Try to simulate expansion by reducing f at each z
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1 changed files with 14 additions and 13 deletions
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@ -14,6 +14,7 @@ program VlaPlEx
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real(dp), parameter:: gamma_e_exp = 1.0_dp /(gamma_e - 1.0_dp) ! Exponent for polytropic electrons
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real(dp), parameter:: gamma_e_dexp = (2.0_dp - gamma_e)/(gamma_e - 1.0_dp) ! Exponent for polytropic db_dphi
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real(dp), parameter:: n_epsilon = 1.0e-16_dp
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real(dp), parameter:: cosTheta = 0.995_dp
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real(dp):: r0, rf
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real(dp), allocatable, dimension(:):: r
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@ -53,7 +54,7 @@ program VlaPlEx
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real(dp), allocatable, dimension(:):: phi, phi_old, E, db_dphi
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real(dp):: phiConv
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real(dp):: phi0
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real(dp):: T_e
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real(dp):: T_e0
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! real(dp):: phiF
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integer:: k
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@ -145,7 +146,7 @@ program VlaPlEx
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E_i = 0.0_dp
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T_i = 0.0_dp
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n_e = 0.0_dp
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T_e = 0.0_dp
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T_e0 = 0.0_dp
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Zave = 0.0_dp
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Zave_bc_old = 0.0_dp
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phi = 0.0_dp
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@ -211,7 +212,7 @@ program VlaPlEx
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! Get boundary conditions for specific time
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call boundaryConditions%get(time, n_bc, u_bc, Temp_bc)
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! Find new \bar{Z}_i based on T_e = Temp_bc and n_e = n_bc
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! Find new \bar{Z}_i based on T_e0 = Temp_bc and n_e = n_bc
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call Tene_to_Z%get(Temp_bc, n_bc, Zave_bc)
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! Assign Z(T,n) to bin
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z_inj = minloc(abs(Zlist - Zave_bc),1)
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@ -229,7 +230,7 @@ program VlaPlEx
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f_i_old(z_inj,1,j0:nv) = f0
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f_i(:,1,j0:nv) = f_i_old(:,1,j0:nv)
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T_e = Temp_bc
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T_e0 = Temp_bc
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! r = rf, v<0
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f_i_old(:,nr,1:j0-1) = 0.0_dp
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@ -247,13 +248,13 @@ program VlaPlEx
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do i = 1, nr
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! Advect negative velocity
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if (i < nr) then
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f_i(iz,i,1:j0-1) = f_i_old(iz,i,1:j0-1) - v(1:j0-1)*dt/dr*(f_i_old(iz,i+1,1:j0-1) - &
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f_i_old(iz,i ,1:j0-1))
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f_i(iz,i,1:j0-1) = f_i_old(iz,i,1:j0-1) - v(1:j0-1)*cosTheta*dt/dr*(f_i_old(iz,i+1,1:j0-1) - &
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f_i_old(iz,i ,1:j0-1))
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end if
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! Advect positive velocity
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if (i > 1) then
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f_i(iz,i,j0:nv) = f_i_old(iz,i, j0:nv) - v( j0:nv)*dt/dr*(f_i_old(iz,i , j0:nv) - &
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f_i_old(iz,i-1, j0:nv))
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f_i(iz,i,j0:nv) = f_i_old(iz,i, j0:nv) - v( j0:nv)*cosTheta*dt/dr*(f_i_old(iz,i , j0:nv) - &
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f_i_old(iz,i-1, j0:nv))
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end if
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n_i(iz,i) = sum(f_i(iz,i,:))*dv
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@ -308,12 +309,12 @@ program VlaPlEx
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! phi0=phi(1) ! Neumann
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! Calculate distribution of electrons
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! n_e = sum_ni(1) * exp((phi- phi0) / T_e) ! Isothermal (Boltzmann)
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n_e = sum_ni(1) * (1.0_dp + (gamma_e - 1.0_dp)/gamma_e*(phi-phi0)/T_e)**gamma_e_exp !Polytropic
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! n_e = sum_ni(1) * exp((phi- phi0) / T_e0) ! Isothermal (Boltzmann)
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n_e = sum_ni(1) * (1.0_dp + (gamma_e - 1.0_dp)/gamma_e*(phi-phi0)/T_e0)**gamma_e_exp !Polytropic
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! Diagonal matrix for Newton integration scheme
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! db_dphi = n_e / T_e ! Isothermal (Boltzmann)
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db_dphi = sum_ni(1) / (gamma_e * T_e) * &
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(1.0_dp + (gamma_e - 1.0_dp)/gamma_e*(phi-phi0)/T_e)**gamma_e_dexp !Polytropic
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! db_dphi = n_e / T_e0 ! Isothermal (Boltzmann)
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db_dphi = sum_ni(1) / (gamma_e * T_e0) * &
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(1.0_dp + (gamma_e - 1.0_dp)/gamma_e*(phi-phi0)/T_e0)**gamma_e_dexp !Polytropic
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! Check if the solution has converged
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phiConv = maxval(abs(Res),1)
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