Constant coagulation kernel. More...

Functions/Subroutines
subroutine	kernel_constant (aero_particle_1, aero_particle_2, aero_data, env_state, k)
	Constant coagulation kernel. More...

subroutine	kernel_constant_minmax (v1, v2, aero_data, env_state, k_min, k_max)
	Minimum and maximum values of the constant coagulation kernel. More...

subroutine	soln_constant_exp (bin_grid, aero_data, time, num_conc, radius_at_mean_vol, env_state, aero_binned)
	Exact solution with a constant coagulation kernel and an exponential initial condition. More...

Variables
real(kind=dp), parameter	beta_0 = 0.25d0 / (60d0 * 2d8)
	Coefficient for constant kernel. More...

Detailed Description

Constant coagulation kernel.

Function/Subroutine Documentation

◆ kernel_constant()

subroutine pmc_coag_kernel_constant::kernel_constant	(	type(aero_particle_t), intent(in)	aero_particle_1,
		type(aero_particle_t), intent(in)	aero_particle_2,
		type(aero_data_t), intent(in)	aero_data,
		type(env_state_t), intent(in)	env_state,
		real(kind=dp), intent(out)	k
	)

Constant coagulation kernel.

Parameters

[in]	aero_particle_1	First particle.
[in]	aero_particle_2	Second particle.
[in]	aero_data	Aerosol data.
[in]	env_state	Environment state.
[out]	k	Coagulation kernel.

Definition at line 29 of file coag_kernel_constant.F90.

◆ kernel_constant_minmax()

subroutine pmc_coag_kernel_constant::kernel_constant_minmax	(	real(kind=dp), intent(in)	v1,
		real(kind=dp), intent(in)	v2,
		type(aero_data_t), intent(in)	aero_data,
		type(env_state_t), intent(in)	env_state,
		real(kind=dp), intent(out)	k_min,
		real(kind=dp), intent(out)	k_max
	)

Minimum and maximum values of the constant coagulation kernel.

Parameters

[in]	v1	Volume of first particle.
[in]	v2	Volume of second particle.
[in]	aero_data	Aerosol data.
[in]	env_state	Environment state.
[out]	k_min	Coagulation kernel minimum value.
[out]	k_max	Coagulation kernel maximum value.

Definition at line 50 of file coag_kernel_constant.F90.

◆ soln_constant_exp()

subroutine pmc_coag_kernel_constant::soln_constant_exp	(	type(bin_grid_t), intent(in)	bin_grid,
		type(aero_data_t), intent(in)	aero_data,
		real(kind=dp), intent(in)	time,
		real(kind=dp), intent(in)	num_conc,
		real(kind=dp), intent(in)	radius_at_mean_vol,
		type(env_state_t), intent(in)	env_state,
		type(aero_binned_t), intent(inout)	aero_binned
	)

Exact solution with a constant coagulation kernel and an exponential initial condition.

Given input paramaters and we let the mean volume be $v_\mu = \frac{4\pi}{3} R^3$ and define the rescaled time $\tau = N_0 \beta_0 t$ , where $\beta_0$ is the fixed constant kernel value. We also set the parameter $\lambda = 1$ . Then the solution is

$n(D,t) \ {\rm d}\ln D = \frac{\pi}{2} D^3 \frac{N_0}{v_\mu} \frac{4}{(\tau + 2)^2} \exp\left(-\frac{v}{v_\mu} \frac{2}{\tau + 2} \exp(-\lambda \tau) - \lambda \tau\right) {\rm d}\ln D$

This thus has initial condition

$n(D,t) \ {\rm d}\ln D = \frac{\pi}{2} D^3 \frac{N_0}{v_\mu} \exp\left(-\frac{v}{v_\mu}\right) {\rm d}\ln D$

Parameters

[in]	bin_grid	Bin grid.
[in]	aero_data	Aerosol data.
[in]	time	Current time.
[in]	num_conc	Particle number concentration (#/m^3).
[in]	radius_at_mean_vol	Mean init radius (m).
[in]	env_state	Environment state.
[in,out]	aero_binned	Output state.

Definition at line 92 of file coag_kernel_constant.F90.

Variable Documentation

◆ beta_0

real(kind=dp), parameter pmc_coag_kernel_constant::beta_0 = 0.25d0 / (60d0 * 2d8)

Coefficient for constant kernel.

Definition at line 22 of file coag_kernel_constant.F90.

Functions/Subroutines

Variables

Detailed Description

Function/Subroutine Documentation

◆ kernel_constant()

◆ kernel_constant_minmax()

◆ soln_constant_exp()

Variable Documentation

◆ beta_0