Constant kernel equal to zero. More...
Functions/Subroutines | |
| subroutine | kernel_zero (aero_particle_1, aero_particle_2, aero_data, env_state, k) |
| Zero coagulation kernel. More... | |
| subroutine | kernel_zero_minmax (v1, v2, aero_data, env_state, k_min, k_max) |
| Minimum and maximum of the zero coagulation kernel. More... | |
| subroutine | soln_zero (bin_grid, aero_data, time, aero_dist_init, scenario, env_state, aero_binned) |
| Exact solution with the zero coagulation kernel. Only useful for testing emissions, background dilution, and proportional loss functions. More... | |
Detailed Description
Constant kernel equal to zero.
This is only of interest for the exact solution to the no-coagulation, no-condensation case that can be used to test emissions and background dilution.
Function/Subroutine Documentation
◆ kernel_zero()
| subroutine pmc_coag_kernel_zero::kernel_zero | ( | 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 | ||
| ) |
Zero 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_zero.F90.
◆ kernel_zero_minmax()
| subroutine pmc_coag_kernel_zero::kernel_zero_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 of the zero 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_zero.F90.
◆ soln_zero()
| subroutine pmc_coag_kernel_zero::soln_zero | ( | type(bin_grid_t), intent(in) | bin_grid, |
| type(aero_data_t), intent(in) | aero_data, | ||
| real(kind=dp), intent(in) | time, | ||
| type(aero_dist_t), intent(in) | aero_dist_init, | ||
| type(scenario_t), intent(in) | scenario, | ||
| type(env_state_t), intent(in) | env_state, | ||
| type(aero_binned_t), intent(inout) | aero_binned | ||
| ) |
Exact solution with the zero coagulation kernel. Only useful for testing emissions, background dilution, and proportional loss functions.
With only constant-rate emissions, dilutionm, and proportional losses the numberdistribution 
at diameter 
and time 
satisfies:
![\[ \frac{d n(D,t)}{dt} = k_{\rm emit} n_{\rm emit}(D) + (k_{\rm dilute} + k_{\rm loss}(D)) (n_{\rm back}(D) - n(D,t)) \]](form_100.png)
together with the initial condition 
. Here 
and 
are emission and background size distributions, with corresponding rates 
and 
. An optional loss function 
can be used to specify a size-dependent rate at which particles are lost. All values are taken at time 
and held constant, so there is no support for time-varying emissions, background dilution, or loss functions.
This is a family of ODEs parameterized by with solution:
![\[ n(D,t) = n_{\infty}(D) + (n_0(D) - n_{\infty}(D)) \exp( -(k_{\rm dilute} + k_{\rm loss}(D)) t) \]](form_108.png)
where the steady state limit is:
![\[ n_{\infty}(D) = n(D,\infty) = n_{\rm back}(D) + \frac{k_{\rm emit}}{k_{\rm dilute} + k_{\rm loss}(D)} n_{\rm emit}(D) \]](form_109.png)
- Parameters
-
[in] bin_grid Bin grid. [in] aero_data Aerosol data. [in] time Current time (s). [in] aero_dist_init Initial distribution. [in] scenario Scenario. [in] env_state Environment state. [in,out] aero_binned Output state.
Definition at line 105 of file coag_kernel_zero.F90.