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31 lines
1.2 KiB
Markdown
31 lines
1.2 KiB
Markdown
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# SIM\_cannon\_numeric
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---
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This is the second in a series example cannon ball simulations that one builds in the Trick Tutorial (Sections 9, 10). It's purpose is to introduce Trick supported numerical methods.
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Rather than using the analytic solutions of SIM\_cannon\_analytic, this simulation uses Trick's numerical integration, and root-finding methods to:
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* Determine the cannon ball state (velocity, position) at each time step, and
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* Determine when and where the cannon ball impacts the ground.
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The simulation is otherwise the same as SIM\_cannon\_analytic.
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## Parameterization
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Same as in SIM\_cannon\_analytic.
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## Initialization
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Same as in SIM\_cannon\_analytic.
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## State Propagation
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This Trick simulation calculates the cannonball state by numerical integration.
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Acceleration is calculated in the "derivative" job **cannon\_deriv**. It is then
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used in "integration" job **cannon\_integ** to calculate the cannonball's velocity and
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position, using the Trick **integrate** function.
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## When and Where the Ball Impacts the Ground
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The time and position of impact is determined by the "dynamic\_event" event job
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**cannon\_impact**, using the Trick **regula_falsi** function.
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