How do I simulate a rooftop solar array?

Open this page and use the live Nozzle & Jet tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a rooftop solar array from your own measurements.

Use case · powered by Nozzle & Jet

Nozzle & Jet for a rooftop solar array

Simulate a rooftop solar array live in your browser. This runs the real Nozzle & Jet solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Fluid

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2D Fluid (CFD) StudioLive

Stam stable-fluids · Navier–Stokes

Controls

Speed1×

Click and drag on the canvas to inject dye and velocity.

Presets

Viscosity

Injection force

Dye amount

▶ Run in Python

Data Inspector

Grid96×96

Total dye0

Mean speed0.000

Max speed0.000

Enstrophy0.00e+0

Governing equation

\frac{\partial u}{\partial t} + (u \cdot \nabla) u = - \frac{\nabla p}{ρ} + 1.0 e - 7 \nabla^{2} u, \nabla \cdot u = 0

Reading this result: Near-zero viscosity: momentum barely dissipates, so vortices persist and the flow tips into turbulent, chaotic mixing.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Mach Cone

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Mach Cone & Sonic BoomLive

supersonic shock geometry

Controls

Presets

Mach number

Below the speed of sound, pressure waves race ahead of an aircraft. At and above Mach 1 the aircraft outruns its own sound, and the waves pile into a cone-shaped shock — the sonic boom. The faster it flies, the more sharply swept the Mach cone: its half-angle is arcsin(1/M). This geometry governs supersonic and hypersonic vehicle design.

▶ Run in Python

Data Inspector

Mach2.0

Regimesupersonic

Cone half-angle30.0°

Governing equation

μ = arcsin \frac{1}{M} = arcsin \frac{a}{v} = arcsin \frac{1}{2.0} = 30. 0^{\circ}

Reading this result: At Mach 2.0 the half-angle is arcsin(1/M) = 30.0° — faster flight sweeps the Mach cone tighter around the flight path.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Rocket

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Rocket Equation (Tsiolkovsky)Live

Δv = g·Isp·ln(m₀/m_f)

Delta-v budget

5524 m/s

LEO (Earth orbit)

59%

Moon transfer

44%

Mars transfer

42%

Escape Earth

49%

Controls

The equation that rules spaceflight. Your Δv budget depends only on exhaust velocity and the ratio of full-to-empty mass — and it's brutally logarithmic.

Presets

Wet mass m₀ (t)

Dry mass m_f (t)

Specific impulse Isp (s)

▶ Run in Python

Data Inspector

Δv5524 m/s

Mass ratio5.00

Propellant400 t

Exhaust vel.3432 m/s

Governing equation

Δ v = v_{e} ln \frac{m _{0}}{m _{f}} = 3432 ln \frac{500}{100} = 5524 m/s

Reading this result: At 5524 m/s this stage cannot reach orbit; since Δv grows only with the log of mass ratio, big gains need a much emptier tank or higher Isp.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Nozzle & Jet tool models a rooftop solar array with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Nozzle & Jet

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Frequently asked questions

How do I simulate a rooftop solar array?: Open this page and use the live Nozzle & Jet tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a rooftop solar array from your own measurements.