Cut Cells: Meshes and Solvers

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Embedded boundary Cartesian grids have greatly simplified the grid generation process for complicated engineering geometries. This approach to mesh generation uses a background regular mesh and takes special care of cut cells where the geometry intersects the grid. Grid generation is fast and robust. This chapter gives an overview of cut-cell grids. We discuss mesh generation and data structures used for implementation. We describe some stable and accurate discretizations for the small irregular cells that occur at the boundary. Much of this technology is mature and forms the basis for widely used CFD packages. Some possible directions for future research are presented.

Original languageEnglish (US)
Title of host publicationHandbook of Numerical Analysis
PublisherElsevier B.V.
Pages1-22
Number of pages22
DOIs
StatePublished - 2017

Publication series

NameHandbook of Numerical Analysis
Volume18
ISSN (Print)1570-8659

Keywords

  • Cut cells
  • Embedded boundary meshes
  • Small cell problem

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Computational Mathematics
  • Applied Mathematics

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