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annotate +sbp/InterpOpsMC.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
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1 % Interpolation operators by Mattsson and Carpenter (MC), see
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2 % Mattsson and Carpenter,
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3 % "Stable and Accurate Interpolatino Operators for High-Order Multiblock Finite DIfference Methods",
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4 % https://epubs.siam.org/doi/pdf/10.1137/090750068
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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 = Iv2u^*
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9 %
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10 % Both Iu2v and Iv2u have p:th order accuracy, if the interior stencil is
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11 % of order 2p.
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12 %
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13 % This approach leads to a reduction of the convergence rate by one order for
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14 % PDEs with 2nd derivatives in space, as compared to conforming interfaces.
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15 % To obtain full convergence rate, use the order-preserving (OP) operators in
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16 % InterpOpsOP.m
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17 classdef InterpOpsMC < sbp.InterpOps
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18 properties
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19
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20 % Structs of interpolation operators, fields .good and .bad
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21 % Here .good and .bad are the same, but this makes them fit in the
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22 % OP (order-preserving) framework.
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23 Iu2v
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24 Iv2u
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25 end
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26
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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 = InterpOpsMC(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 'InterpOpsMC: 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.intOpMC_orders_2to2_ratio2to1;
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38 case 4
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39 intOpSet = @sbp.implementations.intOpMC_orders_4to4_ratio2to1;
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40 case 6
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41 intOpSet = @sbp.implementations.intOpMC_orders_6to6_ratio2to1;
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42 case 8
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43 intOpSet = @sbp.implementations.intOpMC_orders_8to8_ratio2to1;
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44 otherwise
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45 error('InterpOpsMC: 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);
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55 Iv2u.bad = Iv2u.good;
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56 Iu2v.good = Iu2v.bad;
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57
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58 elseif (m_v-1)/(m_u-1) == 2
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59 % Block v is fine, u is coarse
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60 m_C = m_u;
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61 [Iu2v.good, Iv2u.bad] = intOpSet(m_C);
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62 Iu2v.bad = Iu2v.good;
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63 Iv2u.good = Iv2u.bad;
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64 else
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65 error('InterpOpsMC: Interpolation operators for grid ratio %f have not yet been constructed', (m_u-1)/(m_v-1));
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66 end
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68 obj.Iu2v = Iu2v;
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69 obj.Iv2u = Iv2u;
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71 end
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73 function str = string(obj)
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74 str = [class(obj)];
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75 end
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77 end
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78 end