Geometry.
Why Geometry matters in CAE.
Geometry is the foundation of simulation. Before meshing, before solving, before optimization—there is shape. TheMeshProject explores geometry not as abstract math, but as the structural language of engineering: curvature, continuity, topology, and feature definition.
Small geometric inconsistencies can cascade into meshing failures, solver instability, or inaccurate results. Understanding geometry means understanding how simulation behaves.
Topics we cover
Curvature and Continuity
- Understanding surface curvature and its impact on meshing
- What is Principal, mean, and Gaussian curvature
- Curvature-driven refinement strategies
- Visualizing curvature fields on surfaces
Topology and Structure
- Understanding genus, handles, and holes
- Identifying and repairing topological defects
- Topological impact on meshing and simulation
Feature Detection
- Detecting sharp edges and corners
- Feature line extraction algorithms
- Incorporating features into meshing
- Algorithms for geometric segmentation
Parametric and Implicit Representations
- Understanding NURBS, B-Splines, and subdivision surfaces
- Implicit surface representations and level sets
- Conversion between different geometric representations
How we are going to approach geometry
Visual Intuition
We believe geometry should be seen, not just described. Our demos and illustrations help you:
- Explore curvature and continuity visually
- Understand topological features through graphics
- Identify key geometric features visually
- See how features influence meshing outcomes
- Understand how geometry affects mesh quality
Algorithms
We provide clean code and implementation notes for:
- Curvature estimation on surfaces and meshes
- Feature line detection algorithms
- Surface segmentation techniques
- Topological analysis tools
These tools are designed to be modular, readable, and adaptable to your own CAE workflows.
Geometry in Practice
Whether you're cleaning up CAD models, preparing for meshing, or designing new preprocessing tools, geometric insight is essential. TheMeshProject helps you:
- Diagnose and repair geometric issues
- Choose appropriate meshing strategies
- Understand how shape influences simulation accuracy