Description
Return leapfrog velocities at neighboring half steps.
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 leapfrog velocities at neighboring half steps.
When to use this tool
Use Leapfrog Half Step Velocity Offset when checking one explicitly supplied integration, flux or lattice-population contribution.
How to use the tool and how it works
- Enter centerVelocity, 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 previousHalfVelocity, nextHalfVelocity. Use the output convention below.
Return leapfrog velocities at neighboring half steps. Require step > 0; previousHalfVelocity = centerVelocity-acceleration*step/2, nextHalfVelocity adds that increment.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| centerVelocity | Center Velocity | 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 |
|---|---|---|
| previousHalfVelocity | Previous Half Velocity | Required. Finite number. |
| nextHalfVelocity | Next Half Velocity | Required. Finite number. |
{
"input": {
"centerVelocity": 3,
"acceleration": 2,
"step": 0.5
},
"output": {
"previousHalfVelocity": 2.5,
"nextHalfVelocity": 3.5
}
}Limitations and assumptions
- This assumes the supplied centered acceleration and time convention; no full leapfrog integration or error estimate is performed.
- 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
- Molecular Dynamics Half Kick One Axis
Return one molecular-dynamics half kick.
- Energy Drift Per Step
Return total energy drift and average drift per step.