PDE
===

1D PDE block



Block Screenshot
~~~~~~~~~~~~~~~~





Contents
~~~~~~~~


+ `1D PDE block`_
  +

    + `Palette`_
    + `Description`_
    + `Dialog box`_
    + `Default properties`_
    + `Interfacing function`_





Palette
~~~~~~~


+ `Demonstrations blocks palette`_




Description
~~~~~~~~~~~

This block is an implementation of several numerical schemes (Finite
Elements (1st and 2nd order), Finite Differences (1st and 2nd order),
Finite Volumes (1st order)) to solve mono dimensional PDE (Partial
Differential Equation) within SCICOS. The mathematical framework was
restricts in PDEs linear scalars with maximum order 2 in time and
space. The goal is to provide engineers and physicists with an easy to
use toolbox in SCICOS that will let them graphically describe the PDE
to be solved. A decision system selects the most efficient numerical
scheme depending on the type of the PDE and runs the solvers.



Dialog box
~~~~~~~~~~






+ **a et b** (double) The two edges of the discretization field.
+ **specification de l'EDP** check box to select the PDE operators.
  ai(x), bi(t) (i=1:7) are the operator coefficients. type of PDE
  discriminant (constant or variable, in the later case, the sign should
  be given)
+ **Discretization methode** choix (check box) : is the choice for the
  manual or the automatic mode. type : in the manual mode we can give
  the method type (Finite differences, finite elements or finite
  volumes). degré : method degre (1 or 2 for the FD and FE methods, 1
  for the FV method). Nombre de noeuds : to give the number of the nodal
  points.
+ **Conditions initiales** u(x,t0)=, du/dt at t0= : to give the
  initial conditions.
+ **Conditions aux limites** type : two type of the boundray
  conditions are possible : Dirichlet or Neumann. expressions : to give
  then boundray conditions expressions.
+ **Points de mesures** To give the list of mesurment points.
+ **Name** A getvalue box to give the block name's.




Default properties
~~~~~~~~~~~~~~~~~~


+ **always active:** yes
+ **direct-feedthrough:** no
+ **zero-crossing:** no
+ **mode:** no
+ **regular inputs:** **- port 1 : size [1,1] / type 1** **- port 2 :
  size [1,1] / type 0** **- port 3 : size [1,1] / type 0** **- port 4 :
  size [1,1] / type 0** **- port 5 : size [1,1] / type 1**
+ **regular outputs:** **- port 1 : size [10,1] / type 1** **- port 2
  : size [0,1] / type 1**
+ **number/sizes of activation inputs:** 0
+ **number/sizes of activation outputs:** 0
+ **continuous-time state:** yes
+ **discrete-time state:** no
+ **object discrete-time state:** no
+ **name of computational function:** PDE




Interfacing function
~~~~~~~~~~~~~~~~~~~~


+ SCI/modules/scicos_blocks/macros/PDE/PDE.sci


.. _1D PDE block: PDE.html
.. _Description: PDE.html#Description_PDE
.. _Palette: PDE.html#Palette_PDE
.. _Demonstrations blocks palette: Demonstrationsblocks_pal.html
.. _Default properties: PDE.html#Defaultproperties_PDE
.. _Dialog box: PDE.html#Dialogbox_PDE
.. _Interfacing function: PDE.html#Interfacingfunction_PDE