Example #1
0
def colp_tendency_jacobson(GR, COLP, UWIND, VWIND, \
                            dCOLPdt, UFLX, VFLX, FLXDIV):

    for k in range(0, GR.nz):
        UFLX[:,:,k][GR.iisjj] = \
                (COLP[GR.iisjj_im1] + COLP[GR.iisjj])/2 *\
                UWIND[:,:,k][GR.iisjj] * GR.dy
        VFLX[:,:,k][GR.iijjs] = \
                (COLP[GR.iijjs_jm1] + COLP[GR.iijjs])/2 *\
                VWIND[:,:,k][GR.iijjs] * GR.dxjs[GR.iijjs]

    # TODO 1 NECESSARY
    UFLX = exchange_BC(GR, UFLX)
    VFLX = exchange_BC(GR, VFLX)

    for k in range(0, GR.nz):
        FLXDIV[:,:,k][GR.iijj] = \
                ( + UFLX[:,:,k][GR.iijj_ip1] - UFLX[:,:,k][GR.iijj] \
                  + VFLX[:,:,k][GR.iijj_jp1] - VFLX[:,:,k][GR.iijj] ) \
                  * GR.dsigma[k] / GR.A[GR.iijj]

    if i_colp_tendency:
        dCOLPdt[GR.iijj] = -np.sum(FLXDIV[GR.iijj], axis=2)

        if COLP_dif_coef > 0:
            num_diff = COLP_dif_coef * \
                         ( +   COLP[GR.iijj_im1] \
                           +   COLP[GR.iijj_ip1] \
                           +   COLP[GR.iijj_jm1] \
                           +   COLP[GR.iijj_jp1] \
                           - 2*COLP[GR.iijj    ] )
            dCOLPdt[GR.iijj] = dCOLPdt[GR.iijj] + num_diff

    return (dCOLPdt, UFLX, VFLX, FLXDIV)
Example #2
0
def diag_geopotential_jacobson(GR, PHI, PHIVB, HSURF, POTT, COLP, PVTF,
                               PVTFVB):

    PVTF, PVTFVB = diag_pvt_factor(GR, COLP, PVTF, PVTFVB)

    #phi_vb = HSURF[GR.iijj]*con_g
    PHIVB[:, :, GR.nzs - 1][GR.iijj] = HSURF[GR.iijj] * con_g
    PHI[:,:,GR.nz-1][GR.iijj] = PHIVB[:,:,GR.nzs-1][GR.iijj] - con_cp*  \
                                ( POTT[:,:,GR.nz-1][GR.iijj] * \
                                    (   PVTF  [:,:,GR.nz-1 ][GR.iijj]  \
                                      - PVTFVB[:,:,GR.nzs-1][GR.iijj]  ) )
    for k in range(GR.nz - 2, -1, -1):
        kp1 = k + 1

        dphi = con_cp * POTT[:,:,kp1][GR.iijj] * \
                        (PVTFVB[:,:,kp1][GR.iijj] - PVTF[:,:,kp1][GR.iijj])
        #phi_vb = PHI[:,:,kp1][GR.iijj] - dphi
        PHIVB[:, :, kp1][GR.iijj] = PHI[:, :, kp1][GR.iijj] - dphi

        # phi_k
        dphi = con_cp * POTT[:,:,k][GR.iijj] * \
                            (PVTF[:,:,k][GR.iijj] - PVTFVB[:,:,kp1][GR.iijj])
        #PHI[:,:,k][GR.iijj] = phi_vb - dphi
        PHI[:, :, k][GR.iijj] = PHIVB[:, :, kp1][GR.iijj] - dphi

    dphi = con_cp * POTT[:,:,0][GR.iijj] * \
                    (PVTFVB[:,:,0][GR.iijj] - PVTF[:,:,0][GR.iijj])
    PHIVB[:, :, 0][GR.iijj] = PHI[:, :, 0][GR.iijj] - dphi

    # TODO 5 NECESSARY
    PVTF = exchange_BC(GR, PVTF)
    PVTFVB = exchange_BC(GR, PVTFVB)
    PHI = exchange_BC(GR, PHI)

    return (PHI, PHIVB, PVTF, PVTFVB)
Example #3
0
def horizontal_advection_VWIND(GR, VWIND, UFLX, VFLX, RFLX, QFLX, SFLX, TFLX,
                               k):

    RFLX[:,:,k][GR.iijj] = 1/12 * (  VFLX[:,:,k][GR.iijj_im1    ]   + \
                                 VFLX[:,:,k][GR.iijj_im1_jp1]   +\
                             2*( VFLX[:,:,k][GR.iijj        ]   + \
                                 VFLX[:,:,k][GR.iijj_jp1    ] ) +\
                                 VFLX[:,:,k][GR.iijj_ip1    ]   + \
                                 VFLX[:,:,k][GR.iijj_ip1_jp1]    )
    RFLX = exchange_BC(GR, RFLX)

    QFLX[:,:,k][GR.iisjjs] = 1/12 * (  UFLX[:,:,k][GR.iisjjs_im1_jm1]   + \
                                 UFLX[:,:,k][GR.iisjjs_im1    ]   +\
                             2*( UFLX[:,:,k][GR.iisjjs_jm1    ]   + \
                                 UFLX[:,:,k][GR.iisjjs        ] ) +\
                                 UFLX[:,:,k][GR.iisjjs_ip1_jm1]   + \
                                 UFLX[:,:,k][GR.iisjjs_ip1    ]    )
    QFLX = exchange_BC(GR, QFLX)

    SFLX[:,:,k][GR.iisjj]  = 1/24 * (  VFLX[:,:,k][GR.iisjj_im1     ]   + \
                                 VFLX[:,:,k][GR.iisjj_im1_jp1]   +\
                                 VFLX[:,:,k][GR.iisjj         ]   +   \
                                 VFLX[:,:,k][GR.iisjj_jp1    ]   +\
                                 UFLX[:,:,k][GR.iisjj_im1     ]   + \
                               2*UFLX[:,:,k][GR.iisjj        ]   +\
                                 UFLX[:,:,k][GR.iisjj_ip1     ]    )
    SFLX = exchange_BC(GR, SFLX)

    TFLX[:,:,k][GR.iisjj]  = 1/24 * (  VFLX[:,:,k][GR.iisjj_im1    ]   + \
                                 VFLX[:,:,k][GR.iisjj_im1_jp1]   +\
                                 VFLX[:,:,k][GR.iisjj        ]   + \
                                 VFLX[:,:,k][GR.iisjj_jp1    ]   +\
                               - UFLX[:,:,k][GR.iisjj_im1    ]   - \
                               2*UFLX[:,:,k][GR.iisjj        ]   +\
                               - UFLX[:,:,k][GR.iisjj_ip1    ]     )
    TFLX = exchange_BC(GR, TFLX)

    horAdv_VWIND =  + RFLX [:,:,k][GR.iijjs_jm1    ] * \
                    ( VWIND[:,:,k][GR.iijjs_jm1    ] + VWIND[:,:,k][GR.iijjs        ] )/2 \
                    - RFLX [:,:,k][GR.iijjs        ] * \
                    ( VWIND[:,:,k][GR.iijjs        ] + VWIND[:,:,k][GR.iijjs_jp1    ] )/2 \
                    \
                    + QFLX [:,:,k][GR.iijjs        ] * \
                    ( VWIND[:,:,k][GR.iijjs_im1    ] + VWIND[:,:,k][GR.iijjs        ] )/2 \
                    - QFLX [:,:,k][GR.iijjs_ip1    ] * \
                    ( VWIND[:,:,k][GR.iijjs        ] + VWIND[:,:,k][GR.iijjs_ip1    ] )/2 \
                    \
                    + SFLX [:,:,k][GR.iijjs_jm1    ] * \
                    ( VWIND[:,:,k][GR.iijjs_im1_jm1] + VWIND[:,:,k][GR.iijjs        ] )/2 \
                    - SFLX [:,:,k][GR.iijjs_ip1    ] * \
                    ( VWIND[:,:,k][GR.iijjs        ] + VWIND[:,:,k][GR.iijjs_ip1_jp1] )/2 \
                    \
                    + TFLX [:,:,k][GR.iijjs_ip1_jm1] * \
                    ( VWIND[:,:,k][GR.iijjs_ip1_jm1] + VWIND[:,:,k][GR.iijjs        ] )/2 \
                    - TFLX [:,:,k][GR.iijjs        ] * \
                    ( VWIND[:,:,k][GR.iijjs        ] + VWIND[:,:,k][GR.iijjs_im1_jp1] )/2

    return (horAdv_VWIND)
Example #4
0
def horizontal_advection_UWIND(GR, UWIND, UFLX, VFLX, BFLX, CFLX, DFLX, EFLX,
                               k):

    BFLX[:,:,k][GR.iijj]   = 1/12 * (  UFLX[:,:,k][GR.iijj_jm1      ]   + \
                                UFLX[:,:,k][GR.iijj_ip1_jm1  ]   + \
                            2*( UFLX[:,:,k][GR.iijj          ]   + \
                                UFLX[:,:,k][GR.iijj_ip1      ] ) + \
                                UFLX[:,:,k][GR.iijj_jp1      ]   + \
                                UFLX[:,:,k][GR.iijj_ip1_jp1  ]   )
    BFLX = exchange_BC(GR, BFLX)

    CFLX[:,:,k][GR.iisjjs] = 1/12 * (  VFLX[:,:,k][GR.iisjjs_im1_jm1]   + \
                                VFLX[:,:,k][GR.iisjjs_jm1    ]   +\
                            2*( VFLX[:,:,k][GR.iisjjs_im1    ]   + \
                                VFLX[:,:,k][GR.iisjjs        ] ) +\
                                VFLX[:,:,k][GR.iisjjs_im1_jp1]   + \
                                VFLX[:,:,k][GR.iisjjs_jp1    ]   )
    CFLX = exchange_BC(GR, CFLX)

    DFLX[:,:,k][GR.iijjs]  = 1/24 * (  VFLX[:,:,k][GR.iijjs_jm1     ]    + \
                                2*VFLX[:,:,k][GR.iijjs       ]    +\
                                VFLX[:,:,k][GR.iijjs_jp1     ]    + \
                                UFLX[:,:,k][GR.iijjs_jm1     ]    +\
                                UFLX[:,:,k][GR.iijjs         ]    + \
                                UFLX[:,:,k][GR.iijjs_ip1_jm1 ]    +\
                                UFLX[:,:,k][GR.iijjs_ip1     ]    )
    DFLX = exchange_BC(GR, DFLX)

    EFLX[:,:,k][GR.iijjs]  = 1/24 * (  VFLX[:,:,k][GR.iijjs_jm1     ]     + \
                                2*VFLX[:,:,k][GR.iijjs       ]     +\
                                VFLX[:,:,k][GR.iijjs_jp1     ]     - \
                                UFLX[:,:,k][GR.iijjs_jm1     ]     +\
                              - UFLX[:,:,k][GR.iijjs         ]     - \
                                UFLX[:,:,k][GR.iijjs_ip1_jm1 ]     +\
                              - UFLX[:,:,k][GR.iijjs_ip1     ]     )
    EFLX = exchange_BC(GR, EFLX)

    horAdv_UWIND =  + BFLX [:,:,k][GR.iisjj_im1    ] * \
                    ( UWIND[:,:,k][GR.iisjj_im1    ] + UWIND[:,:,k][GR.iisjj        ] )/2 \
                    - BFLX [:,:,k][GR.iisjj        ] * \
                    ( UWIND[:,:,k][GR.iisjj        ] + UWIND[:,:,k][GR.iisjj_ip1    ] )/2 \
                    \
                    + CFLX [:,:,k][GR.iisjj        ] * \
                    ( UWIND[:,:,k][GR.iisjj_jm1    ] + UWIND[:,:,k][GR.iisjj        ] )/2 \
                    - CFLX [:,:,k][GR.iisjj_jp1    ] * \
                    ( UWIND[:,:,k][GR.iisjj        ] + UWIND[:,:,k][GR.iisjj_jp1    ] )/2 \
                    \
                    + DFLX [:,:,k][GR.iisjj_im1    ] * \
                    ( UWIND[:,:,k][GR.iisjj_im1_jm1] + UWIND[:,:,k][GR.iisjj        ] )/2 \
                    - DFLX [:,:,k][GR.iisjj_jp1    ] * \
                    ( UWIND[:,:,k][GR.iisjj        ] + UWIND[:,:,k][GR.iisjj_ip1_jp1] )/2 \
                    \
                    + EFLX [:,:,k][GR.iisjj        ] * \
                    ( UWIND[:,:,k][GR.iisjj_ip1_jm1] + UWIND[:,:,k][GR.iisjj        ] )/2 \
                    - EFLX [:,:,k][GR.iisjj_im1_jp1] * \
                    ( UWIND[:,:,k][GR.iisjj        ] + UWIND[:,:,k][GR.iisjj_im1_jp1] )/2

    return (horAdv_UWIND)
Example #5
0
def height_tendency_jacobson(GR, HGHT, UWIND, VWIND, UFLX, VFLX):

    UFLX[GR.iisjj] = \
            (HGHT[GR.iisjj_im1] + HGHT[GR.iisjj])/2 * UWIND[GR.iisjj] * GR.dy
    UFLX = exchange_BC(GR, UFLX)

    VFLX[GR.iijjs] = \
            (HGHT[GR.iijjs_jm1] + HGHT[GR.iijjs])/2 * VWIND[GR.iijjs] * GR.dxjs[GR.iijjs]
    VFLX = exchange_BC(GR, VFLX)

    fluxdiv = ( - (UFLX[GR.iijj_ip1] - UFLX[GR.iijj]) - \
                    (VFLX[GR.iijj_jp1] - VFLX[GR.iijj]) ) \
                / GR.A[GR.iijj]

    dHGHTdt = fluxdiv

    if i_pseudo_radiation:
        radiation = - outRate*HGHT[GR.iijj] + inpRate*np.cos(GR.lat_rad[GR.iijj])
        dHGHTdt += radiation

    return(dHGHTdt, UFLX, VFLX)
Example #6
0
def RK_time_step(GR, COLP0, UWIND0, VWIND0, POTT0, QV0, QC0, \
                COLP1, UWIND1, VWIND1, POTT1, QV1, QC1, \
                dCOLP, dUFLX, dVFLX, dPOTT, dQV, dQC, factor):

    COLPA_is_0, COLPA_js_0 = interp_COLPA(GR, COLP0)
    COLP1[GR.iijj] = COLP0[GR.iijj] + dCOLP / factor
    COLP1 = exchange_BC(GR, COLP1)
    COLPA_is_1, COLPA_js_1 = interp_COLPA(GR, COLP1)
    for k in range(0, GR.nz):
        UWIND1[:,:,k][GR.iisjj] = UWIND0[:,:,k][GR.iisjj] * \
                    COLPA_is_0/COLPA_is_1 + dUFLX[:,:,k]/factor/COLPA_is_1
        VWIND1[:,:,k][GR.iijjs] = VWIND0[:,:,k][GR.iijjs] * \
                     COLPA_js_0/COLPA_js_1 + dVFLX[:,:,k]/factor/COLPA_js_1
        POTT1[:,:,k][GR.iijj] = POTT0[:,:,k][GR.iijj] * \
                        COLP0[GR.iijj]/COLP1[GR.iijj] + \
                        dPOTT[:,:,k]/factor/COLP1[GR.iijj]
        QV1[:,:,k][GR.iijj] = QV0[:,:,k][GR.iijj] * \
                        COLP0[GR.iijj]/COLP1[GR.iijj] + \
                        dQV[:,:,k]/factor/COLP1[GR.iijj]
        QC1[:,:,k][GR.iijj] = QC0[:,:,k][GR.iijj] * \
                        COLP0[GR.iijj]/COLP1[GR.iijj] + \
                        dQC[:,:,k]/factor/COLP1[GR.iijj]
    QV1[QV1 < 0] = 0
    QC1[QC1 < 0] = 0
    # TODO 4 NECESSARY
    UWIND1 = exchange_BC(GR, UWIND1)
    VWIND1 = exchange_BC(GR, VWIND1)
    POTT1 = exchange_BC(GR, POTT1)
    QV1 = exchange_BC(GR, QV1)
    QC1 = exchange_BC(GR, QC1)

    return (COLP1, UWIND1, VWIND1, POTT1, QV1, QC1)
Example #7
0
def height_tendency_upstream(GR, HGHT, UWIND, VWIND, UFLX, VFLX):
    UFLX[GR.iisjj] = \
            GR.dy * (np.maximum(UWIND[GR.iisjj],0) * HGHT[GR.iisjj_im1] + \
                        np.minimum(UWIND[GR.iisjj],0) * HGHT[GR.iisjj])
    UFLX = exchange_BC(GR, UFLX)

    VFLX[GR.iijjs] = \
            GR.dxjs[GR.iijjs] * ( np.maximum(VWIND[GR.iijjs],0) * HGHT[GR.iijjs_jm1] + \
                                    np.minimum(VWIND[GR.iijjs],0) * HGHT[GR.iijjs] )
    VFLX = exchange_BC(GR, VFLX)


    fluxdiv = ( - (UFLX[GR.iijj_ip1] - UFLX[GR.iijj]) - \
                    (VFLX[GR.iijj_jp1] - VFLX[GR.iijj]) ) \
                / GR.A[GR.iijj]

    dHGHTdt = fluxdiv

    if i_pseudo_radiation:
        radiation = - outRate*HGHT[GR.iijj] + inpRate*np.cos(GR.lat_rad[GR.iijj])
        dHGHTdt += radiation

    return(dHGHTdt)
Example #8
0
def initialize_fields(GR, subgrids, CF):
    if i_load_from_restart:
        CF, RAD, SURF, MIC, TURB = load_restart_fields(GR)
    else:

        ####################################################################
        # SET INITIAL FIELD VALUES
        ####################################################################

        # need to have non-nan-values because values from half-level 0 and GR.nzs
        # are used in calculation.
        CF.POTTVB[:] = 0
        CF.WWIND[:] = 0

        #  LOAD TOPOGRAPHY (HSURF)
        CF.HSURF = load_topo_old(GR, CF.HSURF)
        if not i_use_topo:
            CF.HSURF[GR.iijj] = 0.
            CF.HSURF = exchange_BC(GR, CF.HSURF)

        # INITIALIZE PROFILE
        GR, CF.COLP, CF.PSURF, CF.POTT, CF.TAIR \
                = load_profile_old(GR, subgrids, CF.COLP, CF.HSURF, CF.PSURF, CF.PVTF, \
                                CF.PVTFVB, CF.POTT, CF.TAIR)

        # INITIAL CONDITIONS
        CF.COLP = gaussian2D(GR, CF.COLP, COLP_gaussian_pert, np.pi*3/4, 0, \
                            gaussian_dlon, gaussian_dlat)
        CF.COLP = random2D(GR, CF.COLP, COLP_random_pert)

        for k in range(0, GR.nz):
            CF.UWIND[:, :, k][GR.iisjj] = u0
            CF.UWIND[:,:,k] = gaussian2D(GR, CF.UWIND[:,:,k], UWIND_gaussian_pert, \
                            np.pi*3/4, 0, gaussian_dlon, gaussian_dlat)
            CF.UWIND[:, :, k] = random2D(GR, CF.UWIND[:, :, k],
                                         UWIND_random_pert)
            CF.VWIND[:, :, k][GR.iijjs] = v0
            CF.VWIND[:,:,k] = gaussian2D(GR, CF.VWIND[:,:,k], VWIND_gaussian_pert, \
                            np.pi*3/4, 0, gaussian_dlon, gaussian_dlat)
            CF.VWIND[:, :, k] = random2D(GR, CF.VWIND[:, :, k],
                                         VWIND_random_pert)

            CF.POTT[:,:,k] = gaussian2D(GR, CF.POTT[:,:,k], POTT_gaussian_pert, \
                            np.pi*3/4, 0, gaussian_dlon, gaussian_dlat)
            CF.POTT[:, :, k] = random2D(GR, CF.POTT[:, :, k], POTT_random_pert)

        # BOUNDARY EXCHANGE OF INITIAL CONDITIONS
        CF.COLP = exchange_BC(GR, CF.COLP)
        CF.UWIND = exchange_BC(GR, CF.UWIND)
        CF.VWIND = exchange_BC(GR, CF.VWIND)
        CF.POTT = exchange_BC(GR, CF.POTT)

        # PRIMARY DIAGNOSTIC FIELDS
        #diagnose_fields_jacobson(GR, CF, on_host=True)
        diagnose_fields_initializaiton(GR, CF)

        # SECONDARY DIAGNOSTIC FIELDS
        CF.PAIR, CF.TAIR, CF.TAIRVB, CF.RHO, CF.WIND = \
                diagnose_secondary_fields(GR, CF.COLP, CF.PAIR, CF.PHI, CF.POTT, CF.POTTVB,
                                        CF.TAIR, CF.TAIRVB, CF.RHO,\
                                        CF.PVTF, CF.PVTFVB, CF.UWIND, CF.VWIND, CF.WIND)

        ####################################################################
        # INITIALIZE NON-ATMOSPHERIC COMPONENTS
        ####################################################################

        # SURF MODEL
        if i_surface_scheme:
            SURF = surface(GR, CF)
        else:
            SURF = None

        ####################################################################
        # INITIALIZE PROCESSES
        ####################################################################

        # MOISTURE & MICROPHYSICS
        if i_microphysics:
            MIC = microphysics(GR, CF, i_microphysics, CF.TAIR, CF.PAIR)
        else:
            MIC = None

        # RADIATION
        if i_radiation:
            if SURF is None:
                raise ValueError('Soil model must be used for i_radiation > 0')
            RAD = radiation(GR, i_radiation)
            rad_njobs_orig = RAD.njobs_rad
            RAD.njobs_rad = 4
            RAD.calc_radiation(GR, CF)
            RAD.njobs_rad = rad_njobs_orig
        else:
            RAD = None

        # TURBULENCE
        if i_turbulence:
            raise NotImplementedError('Baustelle')
            TURB = turbulence(GR, i_turbulence)
        else:
            TURB = None

    return (CF, RAD, SURF, MIC, TURB)
Example #9
0
def tendencies_jacobson(GR, GR_NEW, F, subgrids, NF):

    ##############################
    ##############################
    GR.timer.start('cont')
    if i_run_new_style == 1:

        if comp_mode == 1:

            NF.old_to_new(F, host=True)
            Tendencies.continuity(HOST, GR_NEW,
                        **NF.get(Tendencies.fields_continuity, target=HOST))
            NF.new_to_old(F, host=True)

        elif comp_mode == 2:

            NF.old_to_new(F, host=False)
            Tendencies.continuity(DEVICE, GR_NEW,
                    **NF.get(Tendencies.fields_continuity, target=DEVICE))
            NF.new_to_old(F, host=False)

    else:
        # PROGNOSE COLP
        if comp_mode == 1:
            F.dCOLPdt, F.UFLX, F.VFLX, F.FLXDIV = colp_tendency_jacobson_c(GR,
                                            F.COLP, F.UWIND, F.VWIND,
                                            F.dCOLPdt, F.UFLX, F.VFLX, F.FLXDIV)
            F.dCOLPdt = np.asarray(F.dCOLPdt)
            F.UFLX = np.asarray(F.UFLX)
            F.VFLX = np.asarray(F.VFLX)
            F.FLXDIV = np.asarray(F.FLXDIV)
            F.COLP_NEW[GR.iijj] = F.COLP_OLD[GR.iijj] + GR.dt*F.dCOLPdt[GR.iijj]

        elif comp_mode == 2:
            F.dCOLPdt, F.UFLX, F.VFLX, F.FLXDIV = \
                 colp_tendency_jacobson_gpu(GR, GR.griddim, GR.blockdim, GR.stream,
                                        F.dCOLPdt, F.UFLX, F.VFLX, F.FLXDIV,
                                        F.COLP, F.UWIND, F.VWIND,
                                        GR.dy, GR.dxjsd, GR.Ad, GR.dsigmad)
            time_step_2D[GR.griddim, GR.blockdim, GR.stream]\
                                (F.COLP_NEW, F.COLP_OLD, F.dCOLPdt, GR.dt)
            GR.stream.synchronize()


        # DIAGNOSE WWIND
        if comp_mode == 1:
            F.WWIND = vertical_wind_jacobson_c(GR, F.COLP_NEW,
                                    F.dCOLPdt, F.FLXDIV, F.WWIND)
            F.WWIND = np.asarray(F.WWIND)
            F.COLP_NEW = exchange_BC(GR, F.COLP_NEW)
            F.WWIND = exchange_BC(GR, F.WWIND)

        elif comp_mode == 2:
            vertical_wind_jacobson_gpu[GR.griddim_ks, GR.blockdim_ks, GR.stream]\
                                        (F.WWIND, F.dCOLPdt, F.FLXDIV,
                                        F.COLP_NEW, GR.sigma_vbd)
            GR.stream.synchronize()
            F.COLP_NEW = exchange_BC_gpu(F.COLP_NEW, GR.zonal, GR.merid,
                                        GR.griddim_xy, GR.blockdim_xy,
                                        GR.stream, array2D=True)
            F.WWIND = exchange_BC_gpu(F.WWIND, GR.zonalvb, GR.meridvb,
                                        GR.griddim_ks, GR.blockdim_ks, GR.stream)

    GR.timer.stop('cont')
    ##############################
    ##############################



    ##############################
    ##############################
    GR.timer.start('wind')
    # PROGNOSE WIND
    if comp_mode == 1:
        if i_run_new_style == 1:

            NF.old_to_new(F, host=True)
            Tendencies.momentum(HOST, GR_NEW,
                    **NF.get(Tendencies.fields_momentum, target=HOST))
                            
            NF.new_to_old(F, host=True)
        
        else:
            F.dUFLXdt, F.dVFLXdt = wind_tendency_jacobson_c(GR, njobs,
                                        F.UWIND, F.VWIND, F.WWIND,
                                        F.UFLX, F.dUFLXdt, F.VFLX, F.dVFLXdt,
                                        F.BFLX, F.CFLX, F.DFLX, F.EFLX,
                                        F.RFLX, F.QFLX, F.SFLX, F.TFLX, 
                                        F.WWIND_UWIND, F.WWIND_VWIND, 
                                        F.COLP, F.COLP_NEW, F.PHI,
                                        F.POTT, F.PVTF, F.PVTFVB)
            F.dUFLXdt = np.asarray(F.dUFLXdt)
            F.dVFLXdt = np.asarray(F.dVFLXdt)


    elif comp_mode == 2:
        if i_run_new_style == 1:

            NF.old_to_new(F, host=False)
            Tendencies.momentum(DEVICE, GR_NEW,
                    **NF.get(Tendencies.fields_momentum, target=DEVICE))
                            
            NF.new_to_old(F, host=False)

        else:
            F.dUFLXdt, F.dVFLXdt = wind_tendency_jacobson_gpu(GR,
                                        F.UWIND, F.VWIND, F.WWIND,
                                        F.UFLX, F.dUFLXdt, F.VFLX, F.dVFLXdt,
                                        F.BFLX, F.CFLX, F.DFLX, F.EFLX,
                                        F.RFLX, F.QFLX, F.SFLX, F.TFLX, 
                                        F.WWIND_UWIND, F.WWIND_VWIND, 
                                        F.COLP, F.COLP_NEW, F.PHI, F.POTT,
                                        F.PVTF, F.PVTFVB)

    GR.timer.stop('wind')
    ##############################
    ##############################



    ##############################
    ##############################
    GR.timer.start('temp')
    # PROGNOSE POTT
    if comp_mode == 1:
        if i_run_new_style == 1:

            NF.old_to_new(F, host=True)
            Tendencies.temperature(HOST, GR_NEW,
                        **NF.get(Tendencies.fields_temperature, target=HOST))
            NF.new_to_old(F, host=True)

        else:
            F.dPOTTdt = temperature_tendency_jacobson_c(GR, njobs,
                                    F.POTT, F.POTTVB, F.COLP, F.COLP_NEW,
                                    F.UFLX, F.VFLX, F.WWIND,
                                    F.dPOTTdt_RAD, F.dPOTTdt_MIC)
            F.dPOTTdt = np.asarray(F.dPOTTdt)


    elif comp_mode == 2:

        if i_run_new_style == 0:
            F.COLP          = cp.expand_dims(F.COLP, axis=2)
            F.COLP_NEW      = cp.expand_dims(F.COLP_NEW, axis=2)

        NF.old_to_new(F, host=False)
        Tendencies.temperature(DEVICE, GR_NEW,
                    **NF.get(Tendencies.fields_temperature, target=DEVICE))
        NF.new_to_old(F, host=False)

        if i_run_new_style == 0:
            F.COLP          = F.COLP.squeeze()
            F.COLP_NEW      = F.COLP_NEW.squeeze()

    GR.timer.stop('temp')
Example #10
0
                                                    [SGR.SGRmap_out_iijj])
        MIC.QC[SGR.GRmap_in_iijj]   = np.asarray(results[job_ind][1]['QC'] \
                                                    [SGR.SGRmap_out_iijj])

    for job_ind in range(0, njobs):
        SGR = subgrids[job_ind]

    for proc in processes:
        proc.join()

    #quit()

    time1 = time.time()
    print(time1 - time0)

    UFLX = exchange_BC(GR, UFLX)
    VFLX = exchange_BC(GR, VFLX)
    COLP = exchange_BC(GR, COLP)
    WWIND = exchange_BC(GR, WWIND)
    UWIND = exchange_BC(GR, UWIND)
    VWIND = exchange_BC(GR, VWIND)
    POTT = exchange_BC(GR, POTT)
    MIC.QV = exchange_BC(GR, MIC.QV)
    MIC.QC = exchange_BC(GR, MIC.QC)
    PHI = exchange_BC(GR, PHI)

    #print(UFLX[:,:,1].T)
    #print(VFLX[:,:,1].T)
    #print()

    #print(UFLX.shape)
Example #11
0
def RK4(GR, HGHT, TRACER, UWIND, VWIND, WIND, UFLX, VFLX, UFLXMP, VFLXMP,
        UUFLX, UVFLX, VUFLX, VVFLX, HSURF, i_spatial_discretization):

    if i_spatial_discretization == 'UPWIND':
        ########## level 1
        dHGHTdt, dUFLXMPdt, dVFLXMPdt, dTRACERdt = tendencies_upwind(
            GR, HGHT, TRACER, HSURF, UWIND, VWIND, WIND, UFLX, VFLX, UFLXMP,
            VFLXMP, UUFLX, UVFLX, VUFLX, VVFLX)

        # has to happen after masspoint_flux_tendency function
        UFLXMP_OLD = copy.deepcopy(UFLXMP)
        VFLXMP_OLD = copy.deepcopy(VFLXMP)
        HGHT_OLD = copy.deepcopy(HGHT)
        TRACER_OLD = copy.deepcopy(TRACER)

        UFLXMP_INT = copy.deepcopy(UFLXMP)
        VFLXMP_INT = copy.deepcopy(VFLXMP)
        HGHT_INT = copy.deepcopy(HGHT)
        TRACER_INT = copy.deepcopy(TRACER)

        dUFLXMP = GR.dt * dUFLXMPdt
        dVFLXMP = GR.dt * dVFLXMPdt
        dHGHT = GR.dt * dHGHTdt
        dTRACER = GR.dt * dTRACERdt

        UFLXMP_INT[GR.iijj] = UFLXMP_OLD[GR.iijj] + dUFLXMP / 2
        VFLXMP_INT[GR.iijj] = VFLXMP_OLD[GR.iijj] + dVFLXMP / 2
        HGHT_INT[GR.iijj] = HGHT_OLD[GR.iijj] + dHGHT / 2
        TRACER_INT[GR.iijj] = TRACER_OLD[GR.iijj] + dTRACER / 2
        UFLXMP_INT = exchange_BC(GR, UFLXMP_INT)
        VFLXMP_INT = exchange_BC(GR, VFLXMP_INT)
        HGHT_INT = exchange_BC(GR, HGHT_INT)
        TRACER_INT = exchange_BC(GR, TRACER_INT)

        UFLXMP[GR.iijj] = UFLXMP_OLD[GR.iijj] + dUFLXMP / 6
        VFLXMP[GR.iijj] = VFLXMP_OLD[GR.iijj] + dVFLXMP / 6
        HGHT[GR.iijj] = HGHT_OLD[GR.iijj] + dHGHT / 6
        TRACER[GR.iijj] = TRACER_OLD[GR.iijj] + dTRACER / 6

        UWIND, VWIND = diagnose_fields_upwind(GR, HGHT_INT, TRACER_INT, UWIND,
                                              VWIND, UFLXMP_INT, VFLXMP_INT,
                                              HSURF)

        ########## level 2
        dHGHTdt, dUFLXMPdt, dVFLXMPdt, dTRACERdt = tendencies_upwind(
            GR, HGHT_INT, TRACER_INT, HSURF, UWIND, VWIND, WIND, UFLX, VFLX,
            UFLXMP_INT, VFLXMP_INT, UUFLX, UVFLX, VUFLX, VVFLX)

        dUFLXMP = GR.dt * dUFLXMPdt
        dVFLXMP = GR.dt * dVFLXMPdt
        dHGHT = GR.dt * dHGHTdt
        dTRACER = GR.dt * dTRACERdt

        UFLXMP_INT[GR.iijj] = UFLXMP_OLD[GR.iijj] + dUFLXMP / 2
        VFLXMP_INT[GR.iijj] = VFLXMP_OLD[GR.iijj] + dVFLXMP / 2
        HGHT_INT[GR.iijj] = HGHT_OLD[GR.iijj] + dHGHT / 2
        TRACER_INT[GR.iijj] = TRACER_OLD[GR.iijj] + dTRACER / 2
        UFLXMP_INT = exchange_BC(GR, UFLXMP_INT)
        VFLXMP_INT = exchange_BC(GR, VFLXMP_INT)
        HGHT_INT = exchange_BC(GR, HGHT_INT)
        TRACER_INT = exchange_BC(GR, TRACER_INT)

        UFLXMP[GR.iijj] = UFLXMP[GR.iijj] + dUFLXMP / 3
        VFLXMP[GR.iijj] = VFLXMP[GR.iijj] + dVFLXMP / 3
        HGHT[GR.iijj] = HGHT[GR.iijj] + dHGHT / 3
        TRACER[GR.iijj] = TRACER[GR.iijj] + dTRACER / 3

        UWIND, VWIND = diagnose_fields_upwind(GR, HGHT_INT, TRACER_INT, UWIND,
                                              VWIND, UFLXMP_INT, VFLXMP_INT,
                                              HSURF)

        ########## level 3
        dHGHTdt, dUFLXMPdt, dVFLXMPdt, dTRACERdt = tendencies_upwind(
            GR, HGHT_INT, TRACER_INT, HSURF, UWIND, VWIND, WIND, UFLX, VFLX,
            UFLXMP_INT, VFLXMP_INT, UUFLX, UVFLX, VUFLX, VVFLX)

        dUFLXMP = GR.dt * dUFLXMPdt
        dVFLXMP = GR.dt * dVFLXMPdt
        dHGHT = GR.dt * dHGHTdt
        dTRACER = GR.dt * dTRACERdt

        UFLXMP_INT[GR.iijj] = UFLXMP_OLD[GR.iijj] + dUFLXMP
        VFLXMP_INT[GR.iijj] = VFLXMP_OLD[GR.iijj] + dVFLXMP
        HGHT_INT[GR.iijj] = HGHT_OLD[GR.iijj] + dHGHT
        TRACER_INT[GR.iijj] = TRACER_OLD[GR.iijj] + dTRACER
        UFLXMP_INT = exchange_BC(GR, UFLXMP_INT)
        VFLXMP_INT = exchange_BC(GR, VFLXMP_INT)
        HGHT_INT = exchange_BC(GR, HGHT_INT)
        TRACER_INT = exchange_BC(GR, TRACER_INT)

        UFLXMP[GR.iijj] = UFLXMP[GR.iijj] + dUFLXMP / 3
        VFLXMP[GR.iijj] = VFLXMP[GR.iijj] + dVFLXMP / 3
        HGHT[GR.iijj] = HGHT[GR.iijj] + dHGHT / 3
        TRACER[GR.iijj] = TRACER[GR.iijj] + dTRACER / 3

        UWIND, VWIND = diagnose_fields_upwind(GR, HGHT_INT, TRACER_INT, UWIND,
                                              VWIND, UFLXMP_INT, VFLXMP_INT,
                                              HSURF)

        ########## level 4
        dHGHTdt, dUFLXMPdt, dVFLXMPdt, dTRACERdt = tendencies_upwind(
            GR, HGHT_INT, TRACER_INT, HSURF, UWIND, VWIND, WIND, UFLX, VFLX,
            UFLXMP_INT, VFLXMP_INT, UUFLX, UVFLX, VUFLX, VVFLX)

        dUFLXMP = GR.dt * dUFLXMPdt
        dVFLXMP = GR.dt * dVFLXMPdt
        dHGHT = GR.dt * dHGHTdt
        dTRACER = GR.dt * dTRACERdt

        UFLXMP[GR.iijj] = UFLXMP[GR.iijj] + dUFLXMP / 6
        VFLXMP[GR.iijj] = VFLXMP[GR.iijj] + dVFLXMP / 6
        HGHT[GR.iijj] = HGHT[GR.iijj] + dHGHT / 6
        TRACER[GR.iijj] = TRACER[GR.iijj] + dTRACER / 6
        UFLXMP = exchange_BC(GR, UFLXMP)
        VFLXMP = exchange_BC(GR, VFLXMP)
        HGHT = exchange_BC(GR, HGHT)
        TRACER = exchange_BC(GR, TRACER)

        UWIND, VWIND = diagnose_fields_upwind(GR, HGHT, TRACER, UWIND, VWIND,
                                              UFLXMP, VFLXMP, HSURF)

    elif i_spatial_discretization == 'JACOBSON':
        ########## level 1
        dHGHTdt, dUFLXdt, dVFLXdt, dTRACERdt = tendencies_jacobson(
            GR, HGHT, TRACER, HSURF, UWIND, VWIND, WIND, UFLX, VFLX)

        # has to happen after masspoint_flux_tendency function
        UWIND_START = copy.deepcopy(UWIND)
        VWIND_START = copy.deepcopy(VWIND)
        HGHT_START = copy.deepcopy(HGHT)
        TRACER_START = copy.deepcopy(TRACER)

        UWIND_INT = copy.deepcopy(UWIND)
        VWIND_INT = copy.deepcopy(VWIND)
        HGHT_INT = copy.deepcopy(HGHT)
        TRACER_INT = copy.deepcopy(TRACER)

        dUFLX = GR.dt * dUFLXdt
        dVFLX = GR.dt * dVFLXdt
        dHGHT = GR.dt * dHGHTdt
        dTRACER = GR.dt * dTRACERdt

        # TIME STEPPING
        HGHTA_is_START, HGHTA_js_START = interp_HGHTA(GR, HGHT_START)
        HGHT_INT[GR.iijj] = HGHT_START[GR.iijj] + dHGHT / 2
        HGHT_INT = exchange_BC(GR, HGHT_INT)
        HGHTA_is_NEW, HGHTA_js_NEW = interp_HGHTA(GR, HGHT_INT)
        UWIND_INT[GR.iisjj] = UWIND_START[GR.iisjj] * HGHTA_is_START/HGHTA_is_NEW \
                            + dUFLX/2/HGHTA_is_NEW
        VWIND_INT[GR.iijjs] = VWIND_START[GR.iijjs] * HGHTA_js_START/HGHTA_js_NEW \
                            + dVFLX/2/HGHTA_js_NEW
        UWIND_INT = exchange_BC(GR, UWIND_INT)
        VWIND_INT = exchange_BC(GR, VWIND_INT)
        TRACER_INT[GR.iijj] = TRACER_START[GR.iijj] + dTRACER / 2
        TRACER_INT = exchange_BC(GR, TRACER_INT)

        HGHTA_is_START, HGHTA_js_START = interp_HGHTA(GR, HGHT_START)
        HGHT[GR.iijj] = HGHT_START[GR.iijj] + dHGHT / 6
        HGHT = exchange_BC(GR, HGHT)
        HGHTA_is_NEW, HGHTA_js_NEW = interp_HGHTA(GR, HGHT)
        UWIND[GR.iisjj] = UWIND_START[GR.iisjj] * HGHTA_is_START/HGHTA_is_NEW \
                        + dUFLX/6/HGHTA_is_NEW
        VWIND[GR.iijjs] = VWIND_START[GR.iijjs] * HGHTA_js_START/HGHTA_js_NEW \
                            + dVFLX/6/HGHTA_js_NEW
        UWIND = exchange_BC(GR, UWIND)
        VWIND = exchange_BC(GR, VWIND)
        TRACER[GR.iijj] = TRACER_START[GR.iijj] + dTRACER / 6
        TRACER = exchange_BC(GR, TRACER)

        #UWIND, VWIND = diagnose_fields_jacobson(GR, HGHT_INT, TRACER_INT,
        #                UWIND, VWIND, UFLXMP_INT, VFLXMP_INT, HSURF)

        ########## level 2
        dHGHTdt, dUFLXdt, dVFLXdt, dTRACERdt = tendencies_jacobson(
            GR, HGHT_INT, TRACER_INT, HSURF, UWIND_INT, VWIND_INT, WIND, UFLX,
            VFLX)

        dUFLX = GR.dt * dUFLXdt
        dVFLX = GR.dt * dVFLXdt
        dHGHT = GR.dt * dHGHTdt
        dTRACER = GR.dt * dTRACERdt

        HGHT_INT[GR.iijj] = HGHT_START[GR.iijj] + dHGHT / 2
        HGHT_INT = exchange_BC(GR, HGHT_INT)
        HGHTA_is_NEW, HGHTA_js_NEW = interp_HGHTA(GR, HGHT_INT)
        UWIND_INT[GR.iisjj] = UWIND_START[GR.iisjj] * HGHTA_is_START/HGHTA_is_NEW \
                            + dUFLX/2/HGHTA_is_NEW
        VWIND_INT[GR.iijjs] = VWIND_START[GR.iijjs] * HGHTA_js_START/HGHTA_js_NEW \
                            + dVFLX/2/HGHTA_js_NEW
        UWIND_INT = exchange_BC(GR, UWIND_INT)
        VWIND_INT = exchange_BC(GR, VWIND_INT)
        TRACER_INT[GR.iijj] = TRACER_START[GR.iijj] + dTRACER / 2
        TRACER_INT = exchange_BC(GR, TRACER_INT)

        HGHT_OLD = copy.deepcopy(HGHT)
        HGHTA_is_OLD, HGHTA_js_OLD = interp_HGHTA(GR, HGHT_OLD)
        HGHT[GR.iijj] = HGHT[GR.iijj] + dHGHT / 3
        HGHT = exchange_BC(GR, HGHT)
        HGHTA_is_NEW, HGHTA_js_NEW = interp_HGHTA(GR, HGHT)
        UWIND[GR.iisjj] = UWIND[GR.iisjj] * HGHTA_is_OLD/HGHTA_is_NEW \
                        + dUFLX/3/HGHTA_is_NEW
        VWIND[GR.iijjs] = VWIND[GR.iijjs] * HGHTA_js_OLD/HGHTA_js_NEW \
                            + dVFLX/3/HGHTA_js_NEW
        UWIND = exchange_BC(GR, UWIND)
        VWIND = exchange_BC(GR, VWIND)
        TRACER[GR.iijj] = TRACER[GR.iijj] + dTRACER / 3
        TRACER = exchange_BC(GR, TRACER)

        #UWIND, VWIND = diagnose_fields_jacobson(GR, HGHT_INT, TRACER_INT,
        #                UWIND, VWIND, UFLXMP_INT, VFLXMP_INT, HSURF)

        ########## level 3
        dHGHTdt, dUFLXdt, dVFLXdt, dTRACERdt = tendencies_jacobson(
            GR, HGHT_INT, TRACER_INT, HSURF, UWIND_INT, VWIND_INT, WIND, UFLX,
            VFLX)

        dUFLX = GR.dt * dUFLXdt
        dVFLX = GR.dt * dVFLXdt
        dHGHT = GR.dt * dHGHTdt
        dTRACER = GR.dt * dTRACERdt

        HGHT_INT[GR.iijj] = HGHT_START[GR.iijj] + dHGHT
        HGHT_INT = exchange_BC(GR, HGHT_INT)
        HGHTA_is_NEW, HGHTA_js_NEW = interp_HGHTA(GR, HGHT_INT)
        UWIND_INT[GR.iisjj] = UWIND_START[GR.iisjj] * HGHTA_is_START/HGHTA_is_NEW \
                            + dUFLX/HGHTA_is_NEW
        VWIND_INT[GR.iijjs] = VWIND_START[GR.iijjs] * HGHTA_js_START/HGHTA_js_NEW \
                            + dVFLX/HGHTA_js_NEW
        UWIND_INT = exchange_BC(GR, UWIND_INT)
        VWIND_INT = exchange_BC(GR, VWIND_INT)
        TRACER_INT[GR.iijj] = TRACER_START[GR.iijj] + dTRACER
        TRACER_INT = exchange_BC(GR, TRACER_INT)

        HGHT_OLD = copy.deepcopy(HGHT)
        HGHTA_is_OLD, HGHTA_js_OLD = interp_HGHTA(GR, HGHT_OLD)
        HGHT[GR.iijj] = HGHT[GR.iijj] + dHGHT / 3
        HGHT = exchange_BC(GR, HGHT)
        HGHTA_is_NEW, HGHTA_js_NEW = interp_HGHTA(GR, HGHT)
        UWIND[GR.iisjj] = UWIND[GR.iisjj] * HGHTA_is_OLD/HGHTA_is_NEW \
                        + dUFLX/3/HGHTA_is_NEW
        VWIND[GR.iijjs] = VWIND[GR.iijjs] * HGHTA_js_OLD/HGHTA_js_NEW \
                            + dVFLX/3/HGHTA_js_NEW
        UWIND = exchange_BC(GR, UWIND)
        VWIND = exchange_BC(GR, VWIND)
        TRACER[GR.iijj] = TRACER[GR.iijj] + dTRACER / 3
        TRACER = exchange_BC(GR, TRACER)

        #UWIND, VWIND = diagnose_fields_jacobson(GR, HGHT_INT, TRACER_INT,
        #                UWIND, VWIND, UFLXMP_INT, VFLXMP_INT, HSURF)

        ########## level 4
        dHGHTdt, dUFLXdt, dVFLXdt, dTRACERdt = tendencies_jacobson(
            GR, HGHT_INT, TRACER_INT, HSURF, UWIND_INT, VWIND_INT, WIND, UFLX,
            VFLX)

        dUFLX = GR.dt * dUFLXdt
        dVFLX = GR.dt * dVFLXdt
        dHGHT = GR.dt * dHGHTdt
        dTRACER = GR.dt * dTRACERdt

        HGHT_OLD = copy.deepcopy(HGHT)
        HGHTA_is_OLD, HGHTA_js_OLD = interp_HGHTA(GR, HGHT_OLD)
        HGHT[GR.iijj] = HGHT[GR.iijj] + dHGHT / 6
        HGHT = exchange_BC(GR, HGHT)
        HGHTA_is_NEW, HGHTA_js_NEW = interp_HGHTA(GR, HGHT)
        UWIND[GR.iisjj] = UWIND[GR.iisjj] * HGHTA_is_OLD/HGHTA_is_NEW \
                        + dUFLX/6/HGHTA_is_NEW
        VWIND[GR.iijjs] = VWIND[GR.iijjs] * HGHTA_js_OLD/HGHTA_js_NEW \
                            + dVFLX/6/HGHTA_js_NEW
        UWIND = exchange_BC(GR, UWIND)
        VWIND = exchange_BC(GR, VWIND)
        TRACER[GR.iijj] = TRACER[GR.iijj] + dTRACER / 6
        TRACER = exchange_BC(GR, TRACER)

        #UWIND, VWIND = diagnose_fields_jacobson(GR, HGHT, TRACER,
        #                UWIND, VWIND, UFLXMP, VFLXMP, HSURF)

    return (HGHT, TRACER, UWIND, VWIND, UFLX, VFLX, UFLXMP, VFLXMP, UUFLX,
            UVFLX, VUFLX, VVFLX, HSURF)
Example #12
0
    def __init__(self):

        # GRID DEFINITION IN DEGREES 
        self.lon0_deg = lon0_deg
        self.lon1_deg = lon1_deg
        self.lat0_deg = lat0_deg
        self.lat1_deg = lat1_deg
        self.dlon_deg = dlon_deg
        self.dlat_deg = dlat_deg

        # GRID DEFINITION IN RADIANS
        self.lon0_rad = self.lon0_deg/180*np.pi
        self.lon1_rad = self.lon1_deg/180*np.pi
        self.lat0_rad = self.lat0_deg/180*np.pi
        self.lat1_rad = self.lat1_deg/180*np.pi
        self.dlon_rad = self.dlon_deg/180*np.pi
        self.dlat_rad = self.dlat_deg/180*np.pi

        # NUMBER OF GRID POINTS IN EACH DIMENSION
        self.nx = int((self.lon1_deg - self.lon0_deg)/self.dlon_deg)
        self.nxs = self.nx + 1
        self.ny = int((self.lat1_deg - self.lat0_deg)/self.dlat_deg)
        self.nys = self.ny + 1
        self.nb = nb

        # INDEX ARRAYS
        self.ii = np.arange((self.nb),(self.nx+self.nb)) 
        self.jj = np.arange((self.nb),(self.ny+self.nb)) 
        self.iis = np.arange((self.nb),(self.nxs+self.nb)) 
        self.jjs = np.arange((self.nb),(self.nys+self.nb)) 

        self.iijj           = np.ix_(self.ii   ,self.jj  )
        self.iijj_im1       = np.ix_(self.ii-1 ,self.jj  )
        self.iijj_im1_jp1   = np.ix_(self.ii-1 ,self.jj+1)
        self.iijj_ip1       = np.ix_(self.ii+1 ,self.jj  )
        self.iijj_ip1_jm1   = np.ix_(self.ii+1 ,self.jj-1)
        self.iijj_ip1_jp1   = np.ix_(self.ii+1 ,self.jj+1)
        self.iijj_jm1       = np.ix_(self.ii   ,self.jj-1)
        self.iijj_jp1       = np.ix_(self.ii   ,self.jj+1)

        self.iisjj          = np.ix_(self.iis  ,self.jj  )
        self.iisjj_jm1      = np.ix_(self.iis  ,self.jj-1)
        self.iisjj_jp1      = np.ix_(self.iis  ,self.jj+1)
        self.iisjj_im1      = np.ix_(self.iis-1,self.jj  )
        self.iisjj_im1_jm1  = np.ix_(self.iis-1,self.jj-1)
        self.iisjj_im1_jp1  = np.ix_(self.iis-1,self.jj+1)
        self.iisjj_ip1      = np.ix_(self.iis+1,self.jj  )
        self.iisjj_ip1_jm1  = np.ix_(self.iis+1,self.jj-1)
        self.iisjj_ip1_jp1  = np.ix_(self.iis+1,self.jj+1)

        self.iijjs          = np.ix_(self.ii  ,self.jjs  )
        self.iijjs_im1      = np.ix_(self.ii-1,self.jjs  )
        self.iijjs_ip1      = np.ix_(self.ii+1,self.jjs  )
        self.iijjs_jm1      = np.ix_(self.ii  ,self.jjs-1)
        self.iijjs_im1_jm1  = np.ix_(self.ii-1,self.jjs-1)
        self.iijjs_im1_jp1  = np.ix_(self.ii-1,self.jjs+1)
        self.iijjs_ip1_jm1  = np.ix_(self.ii+1,self.jjs-1)
        self.iijjs_ip1_jp1  = np.ix_(self.ii+1,self.jjs+1)
        self.iijjs_jp1      = np.ix_(self.ii  ,self.jjs+1)

        self.iisjjs         = np.ix_(self.iis  ,self.jjs  )
        self.iisjjs_im1     = np.ix_(self.iis-1,self.jjs  )
        self.iisjjs_im1_jm1 = np.ix_(self.iis-1,self.jjs-1)
        self.iisjjs_im1_jp1 = np.ix_(self.iis-1,self.jjs+1)
        self.iisjjs_ip1     = np.ix_(self.iis+1,self.jjs  )
        self.iisjjs_ip1_jm1 = np.ix_(self.iis+1,self.jjs-1)
        self.iisjjs_jm1     = np.ix_(self.iis  ,self.jjs-1)
        self.iisjjs_jp1     = np.ix_(self.iis  ,self.jjs+1)

        # 2D MATRIX OF LONGITUDES AND LATITUDES IN DEGREES
        self.lon_deg = np.full( (self.nx+2*self.nb,self.ny+2*self.nb), np.nan)
        self.lat_deg = np.full( (self.nx+2*self.nb,self.ny+2*self.nb), np.nan)
        self.lonis_deg = np.full( (self.nxs+2*self.nb,self.ny+2*self.nb), np.nan)
        self.latis_deg = np.full( (self.nxs+2*self.nb,self.ny+2*self.nb), np.nan)
        self.lonjs_deg = np.full( (self.nx+2*self.nb,self.nys+2*self.nb), np.nan)
        self.latjs_deg = np.full( (self.nx+2*self.nb,self.nys+2*self.nb), np.nan)

        for j in range(self.nb, self.ny+self.nb):
            self.lon_deg[self.ii,j] = self.lon0_deg + \
                                    (self.ii-self.nb+0.5)*self.dlon_deg
            self.lonis_deg[self.iis,j] = self.lon0_deg + \
                                    (self.iis-self.nb)*self.dlon_deg
        for j_s in range(self.nb, self.nys+self.nb):
            self.lonjs_deg[self.ii,j_s] = self.lon0_deg + \
                                    (self.ii-self.nb+0.5)*self.dlon_deg

        for i in range(self.nb, self.nx+self.nb):
            self.lat_deg[i,self.jj] = self.lat0_deg + \
                                    (self.jj-self.nb+0.5)*self.dlat_deg
            self.latjs_deg[i,self.jjs] = self.lat0_deg + \
                                    (self.jjs-self.nb)*self.dlat_deg
        for i_s in range(self.nb, self.nxs+self.nb):
            self.latis_deg[i_s,self.jj] = self.lat0_deg + \
                                    (self.jj-self.nb+0.5)*self.dlat_deg

        # 2D MATRIX OF LONGITUDES AND LATITUDES IN RADIANS
        self.lon_rad = self.lon_deg/180*np.pi
        self.lat_rad = self.lat_deg/180*np.pi
        self.lonis_rad = self.lonis_deg/180*np.pi
        self.latis_rad = self.latis_deg/180*np.pi
        self.lonjs_rad = self.lonjs_deg/180*np.pi
        self.latjs_rad = self.latjs_deg/180*np.pi

        # 2D MATRIX OF GRID SPACING IN METERS
        self.dx = np.full( (self.nx+2*self.nb,self.ny+2*self.nb), np.nan)
        self.dxjs = np.full( (self.nx+2*self.nb,self.nys+2*self.nb), np.nan)
        self.dxis = np.full( (self.nxs+2*self.nb,self.ny+2*self.nb), np.nan)

        self.dx[self.iijj] = np.cos( self.lat_rad[self.iijj] )*self.dlon_rad*con_rE 
        self.dxjs[self.iijjs] = np.cos( self.latjs_rad[self.iijjs] )*self.dlon_rad*con_rE 
        self.dx = exchange_BC_rigid_y(self, self.dx)
        self.dxjs = exchange_BC_rigid_y(self, self.dxjs)
        #self.dxis[self.iisjj] = np.cos( self.latis_rad[self.iisjj] )*self.dlon_rad*con_rE 
        self.dy = self.dlat_rad*con_rE

        if not i_curved_earth:
            maxdx = np.max(self.dx[self.iijj])
            self.dx[self.iijj] = maxdx
            self.dxjs[self.iijjs] = maxdx
            self.dxis[self.iisjj] = maxdx

        self.A = np.full( (self.nx+2*self.nb,self.ny+2*self.nb), np.nan)
        for i in self.ii:
            for j in self.jj:
                #lon0 = self.lonis_rad[i,j]
                #lon1 = self.lonis_rad[i+1,j]
                #lat0 = self.latjs_rad[i,j]
                #lat1 = self.latjs_rad[i,j+1]
                #self.A[i,j] = lat_lon_recangle_area(lon0,lon1,lat0,lat1, i_curved_earth)
                self.A[i,j] = lat_lon_recangle_area(self.lat_rad[i,j],
                                    self.dlon_rad, self.dlat_rad, i_curved_earth)
        self.A = exchange_BC(self, self.A)

        print('fraction of earth covered: ' + str(np.round(np.sum(self.A[self.iijj])/(4*np.pi*con_rE**2),2)))
        print('fraction of cylinder covered: ' + str(np.round(np.sum(self.A[self.iijj])/(2*np.pi**2*con_rE**2),2)))

        # CORIOLIS FORCE
        self.corf = np.full( (self.nx+2*self.nb,self.ny+2*self.nb), np.nan)
        self.corf_is = np.full( (self.nxs+2*self.nb,self.ny+2*self.nb), np.nan)
        self.corf_js = np.full( (self.nx+2*self.nb,self.nys+2*self.nb), np.nan)
        self.corf[self.iijj] = 2*con_omega*np.sin(self.lat_rad[self.iijj])
        self.corf_is[self.iisjj] = 2*con_omega*np.sin(self.latis_rad[self.iisjj])
        self.corf_js[self.iijjs] = 2*con_omega*np.sin(self.latjs_rad[self.iijjs])

        # TIME STEP
        mindx = np.nanmin(self.dx)
        self.CFL = CFL
        self.i_out_nth_hour = i_out_nth_hour
        self.i_sim_n_days = i_sim_n_days
        self.dt = int(self.CFL*mindx/340)
        while i_out_nth_hour*3600 % self.dt > 0:
            self.dt -= 1
        self.nts = i_sim_n_days*3600*24/self.dt
        self.ts = 0
        self.i_out_nth_ts = int(self.i_out_nth_hour*3600 / self.dt)