different paths using Lagrangian mechanics and RK4 integration.
Pendulum Wave Simulator
Watch 15 pendulums create mesmerizing waves, spirals, and chaos through precise physics. A stunning visual demonstration of harmonic motion.
Per-Unit System Simulator — Power System p.u. Value Conversion
Per-unit (p.u.) calculator for three-phase grids. Derive Z_base, I_base from V_base, S_base and normalize V, Z into dimensionless per-unit values in real time.
Projectile Motion Simulator (with Air Drag)
Simulate projectile motion with air drag. Compare trajectories, find the optimal launch angle, and animate launches in real-time.
Projectile & Orbit Simulator — Kepler Orbits to Escape Velocity
Simulate projectile trajectories and orbital mechanics. Adjust velocity to see transitions from suborbital to circular, elliptical, and hyperbolic escape paths.
Projectile Motion with Air Drag Simulator — RK4 Numerical Integration
Simulate projectile motion with air drag. Adjust parameters like speed and drag coefficient to see the real trajectory diverge from the ideal parabola.
Relativistic Time Dilation Simulator
Use this page to relate representative assumptions to nearby design assumptions and key metrics before moving into the adjacent engineering checks.
Roller Coaster Energy Conservation Simulator
Roller Coaster Energy Conservation Simulator focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters n…
Shannon Channel Capacity Simulator — Information Theory Limit
A focused entry point for flow rate, pressure loss, and hydraulic margin, useful before selecting the next tool in the same cluster.
Simple Pendulum Simulator — Period, Phase & Amplitude Visualization
Simple Pendulum Simulator — Period, Phase & Amplitude Visualization focuses on nearby design assumptions and key metrics, giving a compact read on the current case and t…
Smith Chart Simulator — Reflection Coefficient and VSWR
Use this page to relate representative assumptions to electromagnetic, circuit, and transmission conditions before moving into the adjacent engineering checks.
Soccer Free Kick Simulator — Magnus Effect & Trajectory Optimization
Soccer free kick trajectory simulator. Physically compute the curved flight with Magnus effect and air drag in real time; tune spin, speed and launch angle.
Special Relativity Simulator
Interactive simulator for Einstein's Special Relativity. Visualize time dilation, length contraction, and relativistic effects in real-time with a Minkowski diagram.
Statistical Process Control Simulator — Control Charts & Cp/Cpk
Statistical Process Control Simulator — Control Charts & Cp/Cpk focuses on control response, stability margin, and tuning assumptions, giving a compact read on the curre…
Supply & Demand Curve Simulator
Supply & Demand Curve Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.
Torque & Lever Principle Simulator
Torque & Lever Principle Simulator compares how nearby design assumptions and key metrics shifts as the main assumptions change.
Trebuchet Physics Simulator — Ballistics & Classical Mechanics
Explore trebuchet physics: adjust mass, geometry, and drag to see potential energy transform into projectile motion in this interactive simulator.
2D Vector Addition Simulator
2D Vector Addition Simulator focuses on nearby design assumptions and key metrics, giving a compact read on the current case and the trend that matters next.
2D Wave Interference Simulator — Wave Superposition
Explore 2D wave interference with up to 4 sources. Adjust wavelength, frequency, phase, and damping in real-time. Drag sources to create custom patterns.
Wave Properties Visualizer
Visualize transverse waves in real-time. Adjust frequency, wavelength, amplitude, and phase. See wave interference and key wave equations.
Wave Reflection & Transmission Simulator — Acoustic & Elastic Waves
Calculate acoustic & elastic wave reflection & transmission at a material interface. Adjust impedance and angle with this interactive simulator.
Wave Superposition Simulator — Interference, Beats & Standing Waves
Superpose two waves with adjustable frequency, amplitude, and phase to visualize constructive/destructive interference, beat frequency, and standing wave formation.
Waveform Generator & Synthesizer — RMS, FFT Spectrum, THD Calculator
Design complex waveforms by combining up to 4 signal components. Instantly analyze key metrics like RMS, THD, and crest factor while visualizing the composite result.
Work-Energy Theorem & Power Calculator
Calculate work, power & kinetic energy in real time with interactive physics tool. Set force, displacement, mass & velocity.

Other Categories

What is Physics & Fundamentals? — From Fundamentals to Practice

🙋
What exactly do we mean by "Physics & Fundamentals" in the context of CAE and simulation? It sounds very broad.
🎓
Great question! In CAE, "Physics & Fundamentals" refers to the core physical laws—like Newton's laws of motion, the principles of thermodynamics, and wave theory—that govern how the real world behaves. A physics simulator is software that translates these mathematical laws into a digital environment. For example, before building a bridge, engineers use these fundamentals in a simulation to see how it will bend under weight (mechanics) or vibrate in the wind (acoustics and waves).
🙋
So how are these physics fundamentals applied in real industry projects?
🎓
Absolutely everywhere! In automotive, crash simulation relies on solid mechanics and material physics. Aerospace engineers use fluid dynamics and thermodynamics to design efficient jet engines. Consumer electronics companies simulate acoustics and wave propagation to design better speakers and reduce noise in devices like laptops. Even the medical industry uses physics simulation for modeling blood flow (hemodynamics) or the impact of ultrasound waves.
🙋
That makes sense. As a student, how do I start using these tools to apply physics fundamentals?
🎓
Start by strengthening your core understanding of classical mechanics, fluids, and waves. Then, move to software. Use a multi-physics simulator like Ansys Workbench or COMSOL to see how different physics interact. For acoustics, try LMS Virtual.Lab or Actran. OpenFOAM is fantastic for open-source fluid dynamics. Begin with simple tutorials—simulate the stress on a beam, the flow over an airfoil, or sound in a duct. The key is to connect the software results back to the fundamental equations you learned in class.

Key Areas in Physics & Fundamentals

The realm of Physics & Fundamentals within CAE (Computer-Aided Engineering) is the essential bedrock upon which all accurate simulation and virtual analysis is built. It encompasses the mathematical modeling of core physical phenomena that engineers must predict and understand. The primary areas include Solid Mechanics, which deals with stress, strain, and deformation of structures under load, simulated using tools like Abaqus and Nastran. Fluid Dynamics involves the analysis of liquids and gases in motion, crucial for aerodynamics and HVAC design, with leading solvers being Ansys Fluent and OpenFOAM. Thermodynamics and Heat Transfer simulation predicts temperature distribution, energy flow, and thermal stresses in components from engines to electronics. Finally, Wave Physics, covering acoustics, vibrations, and electromagnetic waves, is vital for noise reduction, speaker design, and antenna performance, utilizing specialized physics simulators like LMS Virtual.Lab and CST Studio Suite.

Mastering these fundamentals is not academic—it's a direct driver of innovation and safety. Industry applications are vast: using acoustics simulation to design quieter car cabins, applying thermal analysis to prevent smartphone overheating, or leveraging fluid-structure interaction to create more durable wind turbine blades. The trend towards multi-physics analysis, where these domains interact (like simulating how heat affects structural integrity), makes this foundational knowledge more critical than ever. A deep grasp of the underlying physics transforms a CAE user from someone who just runs software into an expert who can interpret results, validate models, and drive confident engineering decisions.

Frequently Asked Questions

Q: What is the difference between a physics simulator and general CAE software?

A: While the terms are often used interchangeably, a "physics simulator" typically emphasizes the core engine that solves fundamental equations (like Navier-Stokes for fluids or Maxwell's for electromagnetics). General CAE software is a broader suite that includes the simulator (solver) along with pre-processing (geometry, meshing) and post-processing (visualization) tools. For instance, Ansys Mechanical is CAE software that uses an underlying physics simulation engine to perform structural analysis based on the fundamentals of solid mechanics.

Q: Why is an understanding of wave physics and acoustics important in mechanical engineering?

A: Acoustics is fundamentally the study of mechanical waves in fluids and solids. For mechanical engineers, this knowledge is essential for noise, vibration, and harshness (NVH) analysis, a critical quality metric in automotive and aerospace industries. Understanding wave physics allows engineers to simulate how sound propagates from a vibrating engine block, how to design damping materials to reduce resonance, or how to minimize structural vibrations that lead to fatigue failure. It connects the mechanics of vibration to the sound we hear.

Q: How do I choose the right physics for my simulation analysis?

A: The choice depends on the dominant physical effects in your problem. Start by defining the primary question: Is it about strength or deformation? (Use solid mechanics). Is it about fluid flow or pressure? (Use fluid dynamics). Does it involve heat? (Use thermodynamics). Often, problems are coupled, like a heated component deforming (thermo-mechanical) or fluid causing a structure to vibrate (fluid-structure interaction). Modern multi-physics simulation platforms like COMSOL or Ansys Multiphysics guide users in coupling these fundamental domains for a more realistic analysis.

Q: Can I perform accurate physics simulation without deep mathematical knowledge?

A: Modern CAE software has made simulation more accessible, but a conceptual understanding of the underlying physics and mathematics remains crucial for success. While you can set up a basic simulation with default settings, interpreting results, identifying errors (like unrealistic stress concentrations), and validating the model's accuracy require knowing what the software is calculating. For instance, recognizing when a result violates a fundamental law of conservation of energy is key to trustworthy analysis. The software is a powerful tool, but the engineer's knowledge of the fundamentals provides the essential judgment.