Develop algorithms for explicit solution of kinematic eqtns

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Reference no: EM13313459

Develop algorithms for the explicit solution of the Kinematic Equations when applied to a problem of runoff from a plane surface subject to a steady rate of rainfall excess. Use forward differences in the time (t) direction and backward differences in the x direction.

The initial and boundary conditions are:

- Initial condition (t=0): q=0 and y=0 for all x

- Upstream boundary (x=0): q=0 for all t

- Downstream boundary (x=L): S0=Sf

Develop the equations for the solution q, v, y as follows:

(a) In the main body of the x-t solution space using central differences.

(b) At the upstream boundary using forward differences for the spatially variant terms.

Reference no: EM13313459

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