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Structured and unstructured grid generation.

J F Thompson1, N P Weatherill

  • 1NSF Engineering Research Center for Computational Field Simulation, Mississippi State University, Mississippi.

Critical Reviews in Biomedical Engineering
|January 1, 1992
PubMed
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This study reviews composite-block-structured and unstructured grid generation techniques for 3D geometries. It covers algebraic, elliptic, and Delaunay tessellation methods with application examples.

Area of Science:

  • Computational geometry
  • Numerical analysis
  • Computer-aided design

Background:

  • Grid generation is crucial for simulating complex 3D geometries.
  • Existing methods include structured and unstructured approaches.
  • A comprehensive overview of current techniques is needed.

Purpose of the Study:

  • To summarize current techniques in composite-block-structured grid generation.
  • To review unstructured grid generation methods for general 3D geometries.
  • To provide citations for relevant theory and application examples.

Main Methods:

  • Summarized algebraic and elliptic generation procedures for structured grids.
  • Detailed Delaunay tessellations for unstructured grids.
  • Included examples of applications across various geometries.

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Main Results:

  • Presented a comprehensive overview of established grid generation methodologies.
  • Highlighted the applicability of different techniques to diverse geometric complexities.
  • Provided theoretical underpinnings and practical demonstrations.

Conclusions:

  • Composite-block-structured and unstructured grid generation are essential for 3D simulations.
  • Algebraic, elliptic, and Delaunay methods offer robust solutions.
  • The reviewed techniques are widely applicable in scientific and engineering fields.