SolMuseum

This library encapsulates the common simulation models for Solverz-based simulation modelling. It is just required that one inputs the model parameters and then the simulation model instances are initialized without having to derive them symbolically and jit-compile the case-specified numerical codes, which saves the computation overhead.

All the models that have been implemented can be found in the docs with mathematical derivations.

Installation

SolMuseum requires python>=3.10, and can be installed locally with

pip install SolMuseum

Usage Example

For example, we want to perform the finite difference of the heat pipe with the Yao's scheme. The illustrative code We can just import the heat_pipe class from SolMuseum.pde, input the parameters and set the method to be 'yao'. The finite difference equations are automatically derived and added to the Model instance. snippet is

import numpy as np
from Solverz import Var, Param, Model
from SolMuseum.pde import heat_pipe

# modelling
L = 9250
dx = 370
M = int(L / dx)
Tinitial = np.zeros(M + 1)
lam = 1 / 0.35
Cp = 4182
Ta = -10
D = 1.4
S = np.pi * (D / 2) ** 2
rho = 960
Tamb = -10

for i in range(0, len(Tinitial)):
    fai = np.exp(-lam * i * dx / (Cp * np.abs(2543.5)))
    Tinitial[i] = 90.1724637976347 * fai + Ta * (1 - fai)

m = Model()
m.T = Var('T', Tinitial)
m.m = Param('m', 10)
m.lam = Param('lam', lam)
m.rho = Param('rho', rho)
m.S = Param('S', S)
m.Tamb = Param('Tamb', Tamb)
m.Cp = Param('Cp', Cp)
m.dt = Param('dt', 180)
m.__dict__.update(heat_pipe(m.T,
                            m.m,
                            m.lam,
                            m.rho,
                            m.Cp,
                            m.S,
                            m.Tamb,
                            dx,
                            m.dt,
                            M,
                            '1',
                            method='yao'))

For reproducible codes of each model, please refer to the test folders, which can serve as the detailed tutorials.