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view +sbp/D4Lonely.m @ 577:e45c9b56d50d feature/grids

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Add an Empty grid class The need turned up for the flexural code when we may or may not have a grid for the open water and want to plot that solution. In case there is no open water we need an empty grid to plot the empty gridfunction against to avoid errors.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 07 Sep 2017 09:16:12 +0200
parents 25b01643e438
children
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classdef D4Lonely < sbp.OpSet
    properties
        m    % Number of grid points.
        h    % Step size
        x    % grid
        H    % Norm matrix
        HI   % H^-1
        D4   % SBP operator for fourth derivative
        M4   % Norm matrix, fourth derivative
        e_l,  e_r  % Left and right boundary operator
        d1_l, d1_r % Left and right boundary first derivative
        d2_l, d2_r % Left and right boundary second derivative
        d3_l, d3_r % Left and right boundary third derivative
        borrowing % Struct with borrowing limits for different norm matrices
        opt
        order
    end

    methods
        function obj = D4Lonely(m, lim, order, opt)
            default_arg('opt', '')

            obj.opt = opt;
            obj.order = order;

            x_l = lim{1};
            x_r = lim{2};
            L = x_r-x_l;
            obj.h = L/(m-1);
            obj.x = linspace(x_l, x_r,m)';

            if order == 2
                switch opt
                    case ''
                        [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_variable_2(m, obj.h);
                        obj.borrowing.N.S2 = 1.2500;
                        obj.borrowing.N.S3 = 0.4000;
                    otherwise
                        error('Invalid operator option.');
                end

            elseif order == 4
                switch opt
                    case 'min_boundary_points'
                        [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_lonely_4_min_boundary_points(m, obj.h);
                        obj.borrowing.N.S2 = 0.6244;
                        obj.borrowing.N.S3 = 1.3961;
                    case ''
                        [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_variable_4(m, obj.h);
                        obj.borrowing.N.S2 = 0.5055;
                        obj.borrowing.N.S3 = 0.9290;
                    otherwise
                        error('Invalid operator option.');
                end

            elseif order == 6
                switch opt
                    case '2'
                        [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_lonely_6_2(m, obj.h);
                        obj.borrowing.N.S2 = 0.2931;
                        obj.borrowing.N.S3 = 0.0807;
                    case '3'
                        [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_lonely_6_3(m, obj.h);
                        obj.borrowing.N.S2 = 0.2842;
                        obj.borrowing.N.S3 = 0.0709;
                    case 'min_boundary_points'
                        [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_lonely_6_min_boundary_points(m, obj.h);
                        obj.borrowing.N.S2 = 0.3569;
                        obj.borrowing.N.S3 = 0.1908;
                    case ''
                        [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_variable_6(m, obj.h);
                        obj.borrowing.N.S2 = 0.3259;
                        obj.borrowing.N.S3 = 0.1580;
                    otherwise
                        error('Invalid operator option.');
                end

            elseif order == 8
                switch opt
                    case 'min_boundary_points'
                        [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_lonely_8_min_boundary_points(m, obj.h);
                        obj.borrowing.N.S2 = 0.2804;
                        obj.borrowing.N.S3 = 0.0740;
                    case ''
                        [H, HI, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
                            sbp.implementations.d4_lonely_8_higher_boundary_order(m, obj.h);
                        obj.borrowing.N.S2 = 0.2475;
                        obj.borrowing.N.S3 = 0.0401;
                    otherwise
                        error('Invalid operator option.');
                    end
            else
                error('Invalid operator order.');
            end

            obj.m = m;

            obj.H    = H;
            obj.HI   = HI;
            obj.D4   = D4;
            obj.M4   = M4;
            obj.e_l  = e_l;
            obj.e_r  = e_r;
            obj.d1_l = d1_l;
            obj.d1_r = d1_r;
            obj.d2_l = d2_l;
            obj.d2_r = d2_r;
            obj.d3_l = d3_l;
            obj.d3_r = d3_r;
        end

        function str = string(obj)
            str = [class(obj) '_' num2str(obj.order) '_' obj.opt];
        end
    end
end