### Abstract

The authors describe a method of local adaptive grid refinement for the solution of the steady Euler equations in two dimensions, which automatically selects regions requiring mesh refinement by measuring the local truncation error. Our method of refinement uses locally uniform fine rectangles which are superimposed on a global coarse grid. Possibly several nested levels of refined grids will be used until a given accuracy is attained. The fine grid patches are in the same coordinate system as the underlying coarse grid. All the data management is done in the computational plane, where, since we use rectangular grids, the data structures and bookkeeping can be very simple.

Original language | English (US) |
---|---|

Title of host publication | Lecture Notes in Physics |

Publisher | Springer-Verlag |

Pages | 92-97 |

Number of pages | 6 |

ISBN (Print) | 3540139176 |

State | Published - 1985 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Lecture Notes in Physics*(pp. 92-97). Springer-Verlag.

**ADAPTIVE MULTIGRID METHOD FOR THE EULER EQUATIONS.** / Berger, Marsha; Jameson, Antony.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Lecture Notes in Physics.*Springer-Verlag, pp. 92-97.

}

TY - GEN

T1 - ADAPTIVE MULTIGRID METHOD FOR THE EULER EQUATIONS.

AU - Berger, Marsha

AU - Jameson, Antony

PY - 1985

Y1 - 1985

N2 - The authors describe a method of local adaptive grid refinement for the solution of the steady Euler equations in two dimensions, which automatically selects regions requiring mesh refinement by measuring the local truncation error. Our method of refinement uses locally uniform fine rectangles which are superimposed on a global coarse grid. Possibly several nested levels of refined grids will be used until a given accuracy is attained. The fine grid patches are in the same coordinate system as the underlying coarse grid. All the data management is done in the computational plane, where, since we use rectangular grids, the data structures and bookkeeping can be very simple.

AB - The authors describe a method of local adaptive grid refinement for the solution of the steady Euler equations in two dimensions, which automatically selects regions requiring mesh refinement by measuring the local truncation error. Our method of refinement uses locally uniform fine rectangles which are superimposed on a global coarse grid. Possibly several nested levels of refined grids will be used until a given accuracy is attained. The fine grid patches are in the same coordinate system as the underlying coarse grid. All the data management is done in the computational plane, where, since we use rectangular grids, the data structures and bookkeeping can be very simple.

UR - http://www.scopus.com/inward/record.url?scp=0021942361&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021942361&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0021942361

SN - 3540139176

SP - 92

EP - 97

BT - Lecture Notes in Physics

PB - Springer-Verlag

ER -