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view +sbp/D4Standard.m @ 1037:2d7ba44340d0 feature/burgers1d

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Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 18 Jan 2019 09:02:02 +0100
parents e1d11b6a68d8
children
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classdef D4Standard < sbp.OpSet
    properties
        D1 % SBP operator approximating first derivative
        H % Norm matrix
        HI % H^-1
        Q % Skew-symmetric matrix
        e_l % Left boundary operator
        e_r % Right boundary operator
        D2 % SBP operator for second derivative
        M % Norm matrix, second derivative
        d1_l % Left boundary first derivative
        d1_r % Right boundary first derivative
        D3 % SBP operator for third derivative
        Q3 % Skew-symmetric matrix in third derivative
        d2_l % Left boundary second derivative
        d2_r % Right boundary second derivative
        D4 % SBP operator for fourth derivative
        M4 % Norm matrix, fourth derivative
        d3_l % Left boundary third derivative
        d3_r % Right boundary third derivative
        m % Number of grid points.
        h % Step size
        x % grid
        borrowing % Struct with borrowing limits for different norm matrices
    end



    methods
        function obj = D4Standard(m,lim,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 == 4
                [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,...
                 obj.e_l, obj.e_r, obj.M, obj.M4, obj.Q, obj.Q3, obj.d2_l,...
                 obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l, obj.d1_r] = ...
                  sbp.implementations.d4_4(m,obj.h);
                obj.borrowing.N.S2 = 0.5485;
                obj.borrowing.N.S3 = 1.0882;
            elseif order == 6
                [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,...
                 obj.e_l, obj.e_r, obj.M, obj.M4, obj.Q, obj.Q3, obj.d2_l,...
                 obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l, obj.d1_r] = ...
                  sbp.implementations.d4_6(m,obj.h);
                obj.borrowing.N.S2 = 0.3227;
                obj.borrowing.N.S3 = 0.1568;
            else
                error('Invalid operator order %d.',order);
            end

            obj.m = m;

        end

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


end