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phase-field simulation and other examples with Python/FEniCS
The main goal of this project was developing phase-field simulations of lithium dendrite growth with FEniCS programmed in Python. The problem was based in the grand potential-based model of Zijian Hong and Venkatasubramanian Viswanathan (https://doi.org/10.1021/acsenergylett.8b01009) .
Some simpler examples were developed before for a first approach with FEniCS: heat equation and combustion model.
Analyse dynamical systems, plot its phase space and critical points.
Phase Space is born out of the need of a simple yet powerful open source tool to study dynamical systems. PhaseSpace allows you to plot the phase space of the dynamical system you are studying, its critical points and the curves of slope zero and infinite.It can also plot the solutions of the system and it's vector field. To use PhaseSpace you'll need to have Python installed along with Matplotlib and Numpy.
This is a sophisticated & integrated simulation and analysis environment for dynamical systems models of physical systems (ODEs, DAEs, maps, and hybrid systems). It supports symbolic math, optimization, continuation, data analysis, biological apps...
This small program named TRAX is capable of solving systems of ordinary differential equations and plotting the solution on a phase plane as well as function of time. The program is intended for educational purposes. The program runs on any Python-enabled platform, including GNU/Linux and MS\Windows OSs. To run the program you will need a python interpreter ver. 2.x and compatible versions of numpy, scipy and matplotlib libraries.
See screenshot for usage reference.
SimED is a user-friendly Differential Equation simulation software. It can integrate numerically ODEs (Ordinary Differential Equations) using several methods, plot time and phase-space diagrams for variables, and interactively choose initial conditions.