Coverage for pySDC/projects/parallelSDC_reloaded/kaps_setup.py: 100%

1#!/usr/bin/env python3 

2# -*- coding: utf-8 -*- 

3""" 

4Created on Thu Dec 7 19:29:46 2023 

5 

6Setup script for the Kaps problem 

7""" 

8import numpy as np 

9import matplotlib.pyplot as plt 

10 

11from pySDC.projects.parallelSDC_reloaded.utils import solutionExact, getParamsRK, solutionSDC 

12 

13script = __file__.split('/')[-1].split('.')[0] 

14 

15tEnd = 1 

16nSteps = 100 

17epsilon = 1e-3 

18rkScheme = "DIRK43" 

19 

20tVals = np.linspace(0, tEnd, nSteps + 1) 

21 

22print("Computing ODE solution") 

23uExact = solutionExact(tEnd, nSteps, "KAPS", epsilon=epsilon) 

24 

25params = getParamsRK(rkScheme) 

26uNum, counters, parallel = solutionSDC(tEnd, nSteps, params, 'KAPS', epsilon=epsilon) 

27 

28figName = f"{script}_solution" 

29plt.figure(figName) 

30plt.plot(tVals, uExact[:, 0], '-', label="x-exact") 

31plt.plot(tVals, uExact[:, 1], '-', label="y-exact") 

32plt.plot(tVals, uNum[:, 0], '--', label="x-num") 

33plt.plot(tVals, uNum[:, 1], '--', label="y-num") 

34 

35plt.legend() 

36plt.xlabel("time") 

37plt.ylabel("solution") 

38plt.tight_layout()