Updated files to work correctly.
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@ -1 +1,6 @@
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Solve the boundary layer velocity profile using a finite difference method. Directly animate the result.
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# Blflow
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This code solves the boundary layer velocity profile that occurs due to an
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acoustic wave in the vicinity of a wall. In a small layer (the viscous boundary
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layer thickness ($\delta_\nu$)), the presence of the wall affects the velocity
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field which would otherwise be a "plug" flow.
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10
blflow.py
Normal file → Executable file
10
blflow.py
Normal file → Executable file
@ -46,15 +46,13 @@ def u_np1(un, tn, dt):
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un0 = np.zeros(n, float)
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un0 = np.zeros(n, float)
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t = 0
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t = 0
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un = un0
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un = un0
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# un.append(un0)
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# Make the plot
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# plt.ioff()
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f = plt.figure(1, figsize=(12, 6))
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f = plt.figure(1, figsize=(12, 6))
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linefd, = plt.plot(un0, y)
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linefd, = plt.plot(un0, y)
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linee, = plt.plot(un0, y)
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linee, = plt.plot(un0, y)
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plt.legend(('Finite difference', 'Periodic exact'))
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plt.legend(('Finite difference', 'Periodic exact'),
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loc='lower right')
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plt.ylim(0, 1)
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plt.ylim(0, 1)
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plt.xlim(-1.5, 1.5)
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plt.xlim(-1.5, 1.5)
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plt.ylabel('Distance from wall [m]')
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plt.ylabel('Distance from wall [m]')
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@ -69,11 +67,11 @@ try:
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t += dt
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t += dt
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uold = un
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uold = un
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un = u_np1(uold, t, dt)
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un = u_np1(uold, t, dt)
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if(i % 100 == 0):
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if(i % 25 == 0):
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linefd.set_xdata(un)
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linefd.set_xdata(un)
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linee.set_xdata(u_ex(t))
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linee.set_xdata(u_ex(t))
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f.canvas.draw_idle()
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f.canvas.draw_idle()
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plt.pause(.00001)
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plt.pause(.000005)
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if not plt.fignum_exists(1):
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if not plt.fignum_exists(1):
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break
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break
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i += 1
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i += 1
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28
parplateflow.py
Normal file → Executable file
28
parplateflow.py
Normal file → Executable file
@ -41,26 +41,36 @@ def u_np1(un, tn, dt):
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un0 = zeros(n, float)
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un0 = zeros(n, float)
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t = 0
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t = 0
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un = un0
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un = un0
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# un.append(un0)
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# Make the plot
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f = plt.figure(1, figsize=(12, 6))
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linefd, = plt.plot(un0, y)
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linefd, = plt.plot(un0, y)
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linee, = plt.plot(un0, y)
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linee, = plt.plot(un0, y)
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plt.legend(('Finite difference', 'Periodic exact'))
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plt.legend(('Finite difference', 'Periodic exact'),
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loc='lower right')
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plt.ylim(-1, 1)
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plt.ylim(-1, 1)
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plt.xlim(-1.5, 1.5)
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plt.xlim(-1.5, 1.5)
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plt.ylabel('y')
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plt.ylabel('y [m]')
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plt.xlabel('u')
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plt.xlabel('Velocity [m/s]')
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plt.grid('on')
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plt.grid(True)
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plt.show(block=False)
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i = 0
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i = 0
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uold = un
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uold = un
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try:
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while(True):
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while(True):
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t += dt
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t += dt
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uold = un
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uold = un
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un = u_np1(uold, t, dt)
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un = u_np1(uold, t, dt)
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if(i % 100 == 0):
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if(i % 25 == 0):
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linefd.set_xdata(un)
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linefd.set_xdata(un)
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linee.set_xdata(u_ex(t))
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linee.set_xdata(u_ex(t))
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plt.draw()
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f.canvas.draw_idle()
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# print("Time:",t)
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plt.pause(.000005)
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if not plt.fignum_exists(1):
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break
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i += 1
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i += 1
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except Exception:
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pass
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exit(0)
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