1 / 6

Lecture 13: Advanced Time-Variable Solutions

Lecture 13: Advanced Time-Variable Solutions. CE 498/698 and ERS 685 Principles of Water Quality Modeling. Lecture 13. Advanced time-variable solutions Implicit approaches. >1 unknown in ea. eqn. Explicit approaches. only 1 unknown in ea. eqn. derivation of methods not covered in

duff
Download Presentation

Lecture 13: Advanced Time-Variable Solutions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lecture 13: Advanced Time-Variable Solutions CE 498/698 and ERS 685 Principles of Water Quality Modeling Lecture 13

  2. Lecture 13 • Advanced time-variable solutions • Implicit approaches >1 unknown in ea. eqn. • Explicit approaches only 1 unknown in ea. eqn. Lecture 13

  3. derivation of methods not covered in this class know for this class Lecture 13 • Advanced time-variable solutions • Implicit approaches • Explicit approaches • Table 13.1 Lecture 13

  4. Numerical dispersion: Stability: FTCS explicit methods FTBS Recall from Lecture 12 Constraints: Finite difference approaches: Lecture 13

  5. Lecture 13 • Explicit method • MacCormack – CTCS • Implicit methods • BTCS • Crank-Nicholson Lecture 13

  6. Method Numerical dispersion Stability Implemen-tation Ease FTBS Easy FTCS Easy MacCormack CTCS None Conditional (more liberal) Moderate error inbook! BTCS Difficult Crank-Nicholson None Difficult Table 13.1 Lecture 13

More Related