Setup of a channel in Z direction. The initial condition prescribes a Riemann problem.
Find the configuration in ateles.lua
:
-- Riemann problem Toro1 in z direction for 3D Euler equations
require('seeder')
timing_file = 'timing.res'
-- global simulation options
simulation_name = 'toro1_z_euler_modg'
sim_control = {
time_control = {
min = 0,
max = 0.004
}
}
-- Mesh definitions --
mesh = 'mesh/'
-- Equation definitions --
equation = {
name = 'euler',
isen_coef = 1.4,
r = 296.0,
material = {
characteristic = 0,
relax_velocity = {0,0,0},
relax_temperature = 0
}
}
-- (cv) heat capacity and (r) ideal gas constant
equation["cv"] = equation["r"] / (equation["isen_coef"] - 1.0)
-- Tracking
tracking = {
label = 'probe_density_Q4_toro_z',
folder = '',
variable = {'density'},
shape = {
kind = 'canoND',
object = {
origin = {
epsx,
epsx,
(channel_length/2.0) + epsx,
}
}
},
time_control = {
min = 0,
max = sim_control.time_control.max,
interval = sim_control.time_control.max/20.0
},
output = { format = 'ascii', ndofs = 1 }
}
-- The initial conditions for the Riemann problem
-- ... left state
rho_l = 1.0
u_l = 0.0
p_l = 1.0
-- ... right state
rho_r = 0.125
u_r = 0.0
p_r = 0.1
function rho(x,y,z)
if ( z < channel_length/2.0 ) then
return rho_l
else
return rho_r
end
end
function p(x,y,z)
if ( z < channel_length/2.0 ) then
return p_l
else
return p_r
end
end
function u(x,y,z)
if ( z < channel_length/2.0 ) then
return u_l
else
return u_r
end
end
projection = {
kind = 'fpt',
factor = 1.0,
blocksize = 32
}
initial_condition = {
density = rho,
pressure = p,
velocityX = 0,
velocityY = 0,
velocityZ = u
}
-- Scheme definitions --
scheme = {
-- the spatial discretization scheme
spatial = {
name = 'modg',
m = 3
},
-- the temporal discretization scheme
temporal = {
name = 'explicitRungeKutta',
steps = 4,
control = {
name = 'cfl',
cfl = 0.6
}
}
}
-- Boundary conditions
boundary_condition = {
{
label = 'inlet',
kind = 'inflow_normal',
density = rho_l,
v_norm = u_l,
v_tan = 0.0
},
{
label = 'outlet',
kind = 'outflow',
pressure = p_r
},
{
label = 'bottom',
kind = 'slipwall'
},
{
label = 'top',
kind = 'slipwall'
},
{
label = 'south',
kind = 'slipwall'
},
{
label = 'north',
kind = 'slipwall'
}
}
Features used
Projection: fpt
Polynomial representation: Q
Filtering: --
Timestepping: explicitRungeKutta, 4 steps
Boundary conditions: slipwall
, inflow_normal
, outflow