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Semi-Lagrangian Library
Modular library for kinetic and gyrokinetic simulations of plasmas in fusion energy devices.
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Semi-Lagrangian Library
Modular library for kinetic and gyrokinetic simulations of plasmas in fusion energy devices.
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Go to the source code of this file.
Data Types | |
| type | sll_t_maxwell_1d_fem_sm |
| Maxwell solver class for spline FEM with sparse matrix solvers. More... | |
Modules | |
| module | sll_m_maxwell_1d_fem_sm |
| Solve Maxwell's equations in 1D based on spline FEM, version based on sparse matrices. | |
Functions/Subroutines | |
| subroutine | sll_s_compute_e_from_b_1d_fem_sm (self, delta_t, field_in, field_out) |
| compute Ey from Bz using weak Ampere formulation More... | |
| subroutine | sll_s_compute_b_from_e_1d_fem_sm (self, delta_t, field_in, field_out) |
| Compute Bz from Ey using strong 1D Faraday equation for spline coefficients $B_z^{new}(x_j) = B_z^{old}(x_j) - \frac{\Delta t}{\Delta x} (E_y(x_j) - E_y(x_{j-1}) $. More... | |
| subroutine | sll_s_compute_curl_part_1d_fem_sm (self, delta_t, efield, bfield, betar) |
| Solve curl part of Maxwell's equations. More... | |
| subroutine | sll_s_compute_e_from_rho_1d_fem_sm (self, field_in, field_out) |
| compute e from rho using weak Poisson's equation ( rho = G^T M_1 G \phi, e = G \phi ) More... | |
| subroutine | compute_rho_from_e_1d_fem_sm (self, field_in, field_out) |
| Compute rho from Gauss law for given efield. More... | |
| subroutine | compute_e_from_j_1d_fem_sm (self, current, component, E) |
| Compute E_i from j_i integrated over the time interval using weak Ampere formulation. More... | |
| subroutine | compute_phi_from_rho_1d_fem_sm (self, in, phi, efield) |
| For model with adiabatic electrons. More... | |
| subroutine | compute_phi_from_j_1d_fem_sm (self, in, phi, efield) |
| For model with adiabatic electrons. More... | |
| subroutine | sll_s_compute_rhs_fem_sm (self, func, degree, coefs_dofs) |
| Compute the FEM right-hand-side for a given function f and periodic splines of given degree Its components are $\int f N_i dx$ where $N_i$ is the B-spline starting at $x_i$. More... | |
| subroutine | l2projection_1d_fem_sm (self, func, degree, coefs_dofs) |
| Compute the L2 projection of a given function f on periodic splines of given degree. More... | |
| real(kind=f64) function | l2norm_squared_1d_fem_sm (self, coefs_dofs, degree) |
| Compute square of the L2norm. More... | |
| real(kind=f64) function | inner_product_1d_fem_sm (self, coefs1_dofs, coefs2_dofs, degree, degree2) |
| Compute inner product. More... | |
| subroutine | init_1d_fem_sm (self, domain, n_dofs, s_deg_0, delta_t, mass_tolerance, poisson_tolerance, solver_tolerance, force_sign, adiabatic_electrons) |
| Initialization. More... | |
| subroutine | init_from_file_1d_fem_sm (self, domain, n_dofs, s_deg_0, nml_file, force_sign, adiabatic_electrons) |
| Initialization from nml file. More... | |
| subroutine | free_1d_fem_sm (self) |
| Finalization. More... | |
| subroutine | multiply_g (self, in, out) |
| Multiply by dicrete gradient matrix. More... | |
| subroutine | multiply_gt (self, in, out) |
| Multiply by transpose of dicrete gradient matrix. More... | |
| subroutine | multiply_mass_1d_fem_sm (self, in, out, degree) |
| Multiply by the mass matrix. More... | |
| subroutine | invert_mass_1d_fem_sm (self, in, out, degree) |
| Multiply by the inverse mass matrix. More... | |
1.9.1