| 1 |
module eam |
| 2 |
use definitions, ONLY : DP,default_error |
| 3 |
use simulation |
| 4 |
use force_globals |
| 5 |
use status |
| 6 |
use atype_module |
| 7 |
#ifdef MPI |
| 8 |
use mpiSimulation |
| 9 |
#endif |
| 10 |
implicit none |
| 11 |
PRIVATE |
| 12 |
|
| 13 |
|
| 14 |
logical, save :: EAM_FF_initialized = .false. |
| 15 |
integer, save :: EAM_Mixing_Policy |
| 16 |
real(kind = dp), save :: EAM_rcut |
| 17 |
|
| 18 |
character(len = 200) :: errMsg |
| 19 |
character(len=*), parameter :: RoutineName = "EAM MODULE" |
| 20 |
logical :: cleanme = .true. |
| 21 |
|
| 22 |
|
| 23 |
|
| 24 |
type, private :: EAMtype |
| 25 |
integer :: eam_atype |
| 26 |
real( kind = DP ) :: eam_dr |
| 27 |
integer :: eam_nr |
| 28 |
integer :: eam_nrho |
| 29 |
real( kind = DP ) :: eam_lattice |
| 30 |
real( kind = DP ) :: eam_drho |
| 31 |
real( kind = DP ) :: eam_rcut |
| 32 |
integer :: eam_atype_map |
| 33 |
|
| 34 |
real( kind = DP ), pointer, dimension(:) :: eam_rvals => null() |
| 35 |
real( kind = DP ), pointer, dimension(:) :: eam_rhovals => null() |
| 36 |
real( kind = DP ), pointer, dimension(:) :: eam_F_rho => null() |
| 37 |
real( kind = DP ), pointer, dimension(:) :: eam_Z_r => null() |
| 38 |
real( kind = DP ), pointer, dimension(:) :: eam_rho_r => null() |
| 39 |
real( kind = DP ), pointer, dimension(:) :: eam_phi_r => null() |
| 40 |
real( kind = DP ), pointer, dimension(:) :: eam_F_rho_pp => null() |
| 41 |
real( kind = DP ), pointer, dimension(:) :: eam_Z_r_pp => null() |
| 42 |
real( kind = DP ), pointer, dimension(:) :: eam_rho_r_pp => null() |
| 43 |
real( kind = DP ), pointer, dimension(:) :: eam_phi_r_pp => null() |
| 44 |
end type EAMtype |
| 45 |
|
| 46 |
|
| 47 |
!! Arrays for derivatives used in force calculation |
| 48 |
real( kind = dp), dimension(:), allocatable :: frho |
| 49 |
real( kind = dp), dimension(:), allocatable :: rho |
| 50 |
|
| 51 |
real( kind = dp), dimension(:), allocatable :: dfrhodrho |
| 52 |
! real( kind = dp), dimension(:), allocatable :: d2frhodrhodrho |
| 53 |
|
| 54 |
|
| 55 |
!! Arrays for MPI storage |
| 56 |
#ifdef MPI |
| 57 |
real( kind = dp), dimension(:), allocatable :: dfrhodrho_col |
| 58 |
real( kind = dp), dimension(:), allocatable :: dfrhodrho_row |
| 59 |
real( kind = dp), dimension(:), allocatable :: frho_row |
| 60 |
real( kind = dp), dimension(:), allocatable :: frho_col |
| 61 |
real( kind = dp), dimension(:), allocatable :: rho_row |
| 62 |
real( kind = dp), dimension(:), allocatable :: rho_col |
| 63 |
|
| 64 |
#endif |
| 65 |
|
| 66 |
type, private :: EAMTypeList |
| 67 |
integer :: n_eam_types = 0 |
| 68 |
integer :: currentAddition = 0 |
| 69 |
|
| 70 |
type (EAMtype), pointer :: EAMParams(:) => null() |
| 71 |
end type EAMTypeList |
| 72 |
|
| 73 |
|
| 74 |
type (eamTypeList) :: EAMList |
| 75 |
|
| 76 |
!! standard eam stuff |
| 77 |
|
| 78 |
|
| 79 |
public :: init_EAM_FF |
| 80 |
! public :: EAM_new_rcut |
| 81 |
! public :: do_EAM_pair |
| 82 |
public :: newEAMtype |
| 83 |
|
| 84 |
|
| 85 |
|
| 86 |
contains |
| 87 |
|
| 88 |
|
| 89 |
subroutine newEAMtype(lattice_constant,eam_nrho,eam_drho,eam_nr,& |
| 90 |
eam_dr,rcut,eam_Z_r,eam_rho_r,eam_F_rho,& |
| 91 |
eam_ident,status) |
| 92 |
real (kind = dp ) :: lattice_constant |
| 93 |
integer :: eam_nrho |
| 94 |
real (kind = dp ) :: eam_drho |
| 95 |
integer :: eam_nr |
| 96 |
real (kind = dp ) :: eam_dr |
| 97 |
real (kind = dp ) :: rcut |
| 98 |
real (kind = dp ), dimension(eam_nr) :: eam_Z_r |
| 99 |
real (kind = dp ), dimension(eam_nr) :: eam_rho_r |
| 100 |
real (kind = dp ), dimension(eam_nrho) :: eam_F_rho |
| 101 |
integer :: eam_ident |
| 102 |
integer :: status |
| 103 |
|
| 104 |
integer :: nAtypes |
| 105 |
integer :: maxVals |
| 106 |
integer :: alloc_stat |
| 107 |
integer :: current |
| 108 |
integer,pointer :: Matchlist(:) => null() |
| 109 |
status = 0 |
| 110 |
|
| 111 |
!! Assume that atypes has already been set and get the total number of types in atypes |
| 112 |
!! Also assume that every member of atypes is a EAM model. |
| 113 |
|
| 114 |
|
| 115 |
! check to see if this is the first time into |
| 116 |
if (.not.associated(EAMList%EAMParams)) then |
| 117 |
call getMatchingElementList(atypes, "is_EAM", .true., nAtypes, MatchList) |
| 118 |
EAMList%n_eam_types = nAtypes |
| 119 |
allocate(EAMList%EAMParams(nAtypes)) |
| 120 |
end if |
| 121 |
|
| 122 |
EAMList%currentAddition = EAMList%currentAddition + 1 |
| 123 |
current = EAMList%currentAddition |
| 124 |
|
| 125 |
|
| 126 |
!call allocate_EAMType(eam_nrho,eam_nr,EAMList%EAMParams(current),stat=alloc_stat) |
| 127 |
if (alloc_stat /= 0) then |
| 128 |
status = -1 |
| 129 |
return |
| 130 |
end if |
| 131 |
|
| 132 |
|
| 133 |
! this is a possible bug, we assume a correspondence between the vector atypes and |
| 134 |
! EAMAtypes |
| 135 |
|
| 136 |
EAMList%EAMParams(current)%eam_atype = eam_ident |
| 137 |
EAMList%EAMParams(current)%eam_lattice = lattice_constant |
| 138 |
EAMList%EAMParams(current)%eam_nrho = eam_nrho |
| 139 |
EAMList%EAMParams(current)%eam_drho = eam_drho |
| 140 |
EAMList%EAMParams(current)%eam_nr = eam_nr |
| 141 |
EAMList%EAMParams(current)%eam_rcut = rcut |
| 142 |
EAMList%EAMParams(current)%eam_Z_r = eam_Z_r |
| 143 |
EAMList%EAMParams(current)%eam_rho_r = eam_rho_r |
| 144 |
EAMList%EAMParams(current)%eam_F_rho = eam_F_rho |
| 145 |
|
| 146 |
end subroutine newEAMtype |
| 147 |
|
| 148 |
|
| 149 |
|
| 150 |
subroutine init_EAM_FF(status) |
| 151 |
integer :: status |
| 152 |
integer :: i,j |
| 153 |
real(kind=dp) :: current_rcut_max |
| 154 |
integer :: alloc_stat |
| 155 |
integer :: number_r, number_rho |
| 156 |
|
| 157 |
do i = 1, EAMList%currentAddition |
| 158 |
|
| 159 |
EAMList%EAMParams(i)%eam_rvals(1:EAMList%EAMParams(i)%eam_nr) = & |
| 160 |
real(EAMList%EAMParams(i)%eam_nr,kind=dp)* & |
| 161 |
EAMList%EAMParams(i)%eam_dr |
| 162 |
|
| 163 |
EAMList%EAMParams(i)%eam_rhovals(1:EAMList%EAMParams(i)%eam_nrho) = & |
| 164 |
real(EAMList%EAMParams(i)%eam_nrho,kind=dp)* & |
| 165 |
EAMList%EAMParams(i)%eam_drho |
| 166 |
|
| 167 |
! convert from eV to kcal / mol: |
| 168 |
EAMList%EAMParams(i)%eam_F_rho = EAMList%EAMParams(i)%eam_F_rho * 23.06054E0_DP |
| 169 |
|
| 170 |
! precompute the pair potential and get it into kcal / mol: |
| 171 |
EAMList%EAMParams(i)%eam_phi_r = 0.0E0_DP |
| 172 |
do j = 2, EAMList%EAMParams(i)%eam_nr |
| 173 |
EAMList%EAMParams(i)%eam_phi_r(j) = (EAMList%EAMParams(i)%eam_Z_r(j)**2)/EAMList%EAMParams(i)%eam_rvals(j) |
| 174 |
EAMList%EAMParams(i)%eam_phi_r(j) = EAMList%EAMParams(i)%eam_phi_r(j)*331.999296E0_DP |
| 175 |
enddo |
| 176 |
end do |
| 177 |
|
| 178 |
do i = 1, EAMList%currentAddition |
| 179 |
number_r = EAMList%EAMParams(i)%eam_nr |
| 180 |
number_rho = EAMList%EAMParams(i)%eam_nrho |
| 181 |
|
| 182 |
call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
| 183 |
EAMList%EAMParams(i)%eam_rho_r, & |
| 184 |
EAMList%EAMParams(i)%eam_rho_r_pp, & |
| 185 |
0.0E0_DP, 0.0E0_DP, 'N') |
| 186 |
call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
| 187 |
EAMList%EAMParams(i)%eam_Z_r, & |
| 188 |
EAMList%EAMParams(i)%eam_Z_r_pp, & |
| 189 |
0.0E0_DP, 0.0E0_DP, 'N') |
| 190 |
call eam_spline(number_rho, EAMList%EAMParams(i)%eam_rhovals, & |
| 191 |
EAMList%EAMParams(i)%eam_F_rho, & |
| 192 |
EAMList%EAMParams(i)%eam_F_rho_pp, & |
| 193 |
0.0E0_DP, 0.0E0_DP, 'N') |
| 194 |
call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & |
| 195 |
EAMList%EAMParams(i)%eam_phi_r, & |
| 196 |
EAMList%EAMParams(i)%eam_phi_r_pp, & |
| 197 |
0.0E0_DP, 0.0E0_DP, 'N') |
| 198 |
enddo |
| 199 |
|
| 200 |
current_rcut_max = EAMList%EAMParams(1)%eam_rcut |
| 201 |
!! find the smallest rcut |
| 202 |
do i = 2, EAMList%currentAddition |
| 203 |
current_rcut_max = min(current_rcut_max,EAMList%EAMParams(i)%eam_rcut) |
| 204 |
end do |
| 205 |
|
| 206 |
EAM_rcut = current_rcut_max |
| 207 |
! do i = 1, EAMList%currentAddition |
| 208 |
! EAMList%EAMParam(i)s%eam_atype_map(eam_atype(i)) = i |
| 209 |
! end do |
| 210 |
|
| 211 |
|
| 212 |
!! Allocate arrays for force calculation |
| 213 |
call allocateEAM(alloc_stat) |
| 214 |
if (alloc_stat /= 0 ) then |
| 215 |
status = -1 |
| 216 |
return |
| 217 |
endif |
| 218 |
|
| 219 |
end subroutine init_EAM_FF |
| 220 |
|
| 221 |
!! routine checks to see if array is allocated, deallocates array if allocated |
| 222 |
!! and then creates the array to the required size |
| 223 |
subroutine allocateEAM(status) |
| 224 |
integer, intent(out) :: status |
| 225 |
|
| 226 |
integer :: nlocal |
| 227 |
#ifdef MPI |
| 228 |
integer :: nrow |
| 229 |
integer :: ncol |
| 230 |
#endif |
| 231 |
integer :: alloc_stat |
| 232 |
|
| 233 |
|
| 234 |
nlocal = getNlocal() |
| 235 |
|
| 236 |
#ifdef MPI |
| 237 |
nrow = getNrow(plan_row) |
| 238 |
ncol = getNcol(plan_col) |
| 239 |
#endif |
| 240 |
|
| 241 |
if (allocated(frho)) deallocate(frho) |
| 242 |
allocate(frho(nlocal),stat=alloc_stat) |
| 243 |
if (alloc_stat /= 0) then |
| 244 |
status = -1 |
| 245 |
return |
| 246 |
end if |
| 247 |
if (allocated(rho)) deallocate(rho) |
| 248 |
allocate(rho(nlocal),stat=alloc_stat) |
| 249 |
if (alloc_stat /= 0) then |
| 250 |
status = -1 |
| 251 |
return |
| 252 |
end if |
| 253 |
if (allocated(dfrhodrho)) deallocate(dfrhodrho) |
| 254 |
allocate(dfrhodrho(nlocal),stat=alloc_stat) |
| 255 |
if (alloc_stat /= 0) then |
| 256 |
status = -1 |
| 257 |
return |
| 258 |
end if |
| 259 |
|
| 260 |
#ifdef MPI |
| 261 |
|
| 262 |
if (allocated(frho_row)) deallocate(frho_row) |
| 263 |
allocate(frho_row(nrow),stat=alloc_stat) |
| 264 |
if (alloc_stat /= 0) then |
| 265 |
status = -1 |
| 266 |
return |
| 267 |
end if |
| 268 |
if (allocated(rho_row)) deallocate(rho_row) |
| 269 |
allocate(rho_row(nrow),stat=alloc_stat) |
| 270 |
if (alloc_stat /= 0) then |
| 271 |
status = -1 |
| 272 |
return |
| 273 |
end if |
| 274 |
if (allocated(dfrhodrho_row)) deallocate(dfrhodrho_row) |
| 275 |
allocate(dfrhodrho_row(nrow),stat=alloc_stat) |
| 276 |
if (alloc_stat /= 0) then |
| 277 |
status = -1 |
| 278 |
return |
| 279 |
end if |
| 280 |
|
| 281 |
! Now do column arrays |
| 282 |
|
| 283 |
if (allocated(frho_col)) deallocate(frho_col) |
| 284 |
allocate(frho_col(ncol),stat=alloc_stat) |
| 285 |
if (alloc_stat /= 0) then |
| 286 |
status = -1 |
| 287 |
return |
| 288 |
end if |
| 289 |
if (allocated(rho_col)) deallocate(rho_col) |
| 290 |
allocate(rho_col(ncol),stat=alloc_stat) |
| 291 |
if (alloc_stat /= 0) then |
| 292 |
status = -1 |
| 293 |
return |
| 294 |
end if |
| 295 |
if (allocated(dfrhodrho_col)) deallocate(dfrhodrho_col) |
| 296 |
allocate(dfrhodrho_col(ncol),stat=alloc_stat) |
| 297 |
if (alloc_stat /= 0) then |
| 298 |
status = -1 |
| 299 |
return |
| 300 |
end if |
| 301 |
|
| 302 |
#endif |
| 303 |
|
| 304 |
end subroutine allocateEAM |
| 305 |
|
| 306 |
|
| 307 |
subroutine clean_EAM() |
| 308 |
|
| 309 |
! clean non-MPI first |
| 310 |
frho = 0.0_dp |
| 311 |
rho = 0.0_dp |
| 312 |
dfrhodrho = 0.0_dp |
| 313 |
! clean MPI if needed |
| 314 |
#ifdef MPI |
| 315 |
frho_row = 0.0_dp |
| 316 |
frho_col = 0.0_dp |
| 317 |
rho_row = 0.0_dp |
| 318 |
rho_col = 0.0_dp |
| 319 |
dfrhodrho_row = 0.0_dp |
| 320 |
dfrhodrho_col = 0.0_dp |
| 321 |
#endif |
| 322 |
end subroutine clean_EAM |
| 323 |
|
| 324 |
|
| 325 |
|
| 326 |
subroutine allocate_EAMType(eam_n_rho,eam_n_r,thisEAMType,stat) |
| 327 |
integer, intent(in) :: eam_n_rho |
| 328 |
integer, intent(in) :: eam_n_r |
| 329 |
type (EAMType), pointer :: thisEAMType |
| 330 |
integer, optional :: stat |
| 331 |
integer :: alloc_stat |
| 332 |
|
| 333 |
|
| 334 |
|
| 335 |
if (present(stat)) stat = 0 |
| 336 |
|
| 337 |
allocate(thisEAMType%eam_rvals(eam_n_r),stat=alloc_stat) |
| 338 |
if (alloc_stat /= 0 ) then |
| 339 |
if (present(stat)) stat = -1 |
| 340 |
return |
| 341 |
end if |
| 342 |
allocate(thisEAMType%eam_rhovals(eam_n_rho),stat=alloc_stat) |
| 343 |
if (alloc_stat /= 0 ) then |
| 344 |
if (present(stat)) stat = -1 |
| 345 |
return |
| 346 |
end if |
| 347 |
allocate(thisEAMType%eam_F_rho(eam_n_rho),stat=alloc_stat) |
| 348 |
if (alloc_stat /= 0 ) then |
| 349 |
if (present(stat)) stat = -1 |
| 350 |
return |
| 351 |
end if |
| 352 |
allocate(thisEAMType%eam_Z_r(eam_n_r),stat=alloc_stat) |
| 353 |
if (alloc_stat /= 0 ) then |
| 354 |
if (present(stat)) stat = -1 |
| 355 |
return |
| 356 |
end if |
| 357 |
allocate(thisEAMType%eam_rho_r(eam_n_r),stat=alloc_stat) |
| 358 |
if (alloc_stat /= 0 ) then |
| 359 |
if (present(stat)) stat = -1 |
| 360 |
return |
| 361 |
end if |
| 362 |
allocate(thisEAMType%eam_phi_r(eam_n_r),stat=alloc_stat) |
| 363 |
if (alloc_stat /= 0 ) then |
| 364 |
if (present(stat)) stat = -1 |
| 365 |
return |
| 366 |
end if |
| 367 |
allocate(thisEAMType%eam_F_rho_pp(eam_n_rho),stat=alloc_stat) |
| 368 |
if (alloc_stat /= 0 ) then |
| 369 |
if (present(stat)) stat = -1 |
| 370 |
return |
| 371 |
end if |
| 372 |
allocate(thisEAMType%eam_Z_r_pp(eam_n_r),stat=alloc_stat) |
| 373 |
if (alloc_stat /= 0 ) then |
| 374 |
if (present(stat)) stat = -1 |
| 375 |
return |
| 376 |
end if |
| 377 |
allocate(thisEAMType%eam_rho_r_pp(eam_n_r),stat=alloc_stat) |
| 378 |
if (alloc_stat /= 0 ) then |
| 379 |
if (present(stat)) stat = -1 |
| 380 |
return |
| 381 |
end if |
| 382 |
allocate(thisEAMType%eam_phi_r_pp(eam_n_r),stat=alloc_stat) |
| 383 |
if (alloc_stat /= 0 ) then |
| 384 |
if (present(stat)) stat = -1 |
| 385 |
return |
| 386 |
end if |
| 387 |
|
| 388 |
|
| 389 |
end subroutine allocate_EAMType |
| 390 |
|
| 391 |
|
| 392 |
subroutine deallocate_EAMType(thisEAMType) |
| 393 |
type (EAMtype), pointer :: thisEAMType |
| 394 |
|
| 395 |
! free Arrays in reverse order of allocation... |
| 396 |
deallocate(thisEAMType%eam_phi_r_pp) |
| 397 |
deallocate(thisEAMType%eam_rho_r_pp) |
| 398 |
deallocate(thisEAMType%eam_Z_r_pp) |
| 399 |
deallocate(thisEAMType%eam_F_rho_pp) |
| 400 |
deallocate(thisEAMType%eam_phi_r) |
| 401 |
deallocate(thisEAMType%eam_rho_r) |
| 402 |
deallocate(thisEAMType%eam_Z_r) |
| 403 |
deallocate(thisEAMType%eam_F_rho) |
| 404 |
deallocate(thisEAMType%eam_rhovals) |
| 405 |
deallocate(thisEAMType%eam_rvals) |
| 406 |
|
| 407 |
end subroutine deallocate_EAMType |
| 408 |
|
| 409 |
!! Calculates rho_r |
| 410 |
subroutine calc_eam_prepair_rho(atom1,atom2,d,r,rijsq) |
| 411 |
integer :: atom1,atom2 |
| 412 |
real(kind = dp), dimension(3) :: d |
| 413 |
real(kind = dp), intent(inout) :: r |
| 414 |
real(kind = dp), intent(inout) :: rijsq |
| 415 |
! value of electron density rho do to atom i at atom j |
| 416 |
real(kind = dp) :: rho_i_at_j |
| 417 |
! value of electron density rho do to atom j at atom i |
| 418 |
real(kind = dp) :: rho_j_at_i |
| 419 |
|
| 420 |
! we don't use the derivatives, dummy variables |
| 421 |
real( kind = dp) :: drho,d2rho |
| 422 |
integer :: eam_err |
| 423 |
|
| 424 |
if (cleanme) call clean_EAM |
| 425 |
cleanme = .false. |
| 426 |
|
| 427 |
call calc_eam_rho(r,rho_i_at_j,drho,d2rho,atom1) |
| 428 |
|
| 429 |
#ifdef MPI |
| 430 |
rho_col(atom2) = rho_col(atom2) + rho_i_at_j |
| 431 |
#else |
| 432 |
rho(atom2) = rho(atom2) + rho_i_at_j |
| 433 |
#endif |
| 434 |
|
| 435 |
call calc_eam_rho(r,rho_j_at_i,drho,d2rho,atom2) |
| 436 |
|
| 437 |
#ifdef MPI |
| 438 |
rho_row(atom1) = rho_row(atom1) + rho_j_at_i |
| 439 |
#else |
| 440 |
rho(atom1) = rho(atom1) + rho_j_at_i |
| 441 |
#endif |
| 442 |
end subroutine calc_eam_prepair_rho |
| 443 |
|
| 444 |
!! Calculate the functional F(rho) for all atoms |
| 445 |
subroutine calc_eam_prepair_Frho(nlocal,pot) |
| 446 |
integer :: nlocal |
| 447 |
real(kind=dp) :: pot |
| 448 |
integer :: i,j |
| 449 |
real(kind=dp) :: U,U1,U2 |
| 450 |
integer :: atype1 |
| 451 |
! reset clean forces to be true at top of calc rho. |
| 452 |
cleanme = .true. |
| 453 |
|
| 454 |
!! Scatter the electron density in pre-pair |
| 455 |
#ifdef MPI |
| 456 |
call scatter(rho_row,rho,plan_row,eam_err) |
| 457 |
if (eam_err /= 0 ) then |
| 458 |
write(errMsg,*) " Error scattering rho_row into rho" |
| 459 |
call handleError(RoutineName,errMesg) |
| 460 |
endif |
| 461 |
call scatter(rho_col,rho,plan_col,eam_err) |
| 462 |
if (eam_err /= 0 ) then |
| 463 |
write(errMsg,*) " Error scattering rho_col into rho" |
| 464 |
call handleError(RoutineName,errMesg) |
| 465 |
endif |
| 466 |
#endif |
| 467 |
|
| 468 |
do i = 1, nlocal |
| 469 |
call calc_eam_frho(rho(i),u,u1,u2,atype1) |
| 470 |
frho(i) = u |
| 471 |
dfrhodrho(i) = u1 |
| 472 |
! d2frhodrhodrho(i) = u2 |
| 473 |
pot = pot + u |
| 474 |
enddo |
| 475 |
|
| 476 |
#ifdef MPI |
| 477 |
!! communicate f(rho) and derivatives |
| 478 |
call gather(frho,frho_row,plan_row, eam_err) |
| 479 |
if (eam_err /= 0) then |
| 480 |
call handleError("cal_eam_forces()","MPI gather frho_row failure") |
| 481 |
endif |
| 482 |
call gather(dfrhodrho,dfrhodrho_row,plan_row, eam_err) |
| 483 |
if (eam_err /= 0) then |
| 484 |
call handleError("cal_eam_forces()","MPI gather dfrhodrho_row failure") |
| 485 |
endif |
| 486 |
call gather(frho,frho_col,plan_col, eam_err) |
| 487 |
if (eam_err /= 0) then |
| 488 |
call handleError("cal_eam_forces()","MPI gather frho_col failure") |
| 489 |
endif |
| 490 |
call gather(dfrhodrho,dfrhodrho_col,plan_col, eam_err) |
| 491 |
if (eam_err /= 0) then |
| 492 |
call handleError("cal_eam_forces()","MPI gather dfrhodrho_col failure") |
| 493 |
endif |
| 494 |
|
| 495 |
if (nmflag) then |
| 496 |
call gather(d2frhodrhodrho,d2frhodrhodrho_row,plan_row) |
| 497 |
call gather(d2frhodrhodrho,d2frhodrhodrho_col,plan_col) |
| 498 |
endif |
| 499 |
#endif |
| 500 |
|
| 501 |
|
| 502 |
end subroutine calc_eam_prepair_Frho |
| 503 |
|
| 504 |
|
| 505 |
|
| 506 |
|
| 507 |
subroutine calc_eam_pair(atom1,atom2,d,rij,r2,pot,f,do_pot,do_stress) |
| 508 |
!Arguments |
| 509 |
integer, intent(in) :: atom1, atom2 |
| 510 |
real( kind = dp ), intent(in) :: rij, r2 |
| 511 |
real( kind = dp ) :: pot |
| 512 |
real( kind = dp ), dimension(3,getNlocal()) :: f |
| 513 |
real( kind = dp ), intent(in), dimension(3) :: d |
| 514 |
logical, intent(in) :: do_pot, do_stress |
| 515 |
|
| 516 |
real( kind = dp ) :: drdx,drdy,drdz |
| 517 |
real( kind = dp ) :: phab,pha,dvpdr,d2vpdrdr |
| 518 |
real( kind = dp ) :: rha,drha,d2rha, dpha |
| 519 |
real( kind = dp ) :: rhb,drhb,d2rhb, dphb |
| 520 |
real( kind = dp ) :: dudr |
| 521 |
real( kind = dp ) :: rci,rcj |
| 522 |
real( kind = dp ) :: drhoidr,drhojdr |
| 523 |
real( kind = dp ) :: d2rhoidrdr |
| 524 |
real( kind = dp ) :: d2rhojdrdr |
| 525 |
real( kind = dp ) :: Fx,Fy,Fz |
| 526 |
real( kind = dp ) :: r,d2pha,phb,d2phb |
| 527 |
integer :: id1,id2 |
| 528 |
integer :: atype1,atype2 |
| 529 |
|
| 530 |
|
| 531 |
!Local Variables |
| 532 |
|
| 533 |
|
| 534 |
|
| 535 |
phab = 0.0E0_DP |
| 536 |
dvpdr = 0.0E0_DP |
| 537 |
d2vpdrdr = 0.0E0_DP |
| 538 |
|
| 539 |
|
| 540 |
if (rij .lt. EAM_rcut) then |
| 541 |
#ifdef IS_MPI |
| 542 |
!!!!! FIX ME |
| 543 |
atype1 = atid_row(atom1) |
| 544 |
#else |
| 545 |
atype1 = atid(atom1) |
| 546 |
#endif |
| 547 |
|
| 548 |
drdx = d(1)/rij |
| 549 |
drdy = d(2)/rij |
| 550 |
drdz = d(3)/rij |
| 551 |
|
| 552 |
|
| 553 |
call calc_eam_rho(r, rha, drha, d2rha, atype1) |
| 554 |
call calc_eam_phi(r, pha, dpha, d2pha, atype1) |
| 555 |
! rci = eam_rcut(eam_atype_map(atom1)) |
| 556 |
#ifdef IS_MPI |
| 557 |
atype2 = atid_col(atom2) |
| 558 |
#else |
| 559 |
atype2 = atid(atom2) |
| 560 |
#endif |
| 561 |
|
| 562 |
call calc_eam_rho(r, rhb, drhb, d2rhb, atype2) |
| 563 |
call calc_eam_phi(r, phb, dphb, d2phb, atype2) |
| 564 |
! rcj = eam_rcut(eam_atype_map(atype2)) |
| 565 |
|
| 566 |
if (r.lt.rci) then |
| 567 |
phab = phab + 0.5E0_DP*(rhb/rha)*pha |
| 568 |
dvpdr = dvpdr + 0.5E0_DP*((rhb/rha)*dpha + & |
| 569 |
pha*((drhb/rha) - (rhb*drha/rha/rha))) |
| 570 |
d2vpdrdr = d2vpdrdr + 0.5E0_DP*((rhb/rha)*d2pha + & |
| 571 |
2.0E0_DP*dpha*((drhb/rha) - (rhb*drha/rha/rha)) + & |
| 572 |
pha*((d2rhb/rha) - 2.0E0_DP*(drhb*drha/rha/rha) + & |
| 573 |
(2.0E0_DP*rhb*drha*drha/rha/rha/rha) - (rhb*d2rha/rha/rha))) |
| 574 |
endif |
| 575 |
|
| 576 |
|
| 577 |
if (r.lt.rcj) then |
| 578 |
phab = phab + 0.5E0_DP*(rha/rhb)*phb |
| 579 |
dvpdr = dvpdr + 0.5E0_DP*((rha/rhb)*dphb + & |
| 580 |
phb*((drha/rhb) - (rha*drhb/rhb/rhb))) |
| 581 |
d2vpdrdr = d2vpdrdr + 0.5E0_DP*((rha/rhb)*d2phb + & |
| 582 |
2.0E0_DP*dphb*((drha/rhb) - (rha*drhb/rhb/rhb)) + & |
| 583 |
phb*((d2rha/rhb) - 2.0E0_DP*(drha*drhb/rhb/rhb) + & |
| 584 |
(2.0E0_DP*rha*drhb*drhb/rhb/rhb/rhb) - (rha*d2rhb/rhb/rhb))) |
| 585 |
endif |
| 586 |
|
| 587 |
drhoidr = drha |
| 588 |
drhojdr = drhb |
| 589 |
|
| 590 |
d2rhoidrdr = d2rha |
| 591 |
d2rhojdrdr = d2rhb |
| 592 |
|
| 593 |
|
| 594 |
#ifdef MPI |
| 595 |
dudr = drhojdr*dfrhodrho_row(atom1)+drhoidr*dfrhodrho_col(atom2) & |
| 596 |
+ dvpdr |
| 597 |
|
| 598 |
#else |
| 599 |
dudr = drhojdr*dfrhodrho(atom1)+drhoidr*dfrhodrho(atom2) & |
| 600 |
+ dvpdr |
| 601 |
|
| 602 |
#endif |
| 603 |
|
| 604 |
fx = dudr * drdx |
| 605 |
fy = dudr * drdy |
| 606 |
fz = dudr * drdz |
| 607 |
|
| 608 |
|
| 609 |
#ifdef MPI |
| 610 |
if (do_pot) then |
| 611 |
pot_Row(atom1) = pot_Row(atom1) + phab*0.5 |
| 612 |
pot_Col(atom2) = pot_Col(atom2) + phab*0.5 |
| 613 |
end if |
| 614 |
|
| 615 |
f_Row(1,atom1) = f_Row(1,atom1) + fx |
| 616 |
f_Row(2,atom1) = f_Row(2,atom1) + fy |
| 617 |
f_Row(3,atom1) = f_Row(3,atom1) + fz |
| 618 |
|
| 619 |
f_Col(1,atom2) = f_Col(1,atom2) - fx |
| 620 |
f_Col(2,atom2) = f_Col(2,atom2) - fy |
| 621 |
f_Col(3,atom2) = f_Col(3,atom2) - fz |
| 622 |
#else |
| 623 |
if(do_pot) pot = pot + phab |
| 624 |
|
| 625 |
f(1,atom1) = f(1,atom1) + fx |
| 626 |
f(2,atom1) = f(2,atom1) + fy |
| 627 |
f(3,atom1) = f(3,atom1) + fz |
| 628 |
|
| 629 |
f(1,atom2) = f(1,atom2) - fx |
| 630 |
f(2,atom2) = f(2,atom2) - fy |
| 631 |
f(3,atom2) = f(3,atom2) - fz |
| 632 |
#endif |
| 633 |
|
| 634 |
|
| 635 |
|
| 636 |
|
| 637 |
if (do_stress) then |
| 638 |
|
| 639 |
#ifdef MPI |
| 640 |
id1 = tagRow(atom1) |
| 641 |
id2 = tagColumn(atom2) |
| 642 |
#else |
| 643 |
id1 = atom1 |
| 644 |
id2 = atom2 |
| 645 |
#endif |
| 646 |
|
| 647 |
if (molMembershipList(id1) .ne. molMembershipList(id2)) then |
| 648 |
|
| 649 |
tau_Temp(1) = tau_Temp(1) + fx * d(1) |
| 650 |
tau_Temp(2) = tau_Temp(2) + fx * d(2) |
| 651 |
tau_Temp(3) = tau_Temp(3) + fx * d(3) |
| 652 |
tau_Temp(4) = tau_Temp(4) + fy * d(1) |
| 653 |
tau_Temp(5) = tau_Temp(5) + fy * d(2) |
| 654 |
tau_Temp(6) = tau_Temp(6) + fy * d(3) |
| 655 |
tau_Temp(7) = tau_Temp(7) + fz * d(1) |
| 656 |
tau_Temp(8) = tau_Temp(8) + fz * d(2) |
| 657 |
tau_Temp(9) = tau_Temp(9) + fz * d(3) |
| 658 |
virial_Temp = virial_Temp + & |
| 659 |
(tau_Temp(1) + tau_Temp(5) + tau_Temp(9)) |
| 660 |
|
| 661 |
endif |
| 662 |
endif |
| 663 |
|
| 664 |
endif |
| 665 |
|
| 666 |
|
| 667 |
end subroutine calc_eam_pair |
| 668 |
|
| 669 |
!!$subroutine calc_eam_rho(r, rho, drho, d2rho, atype) |
| 670 |
!!$ |
| 671 |
!!$ ! include 'headers/sizes.h' |
| 672 |
!!$ |
| 673 |
!!$ |
| 674 |
!!$integer atype, etype, number_r |
| 675 |
!!$real( kind = DP ) :: r, rho, drho, d2rho |
| 676 |
!!$integer :: i |
| 677 |
!!$ |
| 678 |
!!$ |
| 679 |
!!$etype = eam_atype_map(atype) |
| 680 |
!!$ |
| 681 |
!!$if (r.lt.eam_rcut(etype)) then |
| 682 |
!!$number_r = eam_nr(etype) |
| 683 |
!!$call eam_splint(etype, number_r, eam_rvals, eam_rho_r, & |
| 684 |
!!$ eam_rho_r_pp, r, rho, drho, d2rho) |
| 685 |
!!$else |
| 686 |
!!$rho = 0.0E0_DP |
| 687 |
!!$drho = 0.0E0_DP |
| 688 |
!!$d2rho = 0.0E0_DP |
| 689 |
!!$endif |
| 690 |
!!$ |
| 691 |
!!$return |
| 692 |
!!$end subroutine calc_eam_rho |
| 693 |
!!$ |
| 694 |
!!$subroutine calc_eam_frho(dens, u, u1, u2, atype) |
| 695 |
!!$ |
| 696 |
!!$ ! include 'headers/sizes.h' |
| 697 |
!!$ |
| 698 |
!!$integer atype, etype, number_rho |
| 699 |
!!$real( kind = DP ) :: dens, u, u1, u2 |
| 700 |
!!$real( kind = DP ) :: rho_vals |
| 701 |
!!$ |
| 702 |
!!$etype = eam_atype_map(atype) |
| 703 |
!!$number_rho = eam_nrho(etype) |
| 704 |
!!$if (dens.lt.eam_rhovals(number_rho, etype)) then |
| 705 |
!!$call eam_splint(etype, number_rho, eam_rhovals, eam_f_rho, & |
| 706 |
!!$ eam_f_rho_pp, dens, u, u1, u2) |
| 707 |
!!$else |
| 708 |
!!$rho_vals = eam_rhovals(number_rho,etype) |
| 709 |
!!$call eam_splint(etype, number_rho, eam_rhovals, eam_f_rho, & |
| 710 |
!!$ eam_f_rho_pp, rho_vals, u, u1, u2) |
| 711 |
!!$endif |
| 712 |
!!$ |
| 713 |
!!$return |
| 714 |
!!$end subroutine calc_eam_frho |
| 715 |
!!$ |
| 716 |
!!$subroutine calc_eam_phi(r, phi, dphi, d2phi, atype) |
| 717 |
!!$ |
| 718 |
!!$ |
| 719 |
!!$ |
| 720 |
!!$ |
| 721 |
!!$integer atype, etype, number_r |
| 722 |
!!$real( kind = DP ) :: r, phi, dphi, d2phi |
| 723 |
!!$ |
| 724 |
!!$etype = eam_atype_map(atype) |
| 725 |
!!$ |
| 726 |
!!$if (r.lt.eam_rcut(etype)) then |
| 727 |
!!$number_r = eam_nr(etype) |
| 728 |
!!$call eam_splint(etype, number_r, eam_rvals, eam_phi_r, & |
| 729 |
!!$ eam_phi_r_pp, r, phi, dphi, d2phi) |
| 730 |
!!$else |
| 731 |
!!$phi = 0.0E0_DP |
| 732 |
!!$dphi = 0.0E0_DP |
| 733 |
!!$d2phi = 0.0E0_DP |
| 734 |
!!$endif |
| 735 |
!!$ |
| 736 |
!!$return |
| 737 |
!!$end subroutine calc_eam_phi |
| 738 |
|
| 739 |
|
| 740 |
subroutine eam_splint(nx, xa, ya, yppa, x, y, dy, d2y) |
| 741 |
|
| 742 |
|
| 743 |
integer :: atype, nx, j |
| 744 |
real( kind = DP ), dimension(:) :: xa |
| 745 |
real( kind = DP ), dimension(:) :: ya |
| 746 |
real( kind = DP ), dimension(:) :: yppa |
| 747 |
real( kind = DP ) :: x, y, dy, d2y |
| 748 |
real( kind = DP ) :: del, h, a, b, c, d |
| 749 |
|
| 750 |
|
| 751 |
|
| 752 |
|
| 753 |
|
| 754 |
! this spline code assumes that the x points are equally spaced |
| 755 |
! do not attempt to use this code if they are not. |
| 756 |
|
| 757 |
|
| 758 |
! find the closest point with a value below our own: |
| 759 |
j = FLOOR(dble(nx-1) * (x - xa(1)) / (xa(nx) - xa(1))) + 1 |
| 760 |
|
| 761 |
! check to make sure we're inside the spline range: |
| 762 |
if ((j.gt.nx).or.(j.lt.1)) then |
| 763 |
write(default_error,*) "EAM_splint: x is outside bounds of spline" |
| 764 |
endif |
| 765 |
! check to make sure we haven't screwed up the calculation of j: |
| 766 |
if ((x.lt.xa(j)).or.(x.gt.xa(j+1))) then |
| 767 |
if (j.ne.nx) then |
| 768 |
write(default_error,*) "EAM_splint: x is outside bounding range" |
| 769 |
endif |
| 770 |
endif |
| 771 |
|
| 772 |
del = xa(j+1) - x |
| 773 |
h = xa(j+1) - xa(j) |
| 774 |
|
| 775 |
a = del / h |
| 776 |
b = 1.0E0_DP - a |
| 777 |
c = a*(a*a - 1.0E0_DP)*h*h/6.0E0_DP |
| 778 |
d = b*(b*b - 1.0E0_DP)*h*h/6.0E0_DP |
| 779 |
|
| 780 |
y = a*ya(j) + b*ya(j+1) + c*yppa(j) + d*yppa(j+1) |
| 781 |
|
| 782 |
dy = (ya(j+1)-ya(j))/h & |
| 783 |
- (3.0E0_DP*a*a - 1.0E0_DP)*h*yppa(j)/6.0E0_DP & |
| 784 |
+ (3.0E0_DP*b*b - 1.0E0_DP)*h*yppa(j+1)/6.0E0_DP |
| 785 |
|
| 786 |
d2y = a*yppa(j) + b*yppa(j+1) |
| 787 |
|
| 788 |
end subroutine eam_splint |
| 789 |
|
| 790 |
subroutine eam_spline(nx, xa, ya, yppa, yp1, ypn, boundary) |
| 791 |
|
| 792 |
|
| 793 |
|
| 794 |
|
| 795 |
! yp1 and ypn are the first derivatives of y at the two endpoints |
| 796 |
! if boundary is 'L' the lower derivative is used |
| 797 |
! if boundary is 'U' the upper derivative is used |
| 798 |
! if boundary is 'B' then both derivatives are used |
| 799 |
! if boundary is anything else, then both derivatives are assumed to be 0 |
| 800 |
|
| 801 |
integer :: nx, i, k, max_array_size |
| 802 |
|
| 803 |
real( kind = DP ), dimension(:) :: xa |
| 804 |
real( kind = DP ), dimension(:) :: ya |
| 805 |
real( kind = DP ), dimension(:) :: yppa |
| 806 |
real( kind = DP ), dimension(size(xa)) :: u |
| 807 |
real( kind = DP ) :: yp1,ypn,un,qn,sig,p |
| 808 |
character boundary |
| 809 |
|
| 810 |
|
| 811 |
if ((boundary.eq.'l').or.(boundary.eq.'L').or. & |
| 812 |
(boundary.eq.'b').or.(boundary.eq.'B')) then |
| 813 |
yppa(1) = -0.5E0_DP |
| 814 |
u(1) = (3.0E0_DP/(xa(2)-xa(1)))*((ya(2)-& |
| 815 |
ya(1))/(xa(2)-xa(1))-yp1) |
| 816 |
else |
| 817 |
yppa(1) = 0.0E0_DP |
| 818 |
u(1) = 0.0E0_DP |
| 819 |
endif |
| 820 |
|
| 821 |
do i = 2, nx - 1 |
| 822 |
sig = (xa(i) - xa(i-1)) / (xa(i+1) - xa(i-1)) |
| 823 |
p = sig * yppa(i-1) + 2.0E0_DP |
| 824 |
yppa(i) = (sig - 1.0E0_DP) / p |
| 825 |
u(i) = (6.0E0_DP*((ya(i+1)-ya(i))/(xa(i+1)-xa(i)) - & |
| 826 |
(ya(i)-ya(i-1))/(xa(i)-xa(i-1)))/ & |
| 827 |
(xa(i+1)-xa(i-1)) - sig * u(i-1))/p |
| 828 |
enddo |
| 829 |
|
| 830 |
if ((boundary.eq.'u').or.(boundary.eq.'U').or. & |
| 831 |
(boundary.eq.'b').or.(boundary.eq.'B')) then |
| 832 |
qn = 0.5E0_DP |
| 833 |
un = (3.0E0_DP/(xa(nx)-xa(nx-1)))* & |
| 834 |
(ypn-(ya(nx)-ya(nx-1))/(xa(nx)-xa(nx-1))) |
| 835 |
else |
| 836 |
qn = 0.0E0_DP |
| 837 |
un = 0.0E0_DP |
| 838 |
endif |
| 839 |
|
| 840 |
yppa(nx)=(un-qn*u(nx-1))/(qn*yppa(nx-1)+1.0E0_DP) |
| 841 |
|
| 842 |
do k = nx-1, 1, -1 |
| 843 |
yppa(k)=yppa(k)*yppa(k+1)+u(k) |
| 844 |
enddo |
| 845 |
|
| 846 |
end subroutine eam_spline |
| 847 |
|
| 848 |
|
| 849 |
|
| 850 |
|
| 851 |
end module eam |
