Description Usage Arguments Details Value Author(s) References Examples

The tube problem describes the water flow through a tube system, taking into account turbulence and the roughness of the tube walls.

It is an index 2 system of 49 non-linear Differential-Algebraic Equations.

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`yini ` |
the initial (state) values for the DE system. If |

`dyini ` |
the initial derivatives of the state variables of the DE system. |

`times ` |
time sequence for which output is wanted; the first
value of |

`parms ` |
list of parameters that overrule the default parameter values |

`method ` |
the solver to use; only |

`maxsteps ` |
maximal number of steps per output interval taken by the solver |

`atol ` |
absolute error tolerance, either a scalar or a vector, one value for each y. |

`rtol ` |
relative error tolerance, either a scalar or a vector, one value for each y, |

`printmescd ` |
if TRUE the mixed error significant digits computed using the reference solution at time 1e13 are printed |

`... ` |
additional arguments passed to the solver . |

parameter <- c(nu = 1.31e-6, g = 9.8, rho = 1.0e3, rcrit = 2.3e3, length= 1.0e3, k = 2.0e-4, d= 1.0e0, b = 2.0e2)

A matrix of class `deSolve`

with up to as many rows as elements in
`times`

and as many
columns as elements in `yini`

, plus an additional column (the first)
for the time value.

There will be one row for each element in `times`

unless the
solver returns with an unrecoverable error. If
`yini`

has a names attribute, it will be used to label the columns
of the output value.

Karline Soetaert <[email protected]>

Francesca Mazzia

http://www.dm.uniba.it/~testset

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