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view +sbp/D1Upwind.m @ 1198:2924b3a9b921 feature/d2_compatible

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Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents e1d11b6a68d8
children 111fcbcff2e9
line wrap: on
line source

classdef D1Upwind < sbp.OpSet
    properties
        Dp, Dm % SBP operator approximating first derivative
        H % Norm matrix
        HI % H^-1
        e_l % Left boundary operator
        e_r % Right boundary operator
        m % Number of grid points.
        h % Step size
        x % grid
        borrowing % Struct with borrowing limits for different norm matrices
    end

    methods
        function obj = D1Upwind(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)';

            switch order
                case 2
                    [obj.H, obj.HI, obj.Dp, obj.Dm, obj.e_l, obj.e_r] = ...
                        sbp.implementations.d1_upwind_2(m,obj.h);
                case 3
                    [obj.H, obj.HI, obj.Dp, obj.Dm, obj.e_l, obj.e_r] = ...
                        sbp.implementations.d1_upwind_3(m,obj.h);
                case 4
                    [obj.H, obj.HI, obj.Dp, obj.Dm, obj.e_l, obj.e_r] = ...
                        sbp.implementations.d1_upwind_4(m,obj.h);
                case 5
                    [obj.H, obj.HI, obj.Dp, obj.Dm, obj.e_l, obj.e_r] = ...
                        sbp.implementations.d1_upwind_5(m,obj.h);
                case 6
                    [obj.H, obj.HI, obj.Dp, obj.Dm, obj.e_l, obj.e_r] = ...
                        sbp.implementations.d1_upwind_6(m,obj.h);
                case 7
                    [obj.H, obj.HI, obj.Dp, obj.Dm, obj.e_l, obj.e_r] = ...
                        sbp.implementations.d1_upwind_7(m,obj.h);
                case 8
                    [obj.H, obj.HI, obj.Dp, obj.Dm, obj.e_l, obj.e_r] = ...
                        sbp.implementations.d1_upwind_8(m,obj.h);
                case 9
                    [obj.H, obj.HI, obj.Dp, obj.Dm, obj.e_l, obj.e_r] = ...
                        sbp.implementations.d1_upwind_9(m,obj.h);
                otherwise
                    error('Invalid operator order %d.',order);
            end

            obj.m = m;
        	obj.borrowing = [];

        end

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


end