def createPoints(self):
pointList = cylinder(150)
self.matCr = MatCreator(pointList, self.flows)
self.vortexPList = self.matCr.getMatVP()
self.vortexBlobPoints = []
self.vortexPanelPoints = []
for element in self.vortexPList:
vPanel = element.position * (
1 + element.length / math.pi / abs(element.position))
self.vortexBlobPoints.append(vPanel)
self.vortexPanelPoints.append(1.01 * element.position)
self.currentFlowArray = []
self.currentFlowArray.extend(self.vortexPList)
self.currentFlowArray.extend(self.flows)
self.sim.updateElements([], self.currentFlowArray)
def createPoints(self):
pointList = cylinder(150)
self.matCr = MatCreator(pointList,self.flows)
self.vortexPList = self.matCr.getMatVP()
self.vortexBlobPoints = []
self.vortexPanelPoints = []
for element in self.vortexPList:
vPanel = element.position*(1+element.length/math.pi/abs(element.position))
self.vortexBlobPoints.append(vPanel)
self.vortexPanelPoints.append(1.01*element.position)
self.currentFlowArray =[]
self.currentFlowArray.extend(self.vortexPList)
self.currentFlowArray.extend(self.flows)
self.sim.updateElements([],self.currentFlowArray)
import flows as f
from simulator import Simulator
import plotter as p
def addTracerPoint(pFlowArray):
for i in range(-20, 20, 5):
pos = complex(-2, i / 10.0)
pFlowArray.append(f.Tracer(pos, 1, 1, False))
if __name__ == '__main__':
print('Flow pass a circular cylinder')
pFlowArray = []
pFlowArray.append(f.Uniform(complex(-100, 0), 1, 1, True))
# pFlowArray.append(f.Vortex(complex(-1.010,0),1,1,False))
pointlist = cylinder(40)
matCr = MatCreator(pointlist, pFlowArray)
#addTracerPoint(pFlowArray)
length = len(pFlowArray)
pFlowArray.extend(matCr.getMatVP())
sim = Simulator(timestep=0.1)
sim.updateElements(pFlowArray)
data, colors = sim.run(0.2, matCr.updateFlows)
plotter = p.ParticlePlotter((-2, 2), (-2, 2))
plotter.update(data, colors)
filename = "temp"
#plotter.run(filename,True,False,False)
plotter.run(filename, False, True, False)
class Rvm(object):
def __init__(self,flows,gammaMax = 0.1,plotFeildFlag = False):
self.plotFeildFlag = plotFeildFlag
self.flows = flows
self.sim = Simulator(timestep = 0.1,uFrames = 1)
self.gammaMax = gammaMax
self.createPoints()
self.momentArray =[]
if (self.plotFeildFlag == True):
self.initializeGrid()
self.currentSim = "Advection"
self.counter = 0
def createPoints(self):
pointList = cylinder(150)
self.matCr = MatCreator(pointList,self.flows)
self.vortexPList = self.matCr.getMatVP()
self.vortexBlobPoints = []
self.vortexPanelPoints = []
for element in self.vortexPList:
vPanel = element.position*(1+element.length/math.pi/abs(element.position))
self.vortexBlobPoints.append(vPanel)
self.vortexPanelPoints.append(1.01*element.position)
self.currentFlowArray =[]
self.currentFlowArray.extend(self.vortexPList)
self.currentFlowArray.extend(self.flows)
self.sim.updateElements([],self.currentFlowArray)
def computeDrag(self,vFlows):
moment = 0+0j
for element in vFlows:
moment = moment + (element.position.real*1j - element.position.imag)* \
element.strength
return moment
def getVortexMoment(self):
return self.momentArray
def initializeGrid(self):
xx = linspace(0,2,20)
yy = linspace(0,2,20)
self.xx,self.yy = meshgrid(xx,yy)
self.x,self.y = self.xx.ravel(),self.yy.ravel()
self.z = self.x+1j*self.y
self.x,self.y = meshgrid(xx,yy)
def createVortexBlob(self):
positions = self.vortexBlobPoints
vortexPanels = self.vortexPList
vPositions = self.vortexPanelPoints
velArray = self.getVel(vPositions,self.currentFlowArray)
VortexBlobArray = []
for pos,element,vel in zip(positions,vortexPanels,velArray):
distance = abs(element.position - pos)
tangent = -element.position.imag +element.position.real*1j
tangent = tangent/abs(tangent);
strength = component(vel*element.length,tangent)
vortexBlob = f.Vortex(pos,strength,radius = distance)
VortexBlobArray.append(vortexBlob)
return VortexBlobArray
def saveQuiverPlot(self):
self.counter = self.counter +1
if (self.counter%10 == 0):
t = self.getVel(self.z,self.currentFlowArray)
t = array(t)
t = reshape(t,[-1,len(self.y)])
ux = t.real
vy = t.imag
matplotlib.pyplot.quiver(self.x,self.y,ux,vy)
matplotlib.pyplot.savefig(str(self.sim.counter)+"quiver.png")
matplotlib.pyplot.clf()
def updateFlow(self):
if (self.plotFeildFlag == True):
self.saveQuiverPlot()
if self.currentSim =="Advection":
self.currentSim = "Diffusion"
self.advectionRun()
elif self.currentSim =="Diffusion":
self.currentSim = "Advection"
self.advectionRun()
self.diffusionRun()
self.advectionRun()
def diffusionRun(self):
vortexBlobArray = self.createVortexBlob()
smallvortexBlobArray = []
for element in vortexBlobArray:
maxStr = self.vortexPList[0].length*self.gammaMax
smallvortexBlobArray.extend(self.elemDivider(element,maxStr))#self.gammaMax*self.vortexPList[0].length))
self.currentFlowArray.extend(smallvortexBlobArray)
self.flows = self.currentFlowArray[len(self.vortexPList):]
self.matCr.updateFlows(self.flows)
self.vortexPList = self.matCr.getMatVP()
self.currentFlowArray[:len(self.vortexPList)] = self.vortexPList
self.momentArray.append(self.computeDrag(self.flows[1:]))
passiveElem = self.currentFlowArray[:(len(self.vortexPList)+1)]
activeElem = self.currentFlowArray[(len(self.vortexPList)+1):]
self.sim.updateElements(activeElem,passiveElem)
for element in self.currentFlowArray:
self.randomWalk(element,0.004,0.1)
def advectionRun(self):
self.matCr.updateFlows()
def getVel(self,currentPoints,pArray):
VelMat = []
for cPoint in currentPoints:
tempVel = 0+0j
for element in pArray:
tempVel = tempVel + element.compute_vel(cPoint)
VelMat.append(tempVel)
return VelMat
def run(self,time = 3.0):
data = self.sim.run(time,self.updateFlow)
return data
def elemDivider(self,elem,maxStrength):
sign = elem.strength/abs(elem.strength)
strength = abs(elem.strength)
elemList = []
eClass = elem.__class__
while (strength > maxStrength):
strength = strength-maxStrength
elemList.append(eClass(elem.position,sign*maxStrength,
radius=elem.radius))
elemList.append(eClass(elem.position,sign*strength,
radius=elem.radius))
return elemList
def randomWalk(self,element,sigma,timestep=0.1):
if element.fixed == True:
return
# Take care of the error from Advection
if abs(element.position) <1.03:
element.position = 1.03*element.position/abs(element.position)
mean = [0,0]
cv = sigma/timestep
covariance = [[cv,0],[0,cv]]
vtemp = random.multivariate_normal(mean,covariance)
v = vtemp[0] + 1j*vtemp[1]
position = element.position+v*timestep
posVector = position/abs(position)
#Reflection the velocity
if (abs(position) <= 1.03):
v = v - 2*(posVector.real*v.real+v.imag*posVector.imag)*posVector
#Very Rare Case But can happen, due to precesion
if(abs( element.position) < 1.03):
v =0
element.change_pos(v,timestep)
import flows as f
from simulator import Simulator
import plotter as p
def addTracerPoint(pFlowArray):
for i in range(-20, 20, 5):
pos = complex(-2, i / 10.0)
pFlowArray.append(f.Tracer(pos, 1, 1, False))
if __name__ == "__main__":
print("Flow pass a circular cylinder")
pFlowArray = []
pFlowArray.append(f.Uniform(complex(-100, 0), 1, 1, True))
# pFlowArray.append(f.Vortex(complex(-1.010,0),1,1,False))
pointlist = cylinder(40)
matCr = MatCreator(pointlist, pFlowArray)
# addTracerPoint(pFlowArray)
length = len(pFlowArray)
pFlowArray.extend(matCr.getMatVP())
sim = Simulator(timestep=0.1)
sim.updateElements(pFlowArray)
data, colors = sim.run(0.2, matCr.updateFlows)
plotter = p.ParticlePlotter((-2, 2), (-2, 2))
plotter.update(data, colors)
filename = "temp"
# plotter.run(filename,True,False,False)
plotter.run(filename, False, True, False)
class Rvm(object):
def __init__(self, flows, gammaMax=0.1, plotFeildFlag=False):
self.plotFeildFlag = plotFeildFlag
self.flows = flows
self.sim = Simulator(timestep=0.1, uFrames=1)
self.gammaMax = gammaMax
self.createPoints()
self.momentArray = []
if (self.plotFeildFlag == True):
self.initializeGrid()
self.currentSim = "Advection"
self.counter = 0
def createPoints(self):
pointList = cylinder(150)
self.matCr = MatCreator(pointList, self.flows)
self.vortexPList = self.matCr.getMatVP()
self.vortexBlobPoints = []
self.vortexPanelPoints = []
for element in self.vortexPList:
vPanel = element.position * (
1 + element.length / math.pi / abs(element.position))
self.vortexBlobPoints.append(vPanel)
self.vortexPanelPoints.append(1.01 * element.position)
self.currentFlowArray = []
self.currentFlowArray.extend(self.vortexPList)
self.currentFlowArray.extend(self.flows)
self.sim.updateElements([], self.currentFlowArray)
def computeDrag(self, vFlows):
moment = 0 + 0j
for element in vFlows:
moment = moment + (element.position.real*1j - element.position.imag)* \
element.strength
return moment
def getVortexMoment(self):
return self.momentArray
def initializeGrid(self):
xx = linspace(0, 2, 20)
yy = linspace(0, 2, 20)
self.xx, self.yy = meshgrid(xx, yy)
self.x, self.y = self.xx.ravel(), self.yy.ravel()
self.z = self.x + 1j * self.y
self.x, self.y = meshgrid(xx, yy)
def createVortexBlob(self):
positions = self.vortexBlobPoints
vortexPanels = self.vortexPList
vPositions = self.vortexPanelPoints
velArray = self.getVel(vPositions, self.currentFlowArray)
VortexBlobArray = []
for pos, element, vel in zip(positions, vortexPanels, velArray):
distance = abs(element.position - pos)
tangent = -element.position.imag + element.position.real * 1j
tangent = tangent / abs(tangent)
strength = component(vel * element.length, tangent)
vortexBlob = f.Vortex(pos, strength, radius=distance)
VortexBlobArray.append(vortexBlob)
return VortexBlobArray
def saveQuiverPlot(self):
self.counter = self.counter + 1
if (self.counter % 10 == 0):
t = self.getVel(self.z, self.currentFlowArray)
t = array(t)
t = reshape(t, [-1, len(self.y)])
ux = t.real
vy = t.imag
matplotlib.pyplot.quiver(self.x, self.y, ux, vy)
matplotlib.pyplot.savefig(str(self.sim.counter) + "quiver.png")
matplotlib.pyplot.clf()
def updateFlow(self):
if (self.plotFeildFlag == True):
self.saveQuiverPlot()
if self.currentSim == "Advection":
self.currentSim = "Diffusion"
self.advectionRun()
elif self.currentSim == "Diffusion":
self.currentSim = "Advection"
self.advectionRun()
self.diffusionRun()
self.advectionRun()
def diffusionRun(self):
vortexBlobArray = self.createVortexBlob()
smallvortexBlobArray = []
for element in vortexBlobArray:
maxStr = self.vortexPList[0].length * self.gammaMax
smallvortexBlobArray.extend(self.elemDivider(
element, maxStr)) #self.gammaMax*self.vortexPList[0].length))
self.currentFlowArray.extend(smallvortexBlobArray)
self.flows = self.currentFlowArray[len(self.vortexPList):]
self.matCr.updateFlows(self.flows)
self.vortexPList = self.matCr.getMatVP()
self.currentFlowArray[:len(self.vortexPList)] = self.vortexPList
self.momentArray.append(self.computeDrag(self.flows[1:]))
passiveElem = self.currentFlowArray[:(len(self.vortexPList) + 1)]
activeElem = self.currentFlowArray[(len(self.vortexPList) + 1):]
self.sim.updateElements(activeElem, passiveElem)
for element in self.currentFlowArray:
self.randomWalk(element, 0.004, 0.1)
def advectionRun(self):
self.matCr.updateFlows()
def getVel(self, currentPoints, pArray):
VelMat = []
for cPoint in currentPoints:
tempVel = 0 + 0j
for element in pArray:
tempVel = tempVel + element.compute_vel(cPoint)
VelMat.append(tempVel)
return VelMat
def run(self, time=3.0):
data = self.sim.run(time, self.updateFlow)
return data
def elemDivider(self, elem, maxStrength):
sign = elem.strength / abs(elem.strength)
strength = abs(elem.strength)
elemList = []
eClass = elem.__class__
while (strength > maxStrength):
strength = strength - maxStrength
elemList.append(
eClass(elem.position, sign * maxStrength, radius=elem.radius))
elemList.append(
eClass(elem.position, sign * strength, radius=elem.radius))
return elemList
def randomWalk(self, element, sigma, timestep=0.1):
if element.fixed == True:
return
# Take care of the error from Advection
if abs(element.position) < 1.03:
element.position = 1.03 * element.position / abs(element.position)
mean = [0, 0]
cv = sigma / timestep
covariance = [[cv, 0], [0, cv]]
vtemp = random.multivariate_normal(mean, covariance)
v = vtemp[0] + 1j * vtemp[1]
position = element.position + v * timestep
posVector = position / abs(position)
#Reflection the velocity
if (abs(position) <= 1.03):
v = v - 2 * (posVector.real * v.real +
v.imag * posVector.imag) * posVector
#Very Rare Case But can happen, due to precesion
if (abs(element.position) < 1.03):
v = 0
element.change_pos(v, timestep)