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continuityError

Description

The continuityError function object computes local, global and cumulative continuity errors for a flux field.

Local continuity error, ϵlocal\epsilon_\text{local}:

ϵlocal=Δtx \epsilon_\text{local} = \Delta_t \langle |x| \rangle

Global continuity error, ϵglobal\epsilon_\text{global}:

ϵglobal=Δtx \epsilon_\text{global} = \Delta_t \langle |x| \rangle

Cumulative continuity, ϵcum\epsilon_\text{cum}:

ϵcum+=ϵglobal \epsilon_\text{cum} += \epsilon_\text{global}

where Δt\Delta_t : Time-step size

<.><.> : Cell-volume weighted average operator

xx : ϕ\nabla \cdot \phi

ϕ\phi : Flux field

Operands

OperandTypeLocation
input--
output filedat$FOAM_CASE/postProcessing/<FO>/<time>/<file>
output field--

Usage

Example of the continuityError function object by using functions sub-dictionary in system/controlDict file:

continuityError1
{
// Mandatory entries (unmodifiable)
type continuityError;
libs (fieldFunctionObjects);

// Optional entries (runtime modifiable)
phi phi;

// Optional (inherited) entries
writePrecision 8;
writeToFile true;
useUserTime true;
region region0;
enabled true;
log true;
timeStart 0;
timeEnd 1000;
executeControl timeStep;
executeInterval 1;
writeControl timeStep;
writeInterval 1;
}

where the entries mean:

PropertyDescriptionTypeRequiredDefault
typeType name: continuityErrorwordyes-
libsLibrary name: fieldFunctionObjectswordyes-
phiName of flux fieldwordnophi

The inherited entries are elaborated in:

Example by using the postProcess -func utility:

postProcess -func "continuityError(<field1>, <field2>, ..., <fieldN>)"

Stored properties

Reduced data

The following data are stored by the function object, and can be used by other function objects:

  • local : local continuity error
  • global : global continuity error
  • cumulative : cumulative continuity error

Further information

Tutorial:

Source code:

API:

History: Introduced in version v1906