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159 | ;fname: transient_sheet-utils.p2fis
;
; Itasca Consulting Group, Inc.
; ==============================================================================
; Utility functions for thermal option verification problems
; ==============================================================================
;
; ------------------------------------------------------------------------------
fish define close_pack(nrow_,ncol_,type_)
global xc = x0
global yc = y0
global rc = radius
global idc = id_start
local r2 = 2.0 * rc
global dom_xmin = x0 - 4.0 *r2
global dom_xmax = x0 + ncol_*r2 + 4.0 *r2
global dom_ymin = y0 - 4.0 *r2
global dom_ymax = y0 + nrow_*r2 + 4.0 *r2
command
model domain extent @dom_xmin @dom_xmax @dom_ymin @dom_ymax
endcommand
case_of type_
case 1
yinc = radius * 2.0
case 2
yinc = radius * math.sqrt(3.0)
end_case
loop local row (1,nrow_)
loop local col (1,ncol_)
command
ball create id=@idc position-x=@xc position-y=@yc ...
radius=[rc*(1 + epsilon)]
end_command
idc = idc + 1
xc = xc + r2
end_loop
yc = yc + yinc
case_of type_
case 1
xc = x0
case 2
xc = x0 + radius * (row - (row/2) * 2)
end_case
end_loop
final_params
therm_props
therm_bcs
end
; ------------------------------------------------------------------------------
fish define final_params
global c_len = (n_col-1)*2.0*radius
end
; ------------------------------------------------------------------------------
fish define therm_props
;
if _pack_type = 1 then
poros = 1.0 - (math.pi/4.0)
_eta = 1.0 / (2.0 * c_k * radius)
else
poros = 1.0 - math.pi/(2.0*math.sqrt(3.0))
_eta = 3.0 / (2.0*math.sqrt(3.0) * c_k * radius)
end_if
_dens = c_dens / (1.0 - poros)
command
contact cmat default model Linear
contact cmat thermal default model ThermalPipe property thres=@_eta
contact cmat thermal default inherit thres off
ball attribute density=@_dens
ball thermal attribute specific-heat=@c_cv
model clean
end_command
end
; ------------------------------------------------------------------------------
fish define therm_bcs
;
global _xl1 = -0.01*radius
global _xr1 = _xl1 + 1.01*radius
global _xl2 = c_len - 0.01*radius
global _xr2 = _xl2 + 1.01*radius
command
ball thermal init temp 0.0
ball thermal init temp @t1 range position-x=(@_xl1, @_xr1) ; left side
ball thermal fix range position-x=(@_xl1, @_xr1) ; left side
ball thermal fix range position-x=(@_xl2, @_xr2) ; right side
end_command
end
; ------------------------------------------------------------------------------
fish define num_soln
;
; ----- Numerical solution (along bottom row of balls)
global tname = string.build("Numerical sol. - age = %1",thermal.time.total)
local t = table.create(tabe)
table.label(t) = tname
tabe +=2
loop foreach local btp ball.thermal.list
local bp = ball.thermal.ball(btp)
if ball.pos(bp,2) = 0.0 then
local _z = ball.pos(bp,1)
local _tz = _z / c_len
table(t, _tz) = ball.thermal.temp(btp) / t1
end_if
end_loop
end
; ------------------------------------------------------------------------------
fish define ana_soln
;
; ----- Analytical solution (along bottom row of balls).
; Do not test for convergence, just take the first [n_tot] terms.
global tname = string.build("Analytical sol. - age = %1",thermal.time.total)
local t = table.create(tabn)
table.label(t) = tname
tabn +=2
loop foreach local btp ball.thermal.list
local bp = ball.thermal.ball(btp)
if ball.pos(bp,2) = 0.0 then
local _z = ball.pos(bp,1)
local n = 0
local tsum = 0.0
loop while n < n_tot
n = n + 1
fn = float(n)
local term = math.sin(math.pi*_z*fn/c_len)
term = term * math.exp(-c_kappa*fn*fn*math.pi*math.pi*thermal.time.total/(c_len*c_len))/fn
tsum = tsum + term
end_loop
_tz = _z / c_len
table(t, _tz) = 1.0 - _z/c_len - (2.0/math.pi)*tsum
end_if
end_loop
end
; ------------------------------------------------------------------------------
fish define init_params
global id_start=1
global x0 = 0.0
global y0 = 0.0
global radius = 1.0
global epsilon = 1.0e-6
;
global c_k = 1.6 ; conductivity
global c_cv = 0.2 ; specific heat
global c_dens = 1000.0 ; density
global c_kappa = c_k / (c_dens*c_cv)
global t1 = 100.0 ; temperature along left side
global tabn_start = 10
global tabe_start = 11
global tabn = tabn_start
global tabe = tabe_start
global n_row = 10
global n_col = 50
global _pack_type = 1
global n_tot = 100 ; number of terms of analytical solution to use
end
; ===================================================================
return
;EOF: transient_sheet-utils.p2fis
|
