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CE 498/698 and ERS 685 (Spring 2004) Lecture 131 Lecture 13: Advanced Time- Variable Solutions CE 498/698 and ERS 685 Principles of Water Quality Modeling.

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Presentation on theme: "CE 498/698 and ERS 685 (Spring 2004) Lecture 131 Lecture 13: Advanced Time- Variable Solutions CE 498/698 and ERS 685 Principles of Water Quality Modeling."— Presentation transcript:

1 CE 498/698 and ERS 685 (Spring 2004) Lecture 131 Lecture 13: Advanced Time- Variable Solutions CE 498/698 and ERS 685 Principles of Water Quality Modeling

2 CE 498/698 and ERS 685 (Spring 2004) Lecture 132 Advanced time-variable solutions –Implicit approaches >1 unknown in ea. eqn. only 1 unknown in ea. eqn. –Explicit approaches

3 CE 498/698 and ERS 685 (Spring 2004) Lecture 133 Advanced time-variable solutions –Implicit approaches –Explicit approaches derivation of methods not covered in this class know for this class Table 13.1

4 CE 498/698 and ERS 685 (Spring 2004) Lecture 134 Recall from Lecture 12 Constraints: Numerical dispersion: Stability: Finite difference approaches: FTCS FTBS explicit methods

5 CE 498/698 and ERS 685 (Spring 2004) Lecture 135 Explicit method –MacCormack – CTCS Implicit methods –BTCS –Crank-Nicholson

6 CE 498/698 and ERS 685 (Spring 2004) Lecture 136 DifficultNone Crank- Nicholson DifficultBTCS ModerateConditional (more liberal)None MacCormack CTCS EasyFTCS EasyFTBS Implemen- tation Ease Stability Numerical dispersion Method Table 13.1 error in book!


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