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204 lines
7.8 KiB
Python
204 lines
7.8 KiB
Python
# -*- coding: utf-8 -*-
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"""
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This python module implements
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Alina Chertock, Michael Dudzinski, A. Kurganov & Maria Lukacova-Medvidova (2016)
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Well-Balanced Schemes for the Shallow Water Equations with Coriolis Forces
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Copyright (C) 2016 SINTEF ICT
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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"""
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#Import packages we need
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import numpy as np
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import pyopencl as cl #OpenCL in Python
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import Common
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"""
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Class that solves the SW equations using the Forward-Backward linear scheme
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"""
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class CDKLM16:
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"""
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Initialization routine
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h0: Water depth incl ghost cells, (nx+1)*(ny+1) cells
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u0: Initial momentum along x-axis incl ghost cells, (nx+1)*(ny+1) cells
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v0: Initial momentum along y-axis incl ghost cells, (nx+1)*(ny+1) cells
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nx: Number of cells along x-axis
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ny: Number of cells along y-axis
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dx: Grid cell spacing along x-axis (20 000 m)
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dy: Grid cell spacing along y-axis (20 000 m)
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dt: Size of each timestep (90 s)
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g: Gravitational accelleration (9.81 m/s^2)
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f: Coriolis parameter (1.2e-4 s^1)
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r: Bottom friction coefficient (2.4e-3 m/s)
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"""
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def __init__(self, \
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cl_ctx, \
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h0, hu0, hv0, \
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nx, ny, \
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dx, dy, dt, \
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g, f, r, \
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theta=1.3, use_rk2=True,
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wind_stress=Common.WindStressParams(), \
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block_width=16, block_height=16):
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self.cl_ctx = cl_ctx
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#Create an OpenCL command queue
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self.cl_queue = cl.CommandQueue(self.cl_ctx)
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#Get kernels
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self.kernel = Common.get_kernel(self.cl_ctx, "CDKLM16_kernel.opencl", block_width, block_height)
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#Create data by uploading to device
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ghost_cells_x = 3
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ghost_cells_y = 3
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self.cl_data = Common.SWEDataArkawaA(self.cl_ctx, nx, ny, ghost_cells_x, ghost_cells_y, h0, hu0, hv0)
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#Save input parameters
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#Notice that we need to specify them in the correct dataformat for the
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#OpenCL kernel
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self.nx = np.int32(nx)
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self.ny = np.int32(ny)
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self.dx = np.float32(dx)
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self.dy = np.float32(dy)
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self.dt = np.float32(dt)
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self.g = np.float32(g)
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self.f = np.float32(f)
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self.r = np.float32(r)
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self.theta = np.float32(theta)
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self.use_rk2 = use_rk2
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self.wind_stress = wind_stress
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#Initialize time
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self.t = np.float32(0.0)
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#Compute kernel launch parameters
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self.local_size = (block_width, block_height)
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self.global_size = ( \
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int(np.ceil(self.nx / float(self.local_size[0])) * self.local_size[0]), \
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int(np.ceil(self.ny / float(self.local_size[1])) * self.local_size[1]) \
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)
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"""
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Function which steps n timesteps
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"""
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def step(self, t_end=0.0):
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n = int(t_end / self.dt + 1)
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for i in range(0, n):
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local_dt = np.float32(min(self.dt, t_end-i*self.dt))
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if (local_dt <= 0.0):
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break
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if (self.use_rk2):
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self.kernel.swe_2D(self.cl_queue, self.global_size, self.local_size, \
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self.nx, self.ny, \
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self.dx, self.dy, local_dt, \
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self.g, \
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self.theta, \
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self.f, \
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self.r, \
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np.int32(0), \
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self.cl_data.h0.data, self.cl_data.h0.pitch, \
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self.cl_data.hu0.data, self.cl_data.hu0.pitch, \
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self.cl_data.hv0.data, self.cl_data.hv0.pitch, \
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self.cl_data.h1.data, self.cl_data.h1.pitch, \
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self.cl_data.hu1.data, self.cl_data.hu1.pitch, \
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self.cl_data.hv1.data, self.cl_data.hv1.pitch, \
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self.wind_stress.type, \
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self.wind_stress.tau0, self.wind_stress.rho, self.wind_stress.alpha, self.wind_stress.xm, self.wind_stress.Rc, \
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self.wind_stress.x0, self.wind_stress.y0, \
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self.wind_stress.u0, self.wind_stress.v0, \
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self.t)
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self.kernel.swe_2D(self.cl_queue, self.global_size, self.local_size, \
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self.nx, self.ny, \
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self.dx, self.dy, local_dt, \
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self.g, \
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self.theta, \
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self.f, \
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self.r, \
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np.int32(1), \
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self.cl_data.h1.data, self.cl_data.h1.pitch, \
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self.cl_data.hu1.data, self.cl_data.hu1.pitch, \
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self.cl_data.hv1.data, self.cl_data.hv1.pitch, \
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self.cl_data.h0.data, self.cl_data.h0.pitch, \
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self.cl_data.hu0.data, self.cl_data.hu0.pitch, \
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self.cl_data.hv0.data, self.cl_data.hv0.pitch, \
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self.wind_stress.type, \
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self.wind_stress.tau0, self.wind_stress.rho, self.wind_stress.alpha, self.wind_stress.xm, self.wind_stress.Rc, \
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self.wind_stress.x0, self.wind_stress.y0, \
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self.wind_stress.u0, self.wind_stress.v0, \
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self.t)
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else:
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self.kernel.swe_2D(self.cl_queue, self.global_size, self.local_size, \
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self.nx, self.ny, \
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self.dx, self.dy, local_dt, \
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self.g, \
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self.theta, \
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self.f, \
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self.r, \
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np.int32(0), \
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self.cl_data.h0.data, self.cl_data.h0.pitch, \
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self.cl_data.hu0.data, self.cl_data.hu0.pitch, \
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self.cl_data.hv0.data, self.cl_data.hv0.pitch, \
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self.cl_data.h1.data, self.cl_data.h1.pitch, \
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self.cl_data.hu1.data, self.cl_data.hu1.pitch, \
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self.cl_data.hv1.data, self.cl_data.hv1.pitch, \
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self.wind_stress.type, \
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self.wind_stress.tau0, self.wind_stress.rho, self.wind_stress.alpha, self.wind_stress.xm, self.wind_stress.Rc, \
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self.wind_stress.x0, self.wind_stress.y0, \
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self.wind_stress.u0, self.wind_stress.v0, \
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self.t)
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self.cl_data.swap()
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self.t += local_dt
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return self.t
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"""
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Static function which reads a text file and creates an OpenCL kernel from that
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"""
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def get_kernel(self, kernel_filename):
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#Read the proper program
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module_path = os.path.dirname(os.path.realpath(__file__))
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fullpath = os.path.join(module_path, kernel_filename)
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with open(fullpath, "r") as kernel_file:
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kernel_string = kernel_file.read()
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kernel = cl.Program(self.cl_ctx, kernel_string).build()
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return kernel
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def download(self):
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return self.cl_data.download(self.cl_queue)
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