A second-order Godunov scheme on a spatial adapted triangular grid
type: Item
instance of: scholarly article
title: A second-order Godunov scheme on a spatial adapted triangular grid
zbMATH Open document ID: 0804.76063
DOI: 10.1016/0168-9274(94)90033-7
author: Itzhak Lottati
author: Shmuel Eidelman
published in: Applied Numerical Mathematics
publication date: 1995-01-18T00:00:00Z
review text: Spatial adaptation procedures for the accurate and efficient solution of unsteady inviscid flow simulation are described. The adaptation procedures were developed and implemented applying a second-order Godunov scheme. These procedures involve mesh enrichment/coarsening to either add/remove vertices in high/low gradient regions of the flow, respectively. The goal is to achieve solutions of high spatial accuracy at minimal computational cost. The paper describes a very effective error estimator to detect high/low activity regions of the flow to be enriched or coarsened, respectively. The error estimator is based on total energy and density fluxes into the cell combined with gradient of density. Included is a detailed description of the direct dynamic refinement method that is used for adaptation. A detailed simulation of a reflection and diffraction of multiple shock waves flowing over a diamond shape wedge is presented and compared with experimental results.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 609626
zbMATH Keywords: unsteady inviscid flow
zbMATH Keywords: mesh enrichment/coarsening
zbMATH Keywords: high/low gradient regions
zbMATH Keywords: error estimator
zbMATH Keywords: total energy and density fluxes
zbMATH Keywords: direct dynamic refinement method
zbMATH Keywords: reflection
zbMATH Keywords: diffraction
zbMATH Keywords: multiple shock waves
MaRDI profile type: Publication
full work available at URL: 0168-9274(94)90033-7
OpenAlex ID: W1978712115
cites work: Efficient solution algorithms for the Riemann problem for real gases
cites work: Application of the Godunov method and its second-order extension to cascade flow modeling
cites work: An adaptive finite element scheme for transient problems in CFD
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
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description: scientific article; zbMATH DE number 609626