### Abstract

Original language | English |
---|---|

Pages (from-to) | 111-125 |

Journal | SIAM journal on scientific computing |

Volume | 19 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1998 |

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*SIAM journal on scientific computing*,

*19*(1), 111-125. https://doi.org/10.1137/S1064827596302989

}

*SIAM journal on scientific computing*, vol. 19, no. 1, pp. 111-125. https://doi.org/10.1137/S1064827596302989

**Fast multigrid solution of the advection problem with closed characteristics.** / Yavneh, Irad; Venner, Cornelis H.; Brandt, Achi.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Fast multigrid solution of the advection problem with closed characteristics

AU - Yavneh, Irad

AU - Venner, Cornelis H.

AU - Brandt, Achi

PY - 1998

Y1 - 1998

N2 - The numerical solution of the advection-diffusion problem in the inviscid limit with closed characteristics is studied as a prelude to an efficient high Reynolds-number flow solver. It is demonstrated by a heuristic analysis and numerical calculations that using upstream discretization with downstream relaxation ordering in a multigrid cycle with appropriate residual weighting leads to an efficient solution process. Upstream finite-difference approximations to the advection operator are derived whose truncation terms approximate "physical" (Laplacian) viscosity, thus avoiding spurious solutions to the homogeneous problem when the artificial diffusivity dominates the physical viscosity [A. Brandt and I. Yavneh, J. Comput. Phys., 93 (1991), pp. 128--143].

AB - The numerical solution of the advection-diffusion problem in the inviscid limit with closed characteristics is studied as a prelude to an efficient high Reynolds-number flow solver. It is demonstrated by a heuristic analysis and numerical calculations that using upstream discretization with downstream relaxation ordering in a multigrid cycle with appropriate residual weighting leads to an efficient solution process. Upstream finite-difference approximations to the advection operator are derived whose truncation terms approximate "physical" (Laplacian) viscosity, thus avoiding spurious solutions to the homogeneous problem when the artificial diffusivity dominates the physical viscosity [A. Brandt and I. Yavneh, J. Comput. Phys., 93 (1991), pp. 128--143].

U2 - 10.1137/S1064827596302989

DO - 10.1137/S1064827596302989

M3 - Article

VL - 19

SP - 111

EP - 125

JO - SIAM journal on scientific computing

JF - SIAM journal on scientific computing

SN - 1064-8275

IS - 1

ER -