Theorie of the Finite Elemente-Methode |
Application in practice |
(1) Discretization of the model area into a finite number of finite elements. |
Development of a FE-net with river tube and floodplain under consideration of the topographie and the classification of roughness |
(2) Derivation of the weighted residual integral or the weak form of the differential equation to investigate and implementation of the finite element approach for the respective equations. |
internal program process |
(3) Combining the elements in a global, algebraic system of equations. |
internal program process |
(4a) Applying boundary and initial conditions to the system of equations. |
Involvment and approach of all hydrodynamic boundary conditions ( water level-, runoff-hydrograph, W-Q- relations) Choice of a suitable mathematical start solution (lake solution or completely dry) |
(4b) Merging area-specific parameters (roughness, eddy viscosity/ turbulence viscosity, fall dry, re-wetting) |
Election and levying of all necessary hydraulic parameters. Adjustment within the calibration and /or sensitivity analysis |
(5) Solving of the system of equations. |
internal program process, Monitoring of intermediate results |
(6) Verification, visualizing and validation of the solution |
Monitoring, evaluation, visualization (!) and review of the solution. Visualization of complex results. |