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This equation calculate viscous fluid flows using the [https://en.wikipedia.org/wiki/Navier-Stokes_Equations Navier-Stokes equations].
To równanie analizuje przepływ płynów lepkich przy pomocy [https://pl.wikipedia.org/wiki/R%C3%B3wnania_Naviera-Stokesa równań Naviera-Stokes'a].


For info about the math of the equation, see the [http://www.elmerfem.org/blog/documentation/ Elmer models manual], section ''Navier-Stokes Equations''.
For info about the math of the equation, see the [http://www.elmerfem.org/blog/documentation/ Elmer models manual], section ''Navier-Stokes Equations''.

Revision as of 13:08, 22 November 2023

MES: Równanie przepływu

Lokalizacja w menu
Rozwiąż → Równanie przepływu
Środowisko pracy
MES
Domyślny skrót
brak
Wprowadzono w wersji
0.17
Zobacz także
brak

To równanie analizuje przepływ płynów lepkich przy pomocy równań Naviera-Stokes'a.

For info about the math of the equation, see the Elmer models manual, section Navier-Stokes Equations.

Usage

  1. After adding an Elmer solver as described here, select it in the tree view.
  2. Now either use the toolbar button or the menu Solve → Flow equation.
  3. Change the equation's solver settings or the general solver settings if necessary.

Solver Settings

For the general solver settings, see the Elmer solver settings.

The flow equation provides these special settings:

  • DANEDiv Discretization: To be set to true for incompressible flow for more stable discretization when the Reynolds number increases.
  • DANEFlow Model: The flow model that should be used. The default Full includes convection and time derivative terms in the model. No convection switches off the convection terms and the Stokes model switches off the convection terms and the (explicit) time derivative terms.
  • DANEGradp Discretization: If set to true pressure Dirichlet boundary conditions can be used. Also the mass flux is available as a natural boundary condition.
  • DANEVariable: Optional only for calculations in 2D: You can change the default of 3 to 2.
    Note: In this case none of the flow velocity constraints can have a specified z-component.

Equation:

  • DANEConvection: The type of convection to be used in the Heat equation.
    Note: For thermal flows it must be set to Computed (the default).
  • DANEMagnetic Induction: If set to true the magnetic induction equation will be solved along with the Navier-Stokes equations.

Notes for Convergence

If the solver results do not converge, you can try these things (in the given order):

  1. Reduce the DANERelaxation Factor, see the nonlinear system settings.
  2. Increase the value for DANENonlinear Newton After Iterations, see the nonlinear system settings.
  3. Reduce the number of CPU cores used, see the FEM preferences.
  4. Increase the mesh density (make it more fine).

Analysis Feature Information

The flow equation takes the following analysis features into account if they are set:

Notes

  • Except for calculations in 2D, for all above constraints it is important that they act on a face or body. Constraints for 3D set to lines or vertices are not recognized by the Elmer solver.
  • Since Pressure load can only be set to faces, pressure loads cannot be used for calculations in 2D.
  • If there is no Pressure load set, Initial pressure condition will only be taken into account if DANEGradp Discretization is set to true.

Results

The results are the velocity in and the pressure in . If there is no Initial pressure condition and Pressure load given, the resulting pressure will be relative not absolute. Since pressure must act on a face, absolute pressure results cannot be obtained in 2D simulations.