Description
Return one pressure-gradient velocity correction.
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 pressure-gradient velocity correction.
When to use this tool
Use Pressure Projection One Gradient Term when checking one explicitly supplied integration, flux or lattice-population contribution.
How to use the tool and how it works
- Enter predictedVelocity, pressureGradient, density, step. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read correction, projectedVelocity. Use the output convention below.
Return one pressure-gradient velocity correction. Require density > 0 and step >= 0; correction = -step*pressureGradient/density, projectedVelocity = predictedVelocity+correction.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| predictedVelocity | Predicted Velocity | Required. Finite number. |
| pressureGradient | Pressure Gradient | Required. Finite number. |
| density | Density on the same physical and unit basis as the supplied reference or component; see the formula above. | Required. Finite number; strictly above 0. |
| step | Step duration or increment under the stated convention. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| correction | Correction | Required. Finite number. |
| projectedVelocity | Projected Velocity | Required. Finite number. |
{
"input": {
"predictedVelocity": 3,
"pressureGradient": 4,
"density": 2,
"step": 0.5
},
"output": {
"correction": -1,
"projectedVelocity": 2
}
}Limitations and assumptions
- Units must produce velocity; no pressure equation, divergence-free projection or boundary condition is solved.
- 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
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