- it seems that when we compare side derivatives for interpolated
states to zero, there are some problems with symmetry; using a small
value 'eps' instead of 0.0 solves this problem;
- in order to find the boundary value for normal magnetic field
component we use the divergence free condition, i.e., we need to
calculate normal direvatived perpendicular components; now we used
the derivative calculation with the proper limiting in order to keep
the consistency of the scheme;
- in the interpolation module the new function has been added returning
the limited derivative;
- implement the monotonicity preserving family of reconstruction; the
implementation covers the 5th, 7th and 9th order spacial MP
reconstruction;
- implement two new functions used by the MP reconstructions, minmod()
and median();
- pass the spacial increment to the reconstruction subroutine since
some interpolation methods require it; in addition, move obtaining
the spacial interval and its inversion to the subroutine update();
- remove subroutines magtocen(), expand_mag(), expand_mag_bnd() since
these subroutines are not used anymore; they are required in the case
of use of the magnetic field described on the staggered mesh;
VARIABLES
- create new module 'variables' which stores references to variable
indices; we gonna store dofferent objects related to variables in
this module;
INTERPOLATION
- add subroutine expand_tvd() to prolongate a multidimensional array
using the second-order TVD interpolation (subroutine
expand_1d_tvd());
BOUNDARY CONDITIONS
- rewrite the subroutine bnd_prol() in order to minimize the size of
interpolated arrays and use the subroutine expand_tvd();
INTERPOLATION
- add subroutine expand_1d_tvd to 1D TVD prolongation;
- implement magnetic field boundary prolongation with a given boundary;
this is used for boundary update of magnetic components in a block at
higher level, where the boundary is updated from the block at lower
level; the prolongation is divergence free; for now only 2D case is
implemented;
BOUNDARY CONDITIONS
- use the boundary prolongation subroutine expand_mag_bnd in the
updating the magnetic field boundaries in a blocks which neighbors
are at lower level; this should be ready for 3D too;
INTERPOLATION
- add a new subroutine divergence() calculating the divergence of a
vector field;
IO
- utilize a new subroutine divergence() in calculation of the
divergence of staggered magnetic field;
BOUNDARY CONDITIONS
- remove the third argument from all calls of the subroutine shrink();
INTERPOLATION
- remove ng argument from subroutines shrink() and shrink_1d();
- small fixes to subroutine magtocen() in the divergence free
correction calculation;
MESH
- fix index calculation and remove the third argument from calling the
subroutine shrink();
BOUNDARY CONDITIONS
- update boundary conditions starting from the block with the maximum
refinement level and stepping down; this fixes update of the
boundary conditions in the corners;
INTERPOLATION
- fix divergence free prolongation of the staggered magnetic field;
BOUNDARY CONDITIONS
- rewrite subroutine bnd_prol() and use expand_mag() in it;
- fix some index calculations in bnd_rest();
INTERPOLATION
- implement new subroutine expand_mag() performing divergence-free
prolongation of the staggered magnetic field;
- implement divergence-free correction in interpolation of cell
centered magnetic field in subroutine magtocen();
MESH
- use new subroutine expand_mag() in block prolongation;
BOUNDARY CONDITIONS
- use TVD interpolation for prolongation of the boundary conditions
CONFIGURATION
- put lower limit for the number of ghost and domain cells
HOST FILES
- host files should not be included in the revision control
INTERPOLATION
- define all arrays as REAL, not REAL(KIND=8) since the precision of
calculations is determined at the compilation stage
- replace j0 and j1 indices with new more obvious il and ir
MESH
- update mesh before calculating new time step
BOUNDARY CONDITIONS
- rewrite bnd_copy() so first the indices are prepared and then there
is one call to fill out the destination array; include the lower
index change for staggered magnetic field components;
- in the subroutine bnd_rest() implement correct restriction of the
staggered magnetic field components; take into account the change
of the lower index;
- in the subroutine bnd_prol() implement correct prolongation of the
staggered magnetic field components; take into account the change of
the lowe index;
- by default use 2 ghost cell and the restriction and expansion to
prevent errors resulting from interpolation;
CONFIGURATION
- enforce a lower limit for number of ghost zones to 6 when MHD=Y and
4 otherwise
INTERPOLATION
- remove unnecessary interpolation methods
- limit 'c' interpolation to the second order only
MESH
- implement divergence-free prolongation and restriction for the
staggered magnetic field components in the block refinement and
derefinement
SCHEME
- implement Flux-CT scheme for the staggered magnetic field
integration;
BLOCK STRUCTURE
- use more space efficient storage of the variables, which means
storing only staggered components of magnetic field; cell-centered
components are calculated only when necessary;
EVOLUTION
- remove loops in the field updates; operations are performed on the
arrays;
BOUNDARY CONDITIONS
- remove loops in the bnd_copy; operations are calculated on the whole
array now;
INTERPOLATION
- subroutine magtocen() has been rewritten to avoid problems with the
array allocation; now as an argument we enter the array of all
variables; subroutine uses indices for the face-centered and
cell-centered magnetic field components internally;
MAKE
- add flag defining Flux-CT scheme;
PROBLEM
- use predefined array variables instead of allocated;
Rewritten boundaries allow for a proper handling boundaries between
blocks at different refinement levels. Prolongation and restriction of
the boundaries are improved now.
Rewritten interpolation for prolongation and restriction.
References to the variable indices are assigned more properly.
VARIABLES
- add indices for the magnetic field components, both face and cell
centered
SOLVER, MHD
- add support for the magnetohydrodynamic (MHD) equations to the
subroutines cons2prim(), prim2cons()
- add MHD flux and the fastest speed calculation in the subroutine
fluxspeed()
- include magnetosonic speed in the calculation of the maximum speed in
the system required for estimation of the new time step
- extend the HLL solver in subroutine hll() to support MHD
- calculate the magnetic field update according to a CT scheme in the
subroutine update()
INTERPOLATION
- add subroutine magtocen() to interpolate cell centered magnetic field
EVOLUTION
- add evolution of the magnetic field components in the evolve_euler()
and evolve_rk2() time integration subroutines
- also call the subroutine magtocen() in the right places
BOUNDARY CONDITIONS
- support for magnetic field boundary update only in the case of blocks
with the same level so far; later we need to include proper
restriction and prolongation for the magnetic field to keep its
divergence equal zero
PROBLEMS, BLAST
- extend the blast problem to include the initial magnetic field
IO, HDF5
- write down in a HDF5 file magnetic field components
It looks like the refining and derefining work more or less, at least
without interrupting the execution. Nevertheless, there are still some
artifacts, like the lack of symmetry after some time or not efficient
derefining of the mesh. This could be cause by the solver, however.
The refinement criterion is computed using pressure now.
Now all block update their boundary values from the neighboring blocks.
Blocks of the same level copy their values, but block of different
levels shrink or expand the boundary values from the neighbor,
depending on the level change. In order to complete this I've
implemented subroutines expand and interpolate in the interpolation
module.
By default the boundary conditions are set to periodic. So far only this
type of conditions is supported, but the other types should be easy to
implement.
This new module contains subroutines used to different kind of
interpolation. So far it is implemented only one subroutine used for
reconstruction of the left and right states from center values. This
interpolation has TVD property.
