|
7 | 7 | import numpy as np |
8 | 8 |
|
9 | 9 | from parcels.field import Field |
| 10 | +from parcels.tools.statuscodes import ( |
| 11 | + FieldOutOfBoundError, |
| 12 | +) |
10 | 13 |
|
11 | 14 | if TYPE_CHECKING: |
12 | 15 | from parcels.uxgrid import _UXGRID_AXES |
| 16 | + from parcels.xgrid import _XGRID_AXES |
13 | 17 |
|
14 | 18 | __all__ = [ |
15 | 19 | "UXPiecewiseConstantFace", |
16 | 20 | "UXPiecewiseLinearNode", |
| 21 | + "XBiLinear", |
| 22 | + "XBiLinearPeriodic", |
| 23 | + "XTriLinear", |
17 | 24 | ] |
18 | 25 |
|
19 | 26 |
|
| 27 | +def XBiLinear( |
| 28 | + field: Field, |
| 29 | + ti: int, |
| 30 | + position: dict[_XGRID_AXES, tuple[int, float | np.ndarray]], |
| 31 | + tau: np.float32 | np.float64, |
| 32 | + t: np.float32 | np.float64, |
| 33 | + z: np.float32 | np.float64, |
| 34 | + y: np.float32 | np.float64, |
| 35 | + x: np.float32 | np.float64, |
| 36 | +): |
| 37 | + """Bilinear interpolation on a regular grid.""" |
| 38 | + xi, xsi = position["X"] |
| 39 | + yi, eta = position["Y"] |
| 40 | + zi, _ = position["Z"] |
| 41 | + |
| 42 | + data = field.data.data[:, zi, yi : yi + 2, xi : xi + 2] |
| 43 | + data = (1 - tau) * data[ti, :, :] + tau * data[ti + 1, :, :] |
| 44 | + |
| 45 | + return ( |
| 46 | + (1 - xsi) * (1 - eta) * data[0, 0] |
| 47 | + + xsi * (1 - eta) * data[0, 1] |
| 48 | + + xsi * eta * data[1, 1] |
| 49 | + + (1 - xsi) * eta * data[1, 0] |
| 50 | + ) |
| 51 | + |
| 52 | + |
| 53 | +def XBiLinearPeriodic( |
| 54 | + field: Field, |
| 55 | + ti: int, |
| 56 | + position: dict[_XGRID_AXES, tuple[int, float | np.ndarray]], |
| 57 | + tau: np.float32 | np.float64, |
| 58 | + t: np.float32 | np.float64, |
| 59 | + z: np.float32 | np.float64, |
| 60 | + y: np.float32 | np.float64, |
| 61 | + x: np.float32 | np.float64, |
| 62 | +): |
| 63 | + """Bilinear interpolation on a regular grid with periodic boundary conditions in horizontal directions.""" |
| 64 | + xi, xsi = position["X"] |
| 65 | + yi, eta = position["Y"] |
| 66 | + zi, _ = position["Z"] |
| 67 | + |
| 68 | + if xi < 0: |
| 69 | + xi = 0 |
| 70 | + xsi = (x - field.grid.lon[xi]) / (field.grid.lon[xi + 1] - field.grid.lon[xi]) |
| 71 | + if yi < 0: |
| 72 | + yi = 0 |
| 73 | + eta = (y - field.grid.lat[yi]) / (field.grid.lat[yi + 1] - field.grid.lat[yi]) |
| 74 | + |
| 75 | + data = field.data.data[:, zi, yi : yi + 2, xi : xi + 2] |
| 76 | + data = (1 - tau) * data[ti, :, :] + tau * data[ti + 1, :, :] |
| 77 | + |
| 78 | + xsi = 0 if not np.isfinite(xsi) else xsi |
| 79 | + eta = 0 if not np.isfinite(eta) else eta |
| 80 | + |
| 81 | + if xsi > 0 and eta > 0: |
| 82 | + return ( |
| 83 | + (1 - xsi) * (1 - eta) * data[0, 0] |
| 84 | + + xsi * (1 - eta) * data[0, 1] |
| 85 | + + xsi * eta * data[1, 1] |
| 86 | + + (1 - xsi) * eta * data[1, 0] |
| 87 | + ) |
| 88 | + elif xsi > 0 and eta == 0: |
| 89 | + return (1 - xsi) * data[0, 0] + xsi * data[0, 1] |
| 90 | + elif xsi == 0 and eta > 0: |
| 91 | + return (1 - eta) * data[0, 0] + eta * data[1, 0] |
| 92 | + else: |
| 93 | + return data[0, 0] |
| 94 | + |
| 95 | + |
| 96 | +def XTriLinear( |
| 97 | + field: Field, |
| 98 | + ti: int, |
| 99 | + position: dict[_XGRID_AXES, tuple[int, float | np.ndarray]], |
| 100 | + tau: np.float32 | np.float64, |
| 101 | + t: np.float32 | np.float64, |
| 102 | + z: np.float32 | np.float64, |
| 103 | + y: np.float32 | np.float64, |
| 104 | + x: np.float32 | np.float64, |
| 105 | +): |
| 106 | + """Trilinear interpolation on a regular grid.""" |
| 107 | + xi, xsi = position["X"] |
| 108 | + yi, eta = position["Y"] |
| 109 | + zi, zeta = position["Z"] |
| 110 | + |
| 111 | + if zi < 0 or xi < 0 or yi < 0: |
| 112 | + raise FieldOutOfBoundError |
| 113 | + |
| 114 | + data = field.data.data[:, zi : zi + 2, yi : yi + 2, xi : xi + 2] |
| 115 | + data = (1 - tau) * data[ti, :, :, :] + tau * data[ti + 1, :, :, :] |
| 116 | + if zeta > 0: |
| 117 | + data = (1 - zeta) * data[0, :, :] + zeta * data[1, :, :] |
| 118 | + else: |
| 119 | + data = data[0, :, :] |
| 120 | + |
| 121 | + xsi = 0 if not np.isfinite(xsi) else xsi |
| 122 | + eta = 0 if not np.isfinite(eta) else eta |
| 123 | + |
| 124 | + if xsi > 0 and eta > 0: |
| 125 | + return ( |
| 126 | + (1 - xsi) * (1 - eta) * data[0, 0] |
| 127 | + + xsi * (1 - eta) * data[0, 1] |
| 128 | + + xsi * eta * data[1, 1] |
| 129 | + + (1 - xsi) * eta * data[1, 0] |
| 130 | + ) |
| 131 | + elif xsi > 0 and eta == 0: |
| 132 | + return (1 - xsi) * data[0, 0] + xsi * data[0, 1] |
| 133 | + elif xsi == 0 and eta > 0: |
| 134 | + return (1 - eta) * data[0, 0] + eta * data[1, 0] |
| 135 | + else: |
| 136 | + return data[0, 0] |
| 137 | + |
| 138 | + |
20 | 139 | def UXPiecewiseConstantFace( |
21 | 140 | field: Field, |
22 | 141 | ti: int, |
|
0 commit comments