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view +sbp/D2Standard.m @ 264:8a625c5a3633 operator_remake

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Changed input parameter L (domain length) to lim (cell with domain boundaries)
author Martin Almquist <martin.almquist@it.uu.se>
date Fri, 09 Sep 2016 10:39:12 +0200
parents 21a180acbd49
children 3e0432b3cb68
line wrap: on
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classdef D2Standard < sbp.OpSet
    properties
        D1 % SBP operator approximating first derivative
        H % Norm matrix
        HI % H^-1
        Q % Skew-symmetric matrix
        e_1 % Left boundary operator
        e_m % Right boundary operator
        D2 % SBP operator for second derivative
        M % Norm matrix, second derivative
        S_1 % Left boundary first derivative
        S_m % Right boundary first derivative
        m % Number of grid points.
        h % Step size
        x % grid
        borrowing % Struct with borrowing limits for different norm matrices
        
    end

    methods
        function obj = D2Standard(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 == 2
                [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
                obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
                sbp.implementations.ordinary2(m,obj.h);
                obj.borrowing.M.S = 0.4000;
            elseif order == 4
                [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
                obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
                sbp.implementations.ordinary4(m,obj.h);
                obj.borrowing.M.S = 0.2508;
            elseif order == 6
                [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
                obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
                sbp.implementations.ordinary6(m,obj.h);
                obj.borrowing.M.S = 0.1878;
            elseif order == 8
                [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
                obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
                sbp.implementations.ordinary8(m,obj.h);
                obj.borrowing.M.S = 0.0015;
            elseif order == 10
                [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
                obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
                sbp.implementations.ordinary10(m,obj.h);
                obj.borrowing.M.S = 0.0351;
            elseif order == 12
                [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
                obj.e_m, obj.M, obj.Q, obj.S_1, obj.S_m] =...
                sbp.implementations.ordinary12(m,obj.h);
                obj.borrowing.M.S = []; % Need to compute!
            else
                error('Invalid operator order %d.',order);
            end

            obj.m = m;

        end
    end


end