This setup utilizes Q-polynomial representation and a spatial scheme order of 8.
It simulates a velocity layer in a rectangular channel with slipwall boundaries.
See the ateles.lua
for the configuration:
-- Configuration file for Ateles --
require 'hyperfun'
-- global simulation options
simulation_name = 'shear_layer_modg' -- the name of the simualtion
sim_control = {
time_control = {
min = 0.0,
max = 1.0e-05
}
}
-- Mesh definitions --
mesh = 'mesh/'
-- Tracking
tracking = {
label = 'probe_momentum_Q8',
folder = '',
variable = {'momentum'},
shape = {kind = 'canoND', object= { origin ={0., 0., 0.} } },
time_control = {
min = 0,
max = sim_control.time_control.max,
interval = sim_control.time_control.max/2.0
},
output = { format = 'ascii', ndofs = 1 }
}
-- 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)
-- Scheme definitions --
scheme = {
-- the spatial discretization scheme
spatial = {
name = 'modg',
m = 7
},
-- the temporal discretization scheme
temporal = {
name = 'explicitRungeKutta',
steps = 4,
-- how to control the timestep
control = {
name = 'cfl', -- the name of the timestep control mechanism
cfl = 0.6 -- CourantÐFriedrichsÐLewy number
}
}
}
projection = {
kind = 'fpt',
factor = 1.0
}
width = 0.07
xDist = 0.1
vel = 50.0
periods=2
function iniVelX(x,y,z)
center = math.sin(periods*math.pi*x)*xDist
return vel*tanh((y-center)/width)
end
initial_condition = {
density = 1.225,
pressure = 100000,
velocityX = iniVelX,
velocityY = 0.0,
velocityZ = 0.0
}
boundary_condition = {
{
label = 'slipSouth',
kind = 'slipwall'
},
{
label = 'slipNorth',
kind = 'slipwall'
},
{
label = 'slipTop',
kind = 'slipwall'
},
{
label = 'slipBottom',
kind = 'slipwall'
}
}
Features used
Projection: fpt
Polynomial representation: Q
Filtering: --
Timestepping: explicitRungeKutta, 4 steps
Boundary conditions: slipwall