mesh-generator 1.0.7

Python subroutines to create a 1D mesh in Python.

This is a collection of Python subroutines and examples that illustrate how to build a 1D Mesh with custom mesh spacing. The meshes created in the package can be used for variety of applications, including physical simulation.

Installation

pip install mesh-generator

Dependencies

numpy>=1.15.2 # Minimum version 1.18.1
matplotlib>=3.0.0 # Minimum version 3.1.3
python>=3.5.0 # Minimum version 3.5

Usage

This an example for creating a 1D theta mesh. Read the comments inside the python scripts for more details.

• Step 1 : Input mesh requirements. Make sure to specify:

  Mesh:

  • Set lower_bnd and upper_bnd limits of mesh.

  • Set periodic.

  • Set DEFAULT_BG_REGION_RATIO - Ratio in areas without ds constraint. (Optional)

  • Set DEFAULT_FG_REGION_RATIO - Ratio in areas with ds constraint. (Optional)

  Mesh segment:

  • Set s0 and s1 for segment domain limits.

  • Set ds to the resolution you want.

  • Set var_ds_ratio as segment maximum cell to cell mesh expansion ratio. (Optional)

from mesh_generator import Mesh
from mesh_generator import MeshSegment
import numpy 

# ratio in regions you do not care about. (Default is 1.06)
MeshSegment.DEFAULT_BG_REGION_RATIO = 1.06 

# ratio in regions you do care about. (Default is 1.03) 
MeshSegment.DEFAULT_FG_REGION_RATIO = 1.03  

# mesh boundaries and if periodic. 
mesh = Mesh(lower_bnd=0.00, upper_bnd=numpy.pi, periodic=False) 

# Mesh segment requirements:
# s0 - segment begin, s1- segment end, ds- mesh spacing
# (Optional) var_ds_ratio- the maximum ratio between each point in the mesh segment. 
mesh.insert_mesh_segment(MeshSegment(s0=1.10, s1=1.40, ds=0.01, var_ds_ratio=1.05))
mesh.insert_mesh_segment(MeshSegment(s0=1.30, s1=1.90, ds=0.02))
mesh.insert_mesh_segment(MeshSegment(s0=0.40, s1=2.80, ds=0.04, var_ds_ratio=1.02))

• Step 2: Get final mesh and save it as a dictionary.

mesh.resolve_mesh_segments()
mesh.build_legacy_mesh()
mesh.json_dict() #returns the final discretized mesh.

License

Apache

Authors

Predictive Science Inc.

• Opal Issan ([e-mail])
• Cooper Downs ([e-mail])