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burgers/burgers.py

Lines changed: 30 additions & 30 deletions
Original file line numberDiff line numberDiff line change
@@ -195,7 +195,7 @@ def evolve(self, C, tmax):
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self.t = 0.0
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g = self.grid
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# main evolution loop
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while (self.t < tmax):
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@@ -222,80 +222,80 @@ def evolve(self, C, tmax):
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self.t += dt
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if __name__=="__main__":
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if __name__ == "__main__":
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#-----------------------------------------------------------------------------
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# sine
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xmin = 0.0
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xmax = 1.0
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nx = 256
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ng = 2
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g = Grid1d(nx, ng, bc="periodic")
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# maximum evolution time based on period for unit velocity
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tmax = (xmax - xmin)/1.0
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C = 0.8
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plt.clf()
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s = Simulation(g)
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for i in range(0, 10):
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tend = (i+1)*0.02*tmax
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s.init_cond("sine")
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uinit = s.grid.u.copy()
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s.evolve(C, tend)
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c = 1.0 - (0.1 + i*0.1)
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g = s.grid
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plt.plot(g.x[g.ilo:g.ihi+1], g.u[g.ilo:g.ihi+1], color=str(c))
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g = s.grid
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plt.plot(g.x[g.ilo:g.ihi+1], uinit[g.ilo:g.ihi+1], ls=":", color="0.9", zorder=-1)
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plt.xlabel("$x$")
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plt.ylabel("$u$")
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plt.savefig("fv-burger-sine.pdf")
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#-----------------------------------------------------------------------------
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# rarefaction
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xmin = 0.0
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xmax = 1.0
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nx = 256
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ng = 2
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g = Grid1d(nx, ng, bc="outflow")
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# maximum evolution time based on period for unit velocity
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tmax = (xmax - xmin)/1.0
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C = 0.8
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plt.clf()
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s = Simulation(g)
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for i in range(0, 10):
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tend = (i+1)*0.02*tmax
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s.init_cond("rarefaction")
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uinit = s.grid.u.copy()
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s.evolve(C, tend)
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c = 1.0 - (0.1 + i*0.1)
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plt.plot(g.x[g.ilo:g.ihi+1], g.u[g.ilo:g.ihi+1], color=str(c))
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plt.plot(g.x[g.ilo:g.ihi+1], uinit[g.ilo:g.ihi+1], ls=":", color="0.9", zorder=-1)
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plt.xlabel("$x$")
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plt.ylabel("$u$")
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plt.savefig("fv-burger-rarefaction.pdf")

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