1 | #define THECELL {{ thecell }} |
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2 | |
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3 | {# ---------------- macro to generate code computing pressure top-down --------------- |
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4 | formula = formula to compute 'gravitational' mass |
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5 | = rhodz (dry) rhodz*theta (boussinesq) rhodz*(1+qv) (moist) #} |
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6 | |
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7 | #define BALANCE(formula) {% call(thecell) balance() %} formula {% endcall %} |
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8 | {% macro balance() %} {% set formula=caller %} |
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9 | SEQUENCE_EXT |
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10 | PROLOGUE(llm) |
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11 | pk(CELL) = ptop + .5*g*{{ formula('CELL') }} |
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12 | END_BLOCK |
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13 | BODY('llm-1,1,-1') |
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14 | pk(CELL) = pk(UP(CELL)) + (.5*g)*({{ formula('CELL') }}+{{ formula('UP(CELL)') }}) |
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15 | END_BLOCK |
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16 | IF(caldyn_eta == eta_lag) THEN |
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17 | EPILOGUE(1) |
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18 | ps(HIDX(CELL)) = pk(CELL) + .5*g*{{ formula('CELL') }} |
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19 | END_BLOCK |
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20 | END IF |
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21 | END_BLOCK |
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22 | {%- endmacro %} |
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23 | |
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24 | {# ------------ macro to generate code computing geopotential bottom-up -------------- |
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25 | var = variable to be stored in pk(CELL) |
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26 | caller() computes gv = g*v where v = specific volume |
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27 | details depend on caldyn_thermo #} |
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28 | |
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29 | #define GEOPOT(var) {% call geopot(var) %} |
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30 | {% macro geopot(var) %} {% set formula=caller %} |
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31 | SEQUENCE_EXT |
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32 | BODY('1,llm') |
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33 | p_ik = pk(CELL) |
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34 | {{ formula() }} |
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35 | pk(CELL) = {{ var }} |
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36 | geopot(UP(CELL)) = geopot(CELL) + gv*rhodz(CELL) |
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37 | END_BLOCK |
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38 | END_BLOCK |
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39 | {%- endmacro %} |
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40 | |
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41 | #define END_GEOPOT {% endcall %} |
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42 | |
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43 | KERNEL(compute_geopot) |
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44 | SELECT CASE(caldyn_thermo) |
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45 | CASE(thermo_boussinesq) |
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46 | ! use hydrostatic balance with theta*rhodz to find pk (=Lagrange multiplier=pressure) |
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47 | BALANCE( theta(THECELL,1)*rhodz(THECELL) ) |
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48 | ! now pk contains the Lagrange multiplier (pressure) |
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49 | ! specific volume 1 = dphi/g/rhodz |
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50 | SEQUENCE_EXT |
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51 | BODY('1,llm') |
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52 | geopot(UP(CELL)) = geopot(CELL) + g*rhodz(CELL) |
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53 | END_BLOCK |
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54 | END_BLOCK |
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55 | CASE(thermo_theta) |
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56 | BALANCE( rhodz(THECELL) ) |
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57 | GEOPOT('exner_ik') |
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58 | exner_ik = cpp * (p_ik/preff) ** kappa |
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59 | gv = (g*kappa)*theta(CELL,1)*exner_ik/p_ik |
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60 | END_GEOPOT |
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61 | CASE(thermo_entropy) |
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62 | BALANCE( rhodz(THECELL) ) |
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63 | GEOPOT('temp_ik') |
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64 | temp_ik = Treff*exp((theta(CELL,1) + Rd*log(p_ik/preff))/cpp) |
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65 | gv = (g*Rd)*temp_ik/p_ik ! specific volume v = Rd*T/p |
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66 | END_GEOPOT |
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67 | CASE(thermo_moist) |
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68 | BALANCE( rhodz(THECELL)*(1.+theta(THECELL,2)) ) |
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69 | GEOPOT('temp_ik') |
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70 | qv = theta(CELL,2) ! water vaper mixing ratio = mv/md |
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71 | Rmix = Rd+qv*Rv |
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72 | chi = ( theta(CELL,1) + Rmix*log(p_ik/preff) ) / (cpp + qv*cppv) ! log(T/Treff) |
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73 | temp_ik = Treff*exp(chi) |
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74 | ! specific volume v = R*T/p |
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75 | ! R = (Rd + qv.Rv)/(1+qv) |
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76 | gv = g*Rmix*temp_ik/(p_ik*(1+qv)) |
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77 | END_GEOPOT |
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78 | END SELECT |
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79 | END_BLOCK |
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80 | |
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81 | KERNEL(caldyn_slow_hydro) |
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82 | FORALL_CELLS_EXT() |
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83 | ON_EDGES |
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84 | uu = .5*(rhodz(CELL1)+rhodz(CELL2))*u(EDGE) |
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85 | hflux(EDGE) = uu*LE_DE |
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86 | END_BLOCK |
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87 | END_BLOCK |
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88 | |
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89 | FORALL_CELLS() |
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90 | ON_PRIMAL |
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91 | ke=0.d0 |
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92 | FORALL_EDGES |
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93 | ke = ke + LE_DE*u(EDGE)**2 |
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94 | END_BLOCK |
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95 | BERNI(CELL)=ke*(.25/AI) |
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96 | END_BLOCK |
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97 | END_BLOCK |
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98 | IF(zero) THEN |
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99 | FORALL_CELLS() |
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100 | ON_EDGES |
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101 | du(EDGE) = SIGN*(berni(CELL1)-berni(CELL2)) ! minus gradient |
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102 | END_BLOCK |
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103 | END_BLOCK |
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104 | ELSE |
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105 | FORALL_CELLS() |
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106 | ON_EDGES |
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107 | du(EDGE) = du(EDGE) + SIGN*(berni(CELL1)-berni(CELL2)) ! minus gradient |
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108 | END_BLOCK |
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109 | END_BLOCK |
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110 | END IF |
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111 | |
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112 | END_BLOCK |
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