emep | R Documentation |
The problem is a stiff system of 66 ordinary differential equations. The 'Mathematics and the Environment' project group at CWI contributed this problem to the test set. The software part of the problem is in the file emep.f available at [MM08].
emep (times = seq(14400, 417600, by = 400), yini = NULL,
parms = list(), printmescd = TRUE, method = bimd,
atol = 0.1, rtol = 1e-5, maxsteps = 1e5, ...)
yini |
the initial (state) values for the DE system. If |
times |
time sequence for which output is wanted; the first
value of |
parms |
list of parameters that overrule the default parameter values |
rtol |
relative error tolerance, either a scalar or a vector, one value for each y, |
atol |
absolute error tolerance, either a scalar or a vector, one value for each y. |
method |
the solver to use |
printmescd |
if TRUE the mixed error significant digits computed using the reference solution at time 417600 are printed |
maxsteps |
maximal number of steps per output interval taken by the solver |
... |
additional arguments passed to the solver . |
The default parameters are:
c = 1.6e-8 , cs = 2e-12 , cp = 1e-8 , r = 25e3 , rp = 50, lh = 4.45 , ls1 = 2e-3 , ls2 = 5e-4 , ls3 = 5e-4, rg1 = 36.3 , rg2 = 17.3 , rg3 = 17.3 , ri = 50 , rc = 600, gamma = 40.67286402e-9 , delta = 17.7493332
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 <karline.soetaert@nioz.nl>
Francesca Mazzia <mazzia@dm.uniba.it>
http://archimede.dm.uniba.it/~testset
[MM08] F. Mazzia and C. Magherini. Test Set for Initial Value Problem Solvers, release 2.4. Department of Mathematics, University of Bari and INdAM, Research Unit of Bari, February 2008.
[SASJ93] D. Simpson, Y. Andersson-Skold, and M.E. Jenkin. Updating the chemical scheme for the EMEP MSC-W model: Current status. Report EMEP MSC-W Note 2/93, The Norwegian Meteorological Institute, Oslo, 1993.
[Sim93] D. Simpson. Photochemical model calculations over Europe for two extended summer periods: 1985 and 1989. model results and comparisons with observations. Atmospheric Environment, 27A:921-943, 1993.
[VS94] J.G. Verwer and D. Simpson. Explicit methods for stiff ODEs from atmospheric chemistry. Report NM-R9409, CWI, Amsterdam, 1994.
out <- emep()
plot(out, lwd = 2, col = "darkblue",
which = c("NO", "NO2", "SO2", "CH4", "O3", "N2O5"))
plot(out, col = "darkblue", lwd = 2, which = 1:16)
mtext(side = 3,line = -1.5, "emep", cex = 1.25, outer = TRUE)
# compare with reference solution (component 36 and 38 not included)
refsol <- reference("emep")
inderr <- c(1:35,37,39:66)
max(abs(out[nrow(out),inderr+1] - refsol[inderr])/refsol[inderr])
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