Finite-Volume CFD Procedure and Adaptive Error Control Strategy for Grids of Arbitrary Topology

Muzaferija, S.; Gosman, David

doi:10.1006/jcph.1997.5853

Cited by 61 publications

(62 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Our task is to establish why the residual does not occur naturally, and to reconstruct it from the solution. We shall start with a brief overview of the second-order accurate FV discretisation on arbitrarily unstructured meshes [19,21,[23][24][25].…”

Section: Construction Of the Residualmentioning

confidence: 99%

“…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. Some interesting attempts include the cell imbalance error estimate by Haworth et al [18], the method based on higher order face interpolation by Muzaferija [19] and the Taylor series and moment error estimate by Jasak [20,21], respectively based on the Taylor series truncation error analysis and the imbalance in the higher moments of the solution.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Element residual error estimate for the finite volume method

Jasak¹,

Gosman

2003

Computers & Fluids

View full text Add to dashboard Cite

Section: Construction Of the Residualmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Element residual error estimate for the finite volume method

Jasak¹,

Gosman

2003

Computers & Fluids

View full text Add to dashboard Cite

“…[5,6,9,10]), because of the freedom they offer from mesh-related stability restrictions on time step size. This, along with the availability of efficient linear equation solvers, has produced substantial computing time (and hence cost) savings.…”

Section: Implicit Solution Algorithmsmentioning

confidence: 99%

State of the Art of Multi-Dimensional Modeling of Engine Reacting Flows

Gosman

1999

Oil & Gas Science and Technology - Rev. IFP

View full text Add to dashboard Cite

RŽsumŽ Ñ ƒtat de lÕart de la modŽlisation multidimensionnelle pour les Žcoulements rŽactifs dans les moteurs Ñ Cet article dresse un aper•u de lÕŽtat de lÕart et des perspectives de lÕutilisation de la modŽlisation 3D pour lÕanalyse et le dŽveloppement des moteurs. Les aspects abordŽs comprennent lÕacquisition des gŽomŽtries, la gŽnŽration des maillages, les mŽthodologies numŽriques, la modŽlisation mathŽmatique des phŽnom•nes physiques importants, lÕexploitation des calculateurs parall•les et lÕapplication industrielle. Les conclusions principales de cette analyse font appara"tre les points suivants : Ð les mŽthodologies numŽriques et la gŽnŽration des maillages, associŽes au calcul parall•le, permettent maintenant de raccourcir notablement le cycle total de simulation ; Ð la modŽlisation physique a atteint sa maturitŽ dans la plupart des aspects relatifs ˆ la simulation de la combustion en allumage commandŽ ; en revanche, elle reste encore ˆ acquŽrir en ce qui concerne la combustion Diesel et certains aspects des processus reliŽs aux sprays ; Ð globalement, lÕutilisation de la simulation 3D pour la conception des moteurs est en forte augmentation ; Ð les dŽveloppements futurs, dont lÕutilisation de la LES, promettent une amŽlioration croissante des rŽsultats.Mots-clŽs : moteur, combustion, simulation 3D, aper•u. Abstract Ñ State of the Art of Multi-Dimensional Modeling of Engine Reacting Flows

show abstract

“…Hybrid or generalized grids have recently appeared in the literature (e.g. References [2][3][4]) in which a structured mesh is usually implemented to capture the directionality of the ow in viscous regions near solid components. However, the generation of such grids is a formidable task and algorithms are still being developed [1].…”

Section: Introductionmentioning

confidence: 99%

Discretization of transport equations on 2D Cartesian unstructured grids using data from remote cells for the convection terms

Anagnostopoulos

2003

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYThis paper presents a new ÿnite volume discretization methodology for the solution of transport equations on locally reÿned or unstructured Cartesian meshes. The implementation of the cell-face values of the dependent variables enables the employment of data from remote cells and thus the use of higherorder di erencing schemes. It also results in simple and ux-conservative multiple-scale stencils for the discretization of the governing equations. The latter are ÿnally cast into a generalized form that does not depend on the local mesh structure. The performance of the numerical model is demonstrated on some classical 2D problems using various gridding techniques and a bounded second-order upwind scheme. A stable and e cient behaviour of the algorithm is observed in all test cases. The results indicate that the combination in the present model of both local grid reÿnement and second-order discretization can produce substantially more accurate solutions than each of the above techniques alone, for the same computational e ort. The method is also applicable to turbulent ows and can be easily extended to three-dimensions.

show abstract

Finite-Volume CFD Procedure and Adaptive Error Control Strategy for Grids of Arbitrary Topology

Cited by 61 publications

References 22 publications

Element residual error estimate for the finite volume method

Element residual error estimate for the finite volume method

State of the Art of Multi-Dimensional Modeling of Engine Reacting Flows

Discretization of transport equations on 2D Cartesian unstructured grids using data from remote cells for the convection terms

Contact Info

Product

Resources

About