plm_functions real, parameter real, parameter plm_functions::hneglect_dflt hneglect_dflt = 1.E-30 Default negligible cell thickness. plm_boundary_extrapolation plm_reconstruction real elemental pure function, public real elemental pure function, public plm_functions::plm_slope_wa (h_l, h_c, h_r, h_neglect, u_l, u_c, u_r) plm_slope_wa h_l h_l h_c h_c h_r h_r h_neglect h_neglect u_l u_l u_c u_c u_r u_r Returns a limited PLM slope following White and Adcroft, 2008. [units of u] Note that this is not the same as the Colella and Woodward method. h_l Thickness of left cell [units of grid thickness] h_c Thickness of center cell [units of grid thickness] h_r Thickness of right cell [units of grid thickness] h_neglect A negligible thickness [units of grid thickness] u_l Value of left cell [units of u] u_c Value of center cell [units of u] u_r Value of right cell [units of u] mom_ale::ale_plm_edge_values plm_reconstruction real elemental pure function, public real elemental pure function, public plm_functions::plm_slope_cw (h_l, h_c, h_r, h_neglect, u_l, u_c, u_r) plm_slope_cw h_l h_l h_c h_c h_r h_r h_neglect h_neglect u_l u_l u_c u_c u_r u_r Returns a limited PLM slope following Colella and Woodward 1984. h_l Thickness of left cell [units of grid thickness] h_c Thickness of center cell [units of grid thickness] h_r Thickness of right cell [units of grid thickness] h_neglect A negligible thickness [units of grid thickness] u_l Value of left cell [units of u] u_c Value of center cell [units of u] u_r Value of right cell [units of u] real elemental pure function, public real elemental pure function, public plm_functions::plm_monotonized_slope (u_l, u_c, u_r, s_l, s_c, s_r) plm_monotonized_slope u_l u_l u_c u_c u_r u_r s_l s_l s_c s_c s_r s_r Returns a limited PLM slope following Colella and Woodward 1984. u_l Value of left cell [units of u] u_c Value of center cell [units of u] u_r Value of right cell [units of u] s_l PLM slope of left cell [units of u] s_c PLM slope of center cell [units of u] s_r PLM slope of right cell [units of u] mom_ale::ale_plm_edge_values plm_reconstruction real elemental pure function, public real elemental pure function, public plm_functions::plm_extrapolate_slope (h_l, h_c, h_neglect, u_l, u_c) plm_extrapolate_slope h_l h_l h_c h_c h_neglect h_neglect u_l u_l u_c u_c Returns a PLM slope using h2 extrapolation from a cell to the left. Use the negative to extrapolate from the a cell to the right. h_l Thickness of left cell [units of grid thickness] h_c Thickness of center cell [units of grid thickness] h_neglect A negligible thickness [units of grid thickness] u_l Value of left cell [units of u] u_c Value of center cell [units of u] mom_ale::ale_plm_edge_values plm_boundary_extrapolation subroutine, public subroutine, public plm_functions::plm_reconstruction (N, h, u, edge_values, ppoly_coef, h_neglect) plm_reconstruction N N h h u u edge_values edge_values ppoly_coef ppoly_coef h_neglect h_neglect Reconstruction by linear polynomials within each cell. It is assumed that the size of the array 'u' is equal to the number of cells defining 'grid' and 'ppoly'. No consistency check is performed here. n Number of cells h cell widths (size N) u cell averages (size N) edge_values edge values of piecewise polynomials, with the same units as u. ppoly_coef coefficients of piecewise polynomials, mainly with the same units as u. h_neglect A negligibly small width for the purpose of cell reconstructions in the same units as h hneglect_dflt plm_monotonized_slope plm_slope_wa mom_remapping::build_reconstructions_1d regrid_interp::regridding_set_ppolys mom_remapping::remapping_unit_tests subroutine, public subroutine, public plm_functions::plm_boundary_extrapolation (N, h, u, edge_values, ppoly_coef, h_neglect) plm_boundary_extrapolation N N h h u u edge_values edge_values ppoly_coef ppoly_coef h_neglect h_neglect Reconstruction by linear polynomials within boundary cells. The left and right edge values in the left and right boundary cells, respectively, are estimated using a linear extrapolation within the cells. This extrapolation is EXACT when the underlying profile is linear. It is assumed that the size of the array 'u' is equal to the number of cells defining 'grid' and 'ppoly'. No consistency check is performed here. n Number of cells h cell widths (size N) u cell averages (size N) edge_values edge values of piecewise polynomials, with the same units as u. ppoly_coef coefficients of piecewise polynomials, mainly with the same units as u. h_neglect A negligibly small width for the purpose of cell reconstructions in the same units as h hneglect_dflt plm_extrapolate_slope mom_remapping::build_reconstructions_1d regrid_interp::regridding_set_ppolys Piecewise linear reconstruction functions. Date of creation: 2008.06.06 L. White. This module contains routines that handle one-dimensionnal finite volume reconstruction using the piecewise linear method (PLM).