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annotate +sbp/InterpOpsOP.m @ 1031:2ef20d00b386 feature/advectionRV

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For easier comparison, return both the first order and residual viscosity when evaluating the residual. Add the first order and residual viscosity to the state of the RungekuttaRV time steppers
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 17 Jan 2019 10:25:06 +0100
parents 27ce3f653aa7
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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27ce3f653aa7 Improve comments in InterpOpsXX
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1 % Order-preserving (OP) interpolation operators, see
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2 % Almquist, Wang, Werpers,
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3 % "Order-Preserving Interpolation for Summation-by-Parts Operators
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4 % at Non-Conforming Interfaces", https://arxiv.org/abs/1806.01931
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5 %
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6 % Let ^* denote the adjoint. These operators satsify
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7 %
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8 % Iuv2.good = Iv2u.bad^*
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9 % Iv2u.good = Iu2v.bad^*
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10 %
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11 % The .bad operators have the same order of accuracy as the operators
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12 % by Mattsson and Carpenter (MC) in InterpOpsMC, i.e. order p,
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13 % if the interior stencil is order 2p. The .good operators are
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14 % one order more accurate, i.e. order p+1.
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15 %
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16 % For PDEs of second order in space, the OP operators allow for the same
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17 % convergence rate as with conforming interfaces, which is an improvement
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18 % by one order compared what is possible with the MC operators.
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19 classdef InterpOpsOP < sbp.InterpOps
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20 properties
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22 % Structs of interpolation operators, fields .good and .bad
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23 Iu2v
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24 Iv2u
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25 end
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27 methods
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28 % m_u, m_v -- number of grid points along the interface
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29 % order_u, order_v -- order of accuracy in the different blocks
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30 function obj = InterpOpsOP(m_u, m_v, order_u, order_v)
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31
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32 assert(order_u == order_v,...
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33 'InterpOpsOP: Different orders of accuracy not available');
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35 switch order_u
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36 case 2
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37 intOpSet = @sbp.implementations.intOpOP_orders_2to2_ratio2to1;
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38 case 4
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39 intOpSet = @sbp.implementations.intOpOP_orders_4to4_ratio2to1;
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40 case 6
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41 intOpSet = @sbp.implementations.intOpOP_orders_6to6_ratio2to1;
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42 case 8
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43 intOpSet = @sbp.implementations.intOpOP_orders_8to8_ratio2to1;
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44 otherwise
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45 error('InterpOpsOP: Order of accuracy %d not available.', order_u);
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46 end
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48 Iu2v = struct;
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49 Iv2u = struct;
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50
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51 if (m_u-1)/(m_v-1) == 2
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52 % Block u is fine, v is coarse
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53 m_C = m_v;
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54 [Iv2u.good, Iu2v.bad] = intOpSet(m_C, 1, 'C2F');
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55 [Iv2u.bad, Iu2v.good] = intOpSet(m_C, 1, 'F2C');
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56
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57 elseif (m_v-1)/(m_u-1) == 2
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58 % Block v is fine, u is coarse
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59 m_C = m_u;
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60 [Iu2v.good, Iv2u.bad] = intOpSet(m_C, 1, 'C2F');
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61 [Iu2v.bad, Iv2u.good] = intOpSet(m_C, 1, 'F2C');
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62 else
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63 error('InterpOpsOP: Interpolation operators for grid ratio %f have not yet been constructed', (m_u-1)/(m_v-1));
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64 end
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66 obj.Iu2v = Iu2v;
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67 obj.Iv2u = Iv2u;
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69 end
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71 function str = string(obj)
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72 str = [class(obj)];
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73 end
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75 end
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76 end