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Mesh Analysis

Mesh Analysis

Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...

Mesh Analysis with Current Sources

Mesh Analysis with Current Sources

Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law (KVL)...

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Development and Evaluation of 3D-Printed Cardiovascular Phantoms for Interventional Planning and Training

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Cardiovascular and lung mesh generation based on centerlines.

E Marchandise¹, C Geuzaine, J F Remacle

¹Institute of Mechanics, Materials and Civil Engineering (iMMC), Université catholique de Louvain, Place du Levant 1, 1348 Louvain-la-Neuve, Belgium. emilie.marchandise@uclouvain.be

International Journal for Numerical Methods in Biomedical Engineering

|April 23, 2013

Summary

This study introduces an automated method for creating computational meshes for tubular structures like blood vessels. The technique ensures high-quality mesh generation for various applications.

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Area of Science:

Computational fluid dynamics
Biomedical engineering
Geometric modeling

Background:

Accurate mesh generation is crucial for simulating blood flow and airflow in tubular geometries.
Existing methods often require manual intervention, limiting efficiency and robustness.
The need for automated, high-quality mesh generation for complex anatomical structures is significant.

Purpose of the Study:

To develop a fully automatic procedure for generating computational meshes of tubular geometries.
To implement the procedure in the open-source Gmsh software.
To enable the generation of diverse mesh types, including layered arterial walls.

Main Methods:

The method utilizes a centerline description of the tubular geometry.
It employs a mesh size field and a mesh metric based on centerline distance and local reference systems.
Gmsh software is used for implementation, supporting various mesh types (tetrahedral, hexahedral/tetrahedral).

Main Results:

The procedure successfully generates isotropic tetrahedral, anisotropic tetrahedral, and mixed hexahedral/tetrahedral meshes.
It allows for the creation of multiple-layered arterial walls with variable thickness.
Demonstrated efficiency and robustness in generating high-quality computational meshes.

Conclusions:

The presented automated procedure offers an efficient and robust solution for meshing tubular geometries.
The method supports diverse mesh types and complex features like layered arterial walls.
This advancement facilitates high-fidelity simulations in fields such as cardiovascular and respiratory research.