Description
Apply one supplied force-time momentum kick.
Numerical physics calculations depend on discretization, index conventions, boundary conditions and model units. A local force kick is only part of an integration method, a stencil residual is not a solved field, and a one-sided power weight is not a spectral-density normalization. Floating-point resolution also limits grid and coordinate representations.
Apply one supplied force-time momentum kick.
When to use this tool
Use Symplectic Euler Single Momentum Kick when you already have oldMomentum, suppliedForce, timeStep and need to apply one supplied force-time momentum kick.
How to use the tool and how it works
- Enter oldMomentum, suppliedForce, timeStep. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read newMomentum. Use the output convention below.
Require timeStep positive/finite; return oldMomentum+suppliedForce*timeStep.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| oldMomentum | Old Momentum | Required. Finite number. |
| suppliedForce | Supplied Force | Required. Finite number. |
| timeStep | Time Step | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| newMomentum | oldMomentum+suppliedForce*timeStep; a force kick only, without a position update. | Required. Finite number. |
{
"input": {
"oldMomentum": 3,
"suppliedForce": 2,
"timeStep": 0.5
},
"output": {
"newMomentum": 4
}
}Limitations and assumptions
- Force is supplied at the caller's chosen evaluation state. This is not a complete symplectic Euler integrator, position update, force model or guarantee of symplectic/stable dynamics.
- 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 the complete discretized model, integration algorithm and boundary treatment. Assess convergence, conservation and stability with the full calculation; individual residuals, CFL components, relaxation terms and index mappings do not establish numerical accuracy or physical validity.
References
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