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annotate +grid/primalDual1D.m @ 753:44c46bd6913a feature/d1_staggered

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Fix stage rate bug in RK4 discrete data
author Martin Almquist <malmquist@stanford.edu>
date Fri, 15 Jun 2018 13:02:29 -0700
parents 070d578997f6
children
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070d578997f6 Add helper function for primal and dual 1D staggered grid, and a test for that function.
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1 % Creates a 1D staggered grid of dimension length(m).
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2 % over the interval xlims
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3 % Primal grid: equidistant with m points.
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4 % Dual grid: m + 1 points, h/2 spacing first point.
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5 % Examples
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6 % g = grid.primal_dual_1D(m, xlim)
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7 % g = grid.primal_dual_1D(11, {0,1})
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8 function [g_primal, g_dual] = primalDual1D(m, xlims)
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9
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10 if ~iscell(xlims) || numel(xlims) ~= 2
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11 error('grid:primalDual1D:InvalidLimits','The limits should be cell arrays with 2 elements.');
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12 end
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13
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14 if xlims{1} > xlims{2}
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15 error('grid:primalDual1D:InvalidLimits','The elements of the limit must be increasing.');
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16 end
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18 xl = xlims{1};
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19 xr = xlims{2};
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20 h = (xr-xl)/(m-1);
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21
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22 % Primal grid
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23 g_primal = grid.equidistant(m, xlims);
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24 g_primal.h = h;
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25
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26 % Dual grid
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27 x = [xl; linspace(xl+h/2, xr-h/2, m-1)'; xr];
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28 g_dual = grid.Cartesian(x);
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29 g_dual.h = h;
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30 end