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- Created by Unknown User (reynard.juanir), last modified by Abraham Toribio on Jun 22, 2020

**A common point of discussion** in the comparison of hydraulic models is explicit time weighting versus implicit time weighting. The meaning of explicit and implicit, and the and time step symbols are summarised in the tables below.

Explicit and Implicit Time Weighting and Time Weight Parameters | |
---|---|

Explicit: = 0.0 | Only values from the previous time-step are used in the solution |

Implicit: = 0.5 | The average of the old and new time-step values for R, V and A are used to solve for |

Implicit: > 0.5 | A weighted average of old and new time-step values are used in the simulation. Typical values of q are 0.55 to 0.85 |

Fully Implicit: = 1.0 | Only values from the new time-step are used in the solution |

Time step and Iteration Symbols | |
---|---|

N | Last time-step value at time t and first estimate of N + ½ |

N+1/2 | Last iteration value estimate for time |

N+1 | New time-step value at time |

As an example of using the time weighting parameter **, consider the calculation of the gradient head term in the dynamic flow equation:**

** Equation 20**:

- Partial Differential Equations
- Finite Difference Equations
- Implicit Time Weighting
- Significant Differences between EXTRAN Versions 3, 4 and 5
- Finite Difference Solution
- Convergence in EXTRAN
- Automatic Time Step Selection
- Special Conduit Flow Conditions
- Flow and Head Computation during Surcharge and Flooding
- Ground and Invert Elevations
- Flow Control or Diversion Devices
- Storage Devices, Ponds, and Lakes
- Orifices
- Weirs
- Weirs with Tide Gates
- Pump Stations
- Outfall Structures
- Boundary Conditions
- Initial Conditions
- Pit or Junction Losses
- Oscillations during a Hydraulic Jump
- Irregular Closed Conduits
- Irregular Open Channels
- Kinematic and Diffusion Wave Equations
- Special Finite Difference Approximations
- Conduit Depth Calculations