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Add get masses/positions/momenta methods and modify frogleap input/output

This commit is contained in:
Thibault Barnouin
2021-10-22 16:23:08 +02:00
parent e1431ce1b4
commit 3e40f412e6
3 changed files with 26 additions and 8 deletions

View File

@@ -24,12 +24,16 @@ def dp_dt(m_array, q_array):
dp_array[np.isnan(dp_array)] = 0.
return dp_array
def frogleap(duration, step, m_array, q_array, p_array, display=False):
def frogleap(duration, step, dyn_syst, display=False):
"""
Leapfrog integrator for first order partial differential equations.
iteration : half-step drift -> full-step kick -> half-step drift
"""
N = np.ceil(duration/step).astype(int)
m_array = dyn_syst.get_masses()
q_array = dyn_syst.get_positions()
p_array = dyn_syst.get_momenta()
if display:
d = DynamicUpdate()
d.min_x, d.max_x = -1.5*np.abs(q_array).max(), +1.5*np.abs(q_array).max()
@@ -42,14 +46,17 @@ def frogleap(duration, step, m_array, q_array, p_array, display=False):
# half-step drift
q_array, p_array = q_array + step/2*p_array/m_array , p_array
#print(p_array)
# In center of mass frame
q_cm = np.sum(m_array.reshape((q_array.shape[0],1))*q_array, axis=0)/m_array.sum()
q_array -= q_cm
if display:
# In center of mass frame
q_cm = np.array([0.,0.])#np.sum(m_array.reshape((q_array.shape[0],1))*q_array, axis=0)/m_array.sum()
# display progression
d.on_running(q_array[:,0], q_array[:,1])
d.on_running(q_array[:,0]-q_cm[0], q_array[:,1]-q_cm[1])
time.sleep(0.01)
for i, body in enumerate(dyn_syst.bodylist):
body.q = q_array[i]
body.p = p_array[i]
body.v = body.p/body.m
return q_array, p_array
return dyn_syst

View File

@@ -24,6 +24,15 @@ class System:
def __init__(self, bodylist):
self.bodylist = bodylist
def get_masses(self): #return the masses of each object
return np.array([body.m for body in self.bodylit])
def get_positions(self): #return the positions of the bodies
return np.array([body.q for body in self.bodylist])
def get_momenta(self): #return the momenta of the bodies
return np.array([body.p for body in self.bodylist])
def Mass(self): #return total system mass
mass = 0
@@ -51,6 +60,7 @@ class System:
L = L + np.cross(comq[i],body.p)
i = i+1
return L
def Eval(self,Lbodylist): #return total energy of bodies in bodylist
G = 1. #Gravitational constant (here normalized)
T = 0

View File

@@ -3,10 +3,11 @@
from sys import exit as sysexit
import numpy as np
from lib.integrator import frogleap
import lib.objects
def main():
#initialisation
m = np.array([1e10, 1, 1])
m = np.array([1e10, 1, 0])
x1 = np.array([0, 0, 0])
x2 = np.array([1, 0, 0])