submodule (mod_matrix_manager) smod_regular_matrix implicit none contains module procedure add_bmatrix_terms type(matrix_elements_t) :: elements real(dp) :: rho, eps rho = background%density%rho0(x_gauss) eps = grid%get_eps(x_gauss) elements = new_matrix_elements(state_vector=settings%get_state_vector()) ! Quadratic * Quadratic call elements%add(1.0_dp, "rho", "rho", spline1=h_quad, spline2=h_quad) call elements%add(eps * rho, "v2", "v2", spline1=h_quad, spline2=h_quad) call elements%add(rho, "v3", "v3", spline1=h_quad, spline2=h_quad) call elements%add(rho, "T", "T", spline1=h_quad, spline2=h_quad) call elements%add(eps, "a1", "a1", spline1=h_quad, spline2=h_quad) ! Cubic * Cubic call elements%add(rho, "v1", "v1", spline1=h_cubic, spline2=h_cubic) call elements%add(1.0_dp, "a2", "a2", spline1=h_cubic, spline2=h_cubic) call elements%add(eps, "a3", "a3", spline1=h_cubic, spline2=h_cubic) call add_to_quadblock(quadblock, elements, weight, settings%dims) call elements%delete() end procedure add_bmatrix_terms module procedure add_regular_matrix_terms type(matrix_elements_t) :: elements real(dp) :: eps, deps real(dp) :: rho, drho real(dp) :: T0, dT0 real(dp) :: g0 real(dp) :: B01, B02, dB02, drB02, B03, dB03 real(dp) :: Fop_plus, Gop_plus, Gop_min, WVop real(dp) :: gamma_1 gamma_1 = settings%physics%get_gamma_1() ! grid variables eps = grid%get_eps(x_gauss) deps = grid%get_deps() ! density variables rho = background%density%rho0(x_gauss) drho = background%density%drho0(x_gauss) ! temperature variables T0 = background%temperature%T0(x_gauss) dT0 = background%temperature%dT0(x_gauss) g0 = physics%gravity%g0(x_gauss) ! magnetic field variables B01 = background%magnetic%B01(x_gauss) B02 = background%magnetic%B02(x_gauss) dB02 = background%magnetic%dB02(x_gauss) B03 = background%magnetic%B03(x_gauss) dB03 = background%magnetic%dB03(x_gauss) drB02 = deps * B02 + eps * dB02 ! operators Fop_plus = k2 * B02 / eps + k3 * B03 Gop_plus = k3 * B02 + k2 * B03 / eps Gop_min = k3 * B02 - k2 * B03 / eps WVop = k2**2 / eps + eps * k3**2 elements = new_matrix_elements(state_vector=settings%get_state_vector()) ! ==================== Quadratic * Cubic ==================== call elements%add(-drho, "rho", "v1", spline1=h_quad, spline2=h_cubic) call elements%add( & k3 * (drB02 - ic * k2 * B01) / eps, "v2", "a2", spline1=h_quad, spline2=h_cubic & ) call elements%add( & k2 * (ic * k2 * B01 - drB02) / eps, "v2", "a3", spline1=h_quad, spline2=h_cubic & ) call elements%add( & k3 * (dB03 - ic * k3 * B01), "v3", "a2", spline1=h_quad, spline2=h_cubic & ) call elements%add( & k2 * (ic * k3 * B01 - dB03), "v3", "a3", spline1=h_quad, spline2=h_cubic & ) if (.not. settings%physics%is_incompressible) call elements%add( & -dT0 * rho, "T", "v1", spline1=h_quad, spline2=h_cubic & ) ! ==================== Quadratic * dCubic ==================== call elements%add(-rho, "rho", "v1", spline1=h_quad, spline2=dh_cubic) call elements%add(k2 * B03 / eps, "v2", "a2", spline1=h_quad, spline2=dh_cubic) call elements%add(eps * k3 * B03, "v2", "a3", spline1=h_quad, spline2=dh_cubic) call elements%add( & -(k2 * B02 + ic * deps * B01) / eps, & "v3", & "a2", & spline1=h_quad, & spline2=dh_cubic & ) call elements%add(-eps * k3 * B02, "v3", "a3", spline1=h_quad, spline2=dh_cubic) call elements%add(-gamma_1 * T0 * rho, "T", "v1", spline1=h_quad, spline2=dh_cubic) ! ==================== Quadratic * Quadratic ==================== call elements%add(rho * k2, "rho", "v2", spline1=h_quad, spline2=h_quad) call elements%add(rho * k3, "rho", "v3", spline1=h_quad, spline2=h_quad) call elements%add(k2 * T0 / eps, "v2", "rho", spline1=h_quad, spline2=h_quad) call elements%add(k2 * rho / eps, "v2", "T", spline1=h_quad, spline2=h_quad) call elements%add(-WVop * B03, "v2", "a1", spline1=h_quad, spline2=h_quad) call elements%add(k3 * T0, "v3", "rho", spline1=h_quad, spline2=h_quad) call elements%add(k3 * rho, "v3", "T", spline1=h_quad, spline2=h_quad) call elements%add( & ic * deps * k2 * B01 / eps + B02 * WVop, & "v3", & "a1", & spline1=h_quad, & spline2=h_quad & ) call elements%add( & gamma_1 * k2 * rho * T0, "T", "v2", spline1=h_quad, spline2=h_quad & ) call elements%add( & gamma_1 * k3 * rho * T0, "T", "v3", spline1=h_quad, spline2=h_quad & ) call elements%add(-eps * B03, "a1", "v2", spline1=h_quad, spline2=h_quad) call elements%add(B02, "a1", "v3", spline1=h_quad, spline2=h_quad) ! ==================== Cubic * Quadratic ==================== call elements%add(-deps * T0 / eps, "v1", "rho", spline1=h_cubic, spline2=h_quad) if (settings%physics%gravity%is_enabled()) call elements%add( & g0, "v1", "rho", spline1=h_cubic, spline2=h_quad & ) call elements%add(-deps * rho / eps, "v1", "T", spline1=h_cubic, spline2=h_quad) call elements%add(deps * Gop_plus, "v1", "a1", spline1=h_cubic, spline2=h_quad) call elements%add(ic * B01, "a2", "v3", spline1=h_cubic, spline2=h_quad) call elements%add(-ic * eps * B01, "a3", "v2", spline1=h_cubic, spline2=h_quad) ! ==================== dCubic * Quadratic ==================== call elements%add(-T0, "v1", "rho", spline1=dh_cubic, spline2=h_quad) call elements%add(-rho, "v1", "T", spline1=dh_cubic, spline2=h_quad) call elements%add(-eps * Gop_min, "v1", "a1", spline1=dh_cubic, spline2=h_quad) ! ==================== Cubic * Cubic ==================== call elements%add(-k3 * Fop_plus, "v1", "a2", spline1=h_cubic, spline2=h_cubic) call elements%add(k2 * Fop_plus, "v1", "a3", spline1=h_cubic, spline2=h_cubic) call elements%add(-B03, "a2", "v1", spline1=h_cubic, spline2=h_cubic) call elements%add(B02, "a3", "v1", spline1=h_cubic, spline2=h_cubic) ! ==================== Cubic * dCubic ==================== call elements%add(-deps * B03 / eps, "v1", "a2", spline1=h_cubic, spline2=dh_cubic) call elements%add(-deps * B02, "v1", "a3", spline1=h_cubic, spline2=dh_cubic) ! ==================== dCubic * dCubic ==================== call elements%add(-B03, "v1", "a2", spline1=dh_cubic, spline2=dh_cubic) call elements%add(eps * B02, "v1", "a3", spline1=dh_cubic, spline2=dh_cubic) ! ==================== dQuadratic * Quadratic ==================== call elements%add(-ic * eps * k3 * B01, "v2", "a1", spline1=dh_quad, spline2=h_quad) call elements%add(ic * k2 * B01, "v3", "a1", spline1=dh_quad, spline2=h_quad) ! ==================== dQuadratic * dCubic ==================== call elements%add(ic * eps * B01, "v2", "a3", spline1=dh_quad, spline2=dh_cubic) call elements%add(-ic * B01, "v3", "a2", spline1=dh_quad, spline2=dh_cubic) call add_to_quadblock(quadblock, elements, weight, settings%dims) call elements%delete() end procedure add_regular_matrix_terms end submodule smod_regular_matrix