Description
Return one position-Verlet update.
A simulation update combines supplied states, fluxes, forces and time conventions. Local integration and interface terms can be evaluated independently, while a full solver must also supply consistent fields, boundary conditions, conservation and convergence behavior.
Return one position-Verlet update.
When to use this tool
Use Verlet One Position Step when checking one explicitly supplied integration, flux or lattice-population contribution.
How to use the tool and how it works
- Enter currentPosition, previousPosition, acceleration, step. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read nextPosition. Use the output convention below.
Return one position-Verlet update. Require step > 0; nextPosition = 2*currentPosition-previousPosition+acceleration*step².1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| currentPosition | Current Position | Required. Finite number. |
| previousPosition | Previous Position | Required. Finite number. |
| acceleration | Acceleration | Required. Finite number. |
| step | Step duration or increment under the stated convention. | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| nextPosition | Next Position | Required. Finite number. |
{
"input": {
"currentPosition": 2,
"previousPosition": 1,
"acceleration": 3,
"step": 0.5
},
"output": {
"nextPosition": 3.75
}
}Limitations and assumptions
- Acceleration is supplied at the step's stated state; this is not a full simulation or a stability/accuracy guarantee.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use and validate the complete numerical method with its state initialization, boundary conditions and physical model for a reliable simulation.
References
Similar or alternative tools
- Verlet Position Residual
Compare a recorded position with a Verlet step.
- Leapfrog Half Step Velocity Offset
Return leapfrog velocities at neighboring half steps.