def DiffuseBlobs(vortexBlobs, time, boundary): lambdaLen = abs((boundary[2]-boundary[1])) mu = 1.12*1*2/1000 sigma = sqrt(2*mu*time) numOfVortexBlobs = len(vortexBlobs) numOfDaughterBlobs = [0 for i in range(numOfVortexBlobs)] gammaMax = 0.1*lambdaLen for i in range(numOfVortexBlobs): temp = abs(vortexBlobs[i].strength)/gammaMax numOfDaughterBlobs[i] = int(floor(temp)) + 1 newNumDaughterBlobs = int(sum(numOfDaughterBlobs) - numOfVortexBlobs) daughterBlobs = [FluidElement() for i in range(newNumDaughterBlobs)] count = 0 for i in range(numOfVortexBlobs): try: x = random.normal(0, sigma, numOfDaughterBlobs[i]) y = random.normal(0, sigma, numOfDaughterBlobs[i])*1.0j except: x = 0 y = 0 # print vortexBlobs[i].strength if(vortexBlobs[i].strength>0): vortexBlobs[i].strength = vortexBlobs[i].strength - gammaMax*(numOfDaughterBlobs[i]-1) flag = 1 else: vortexBlobs[i].strength = vortexBlobs[i].strength + gammaMax*(numOfDaughterBlobs[i]-1) flag = 0 # print vortexBlobs[i].strength # print type(numOfDaughterBlobs[i]) for j in range(numOfDaughterBlobs[i]-1): locationTemp = vortexBlobs[i].xy + x[j] + y[j] locationTemp = CheckReflection(boundary[i], boundary[i+1], locationTemp) daughterBlobs[count] = Vortex(locationTemp) if flag == 1: daughterBlobs[count].strength = gammaMax else: daughterBlobs[count].strength = -gammaMax daughterBlobs[count].delta = vortexBlobs[i].delta count = count + 1 vortexBlobs = append(vortexBlobs, daughterBlobs) return vortexBlobs
def NoSlipCondition(Boundary, controlPoints, dt): dim = len(controlPoints) lambdaLen = abs(Boundary[2]-Boundary[1]) deltaVal = lambdaLen/pi vortexBlob = [FluidElement() for i in range(dim)] for i in range(dim): vslip = (controlPoints[i].updatexy - controlPoints[i].lastpos)/dt mp = (Boundary[i+1] + Boundary[i])/2 er = (Boundary[i+1] - Boundary[i]) en = (er)/abs(er) gamma = (vslip.real*en.real + vslip.imag*en.imag)*lambdaLen vortexBlob[i] = Vortex(mp*(abs(mp)+deltaVal)/abs(mp)) vortexBlob[i].strength = gamma vortexBlob[i].delta = deltaVal return vortexBlob
