Description
Return a finite-volume source/flux residual.
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 a finite-volume source/flux residual.
When to use this tool
Use Mesh Cell Flux Residual when checking one explicitly supplied integration, flux or lattice-population contribution.
How to use the tool and how it works
- Enter outwardFaceFluxes, sourceRate, cellVolume. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read netOutwardFlux, sourceIntegrated, residual. Use the output convention below.
Return a finite-volume source/flux residual. Require cellVolume > 0; netOutwardFlux = sum(outwardFaceFluxes), sourceIntegrated = sourceRate*volume, residual = outward-source.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| outwardFaceFluxes | Outward Face Fluxes | Required. Array of finite number; maximum items 256. |
| sourceRate | Source Rate | Required. Finite number. |
| cellVolume | Cell Volume | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| netOutwardFlux | Net Outward Flux | Required. Finite number. |
| sourceIntegrated | Source Integrated | Required. Finite number. |
| residual | Signed difference in the direction stated above, with matching units. | Required. Finite number. |
{
"input": {
"outwardFaceFluxes": [
2,
-1,
3
],
"sourceRate": 0.5,
"cellVolume": 6
},
"output": {
"netOutwardFlux": 4,
"sourceIntegrated": 3,
"residual": 1
}
}Limitations and assumptions
- Face fluxes must already be integrated and consistently outward-signed; geometry and conservation of a complete mesh are not verified.
- 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
- Riemann Flux Supplied Wave Speed Factor
Return a local Lax-Friedrichs/Rusanov-style numerical flux.
- Periodic Boundary Face Orientation
Map a face flux between supplied orientations.