modelPoissonEquation

Information

Poisson equation

The poisson problem

is a time independent problem. In order to be handled from the integrator block, this problem is transformed into a time dependent problem

with initial condition

The solution of the time dependent problem approaches with time the solution of the time independent problem.
The analytical solution of this problem is implemented in PAN block.

Release Notes:

    Components

    TypeNameDefaultDescription
    World.worldModelworldModel1
    Integrator.UniversalIntegratorPoisson
    SpaceDerivative.Derivatives.u_xxu_xx
    Modelica.Blocks.Math.Add[worldModel1.n]add
    Modelica.Blocks.Sources.RealExpressionBCL
    Modelica.Blocks.Sources.RealExpressionBCR
    PICpIC
    PANpAN
    Modelica.Blocks.Sources.Constant[worldModel1.n]const
    Modelica.Blocks.Sources.IntegerExpression[worldModel1.n]one
    Modelica.Blocks.Math.Add[worldModel1.n]add1
    Modelica.Blocks.Math.Product[worldModel1.n]product
    Modelica.Blocks.Sources.RealExpression[worldModel1.n]pi
    Modelica.Blocks.Math.Division[worldModel1.n]division
    Modelica.Blocks.Sources.RealExpression[worldModel1.n]deltax
    Modelica.Blocks.Math.Sin[worldModel1.n]sin