Assignment 6
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First-order transport equation and second-order diffusion equation
Reading assignment and Matlab exercises - Read the following documents:
On first-order transport equation - [Read these documents and try these exercises on your own]
- Read the chapters 4, 5, and 6, in Vreugdenhil, C.B., 1989
- Documentation and Scripts for Vreughdenhil's Chapter 4 (CompHydExII) - Numerical solutions
- Documentation and Scripts for Vreughdenhil's Chapter 5 - i (CompHydExIII) - Explicit methods
- Documentation and Scripts for Vreughdenhil's Chapter 5 - ii (CompHydExIV) - Leap-frog method
- Stability, Consistency, and Convergence of Numerical Schemes
- PDF file (compare amplification factor in page 7 with Vreughdenhil's eq. (4.16)
- Maple worksheet - Learn more about Maple here
Characteristics method for Pure Advection - [Read these documents and try these exercises on your own]
- Characteristics method for pure advection - The Holly-Preissmann approach
- Online references on Holly-Preissmann and pure advection (optional reading)
- Comparative study of numerical schemes used for one-dimensional transport modelling (pdf file, Gadjos, 1998)
- Numerical Simulation of Unsteady Mobile-bed Hydrodynamics and Contaminant Transport in River Systems (web page)
- Equivalent Differential Equations in Fixed-Grid Characteristics Method (Civil Engineering Data base)
- Interactive Explicit Simulation of 1D Surges and Dam-Break Flow (abstract - International Journal of Numerical Methods in Fluids)
- Unsteady Dispersion of Non-conservative Pollutants in Natural Rivers (Yoo et al.)
- An improved second-moment method for solution of pure-advection problems (Ghods et al.)
Problems to solve
Click here to download a pdf document with the problems to solve Solve only problem [3] in assignment
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