pw(igrid)%w : w - flow variables pws(igrid)%w : ws - staggered flow variables px(igrid)%x : x - spatial variables fC - flux, defined at cell edges t - time it - integer time counter r_ - R direction for polar or cylindrical symmetry phi_ - PHI direction for polar or cylindrical symmetry z_ - Z direction for polar or cylindrical symmetry zero - 0.D0 one - 1.D0 two - 2.D0 half - 0.5D0 quarter - 0.25D0 dpi - the value of pi (double precision) smalldouble -a small number above machine precision bigdouble -a very large number
dim - dimension or direction ^D - expands to 1,..,ndim ^ND - expands to the value of ndim dir - direction (of vector variables) ^C - expands to 1,..,ndir (Component) ^NC - expands to the value of ndir *min - minimum of * (expected, or actual) *max - maximum of * (expected, or actual) ^LIM - expands to min,max ^L - expands to min1,min2,min3,max1,max2,max3 ^S - expands to min1:max1,min2:max2,min3:max3 *lo - lowest value of * (enforced by array boundaries) *hi - highest value of * (enforced by array boundaries) ^LLIM - expands to lo,hi ^LL - expands to lo1,lo2,lo3,hi1,hi2,hi3 ^T - expands to lo1:hi1,lo2:hi2,lo3:hi3
i* - index for * h* - i*-1 Previous index j* - i*+1 Next index n* - number of *. Usually refers to an index i*=1..n*. d* - difference of *, derivative of * grad* - spatial derivative of * l* - limited value *C - add 1/2 to spatial index/indices *CT - add 1/2 to temporal index *R - on the right *L - on the left *I - input (eg. ixI^L are the limits of useful part of input) *O - output (eg. ixO^L are the limits of useful part of output) *2 - on the power two, squared sqr* - square root of kr - Kronecker delta 3*3 tensor lvc - Levi-Civita 3*3*3 tensor ^LEN* - length of string for * q* - local variables to avoid name conflict with common ones special*- user defined subroutines and parameters *_ - indexname, integer parameters defined for legible code
G - grid (boundaries included) grid - grid (boundaries included) M - mesh (without boundary layers) mesh - mesh (without boundary layers) B - boundary dixB - boundary width volume - volume of mesh dvolume - volume of cell surface - surface of cell edge normal - normalized normal vector of cell surface
file - input/output files read - reading from parameter or data files save - writing into output files last - last occasion (e.g. for saving into file) *ini - file containing initial conditions *out - file containing full results head - header string in files name - names (e.g. filename, variables, w) wnames - names of all w variables (e.g. 'rho m1 m2') unit - units for open, close, read and write statements unitterm- standard output
type* - types (e.g. boundary, flow variables) par - parameters eq - equation fix - fixing certain problems (e.g. divbfix) error - error quantification err - same as error courant - Courant condition step - step in multistep methods pred - predictor (or half) step full - full step advance - advancing from time t to t+dt advect - advecting in directions idimmin..idimmax advect1 - a single step of a multistep time integration in advect method - spatial discretization method
get* - subroutine names for getting values (e.g. getflux) add* - subroutine names for adding values (e.g. addsource)
For example the variable name
ditsave = d + i + t + saveis the difference in the indices of the times between saves into the output files, i.e. the frequency of saving snap shots measured in time steps. Another example:
ixGhi^D = i + x + G + hi + ^Dis the highest possible indices for the coordinates for the grid for each dimensions.