Fuel Cell 3D Simulation Documentation

This documentation covers the fuel_cell_3D codebase, a meshfree simulation framework for 3D solid oxide fuel cell (SOFC) analysis using the Reproducing Kernel Particle Method (RKPM).

The code solves coupled electrochemical-mechanical problems in solid oxide fuel cells, including:

• Oxygen ion diffusion in electrolyte

• Electron transport in electrodes

• Gas diffusion in pores

• Butler-Volmer electrochemical kinetics

• Thermo-mechanical stress analysis

Contents:

• Overview
  • Code Structure
  • Simulation Workflow
  • Backend Abstraction
• Physics and Mathematical Formulation
  • Reproducing Kernel Particle Method (RKPM)
  • Diffusion Equation
  • Butler-Volmer Electrochemistry
  • Linear Elasticity
  • Gauss Quadrature
  • Damage Model
• Implementation Details
  • Configuration (config.py)
  • Backend Abstraction (common.py)
  • Image Reading (read_image.py)
  • Node and Gauss Point Generation
  • Shape Function Computation
  • Diffusion Matrix Assembly
  • Mechanical Stiffness Assembly
  • Main Simulation Flow (main.py)
• Array Shapes and Data Structures
  • Notation
  • Node Arrays
  • Cell Connectivity Arrays
  • Gauss Point Arrays
  • Moment Matrices
  • Kernel Sparse Arrays
  • Shape Function Sparse Matrices
  • Stiffness Matrices
  • Elasticity Tensor
  • Solution Vectors
  • Force Vectors
  • Boundary Arrays
  • Gauss Integration Reference
• API Reference
  • common
  • config
  • read_image
  • shape_function_in_domain
  • shape_function_vectorized
  • shape_grad_func_vectorized
  • get_nodes_gauss_points_vectorized
  • define_diffusion_matrix_form
  • define_mechanical_stiffness_matrix

Indices and tables

• Index

• Module Index

• Search Page