An adaptive multigrid method for the euler equations

Berger, Marsha; Jameson, Antony

doi:10.1007/3-540-13917-6_115

Cited by 11 publications

(4 citation statements)

References 6 publications

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“…The second "worksˮ with the solution. A posteriori metrics are usually solution error indicators [12][13][14][15][16][17]. A priori grid quality assessment has been based primarily on geometric characteristics of the elements such as ratios of sizes of neighboring elements, as well as on element shape measures, such as angles of the elements [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Quality Index and Improvement of the Interfaces of General Hybrid Grids

Fotia

Kallinderis

2014

Procedia Engineering

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Hybrid grids constitute a significant class of meshes for complex-geometry flow simulations. They consist of prisms and/or hexahedra covering viscous regions primarily, while tetrahedra discretize the rest of the domain with pyramids serving as transitional elements. The local changes in element topology form grid interfaces. This is especially so for cases where the number of prisms/hexahedra per layer (stack) is not constant ("chopped" layers). The present work deals with the quality of the interfaces encountered in general hybrid grids with non-constant number of layers. A priori estimation of the quality is based on truncation error terms. Four representative types of interfaces are considered. The effect of grid stretching and skewness was examined for the interfaces. Further, the quality is improved via repositioning of the central point of each of the interface types. The improvement is quantified via application to several hybrid grids.

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Section: Introductionmentioning

confidence: 99%

Quality Index and Improvement of the Interfaces of General Hybrid Grids

Fotia

Kallinderis

2014

Procedia Engineering

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“…The only widely-used a-posteriori error estimate is Richardson extrapolation [12][13][14][15], which in turn requires two solutions on meshes with different spacing. Apart from several attempts aimed at measuring the numerical diffusion [16,17], the scope of single-mesh single-run error estimates aimed at the complete discretisation error is very limited.…”

Section: Introductionmentioning

confidence: 99%

Element residual error estimate for the finite volume method

Jasak¹,

Gosman

2003

Computers & Fluids

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“…[1], [3], [5], [10]) and local defect correction (LDC; cf. [8]), it differs in several simple but important respects.…”

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confidence: 99%

The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations

McCormick¹,

Thomas²

1986

Mathematics of Computation

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Abstract. The fast adaptive composite grid (FAC) method is a systematic process for solving differential boundary value problems. FAC uses global and local uniform grids both to define the composite grid problem and to interact for its fast solution. It can with little added cost substantially improve accuracy of the coarse grid solution and is very suitable for vector and parallel computation. This paper develops both the theoretical and practical aspects of FAC as it applies to elliptic problems.

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An adaptive multigrid method for the euler equations

Cited by 11 publications

References 6 publications

Quality Index and Improvement of the Interfaces of General Hybrid Grids

Quality Index and Improvement of the Interfaces of General Hybrid Grids

Element residual error estimate for the finite volume method

The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations

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