FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1971386105> ?p ?o ?g. }

• W1971386105 endingPage "377" @default.
• W1971386105 startingPage "341" @default.
• W1971386105 abstract "The NIRVANA project is concerned with the development of a n onoscillatory, i ntegrally r econstructed, v olume‐ a veraged n umerical a dvection scheme. The conservative, flux‐based finite‐volume algorithm is built on an explicit, single‐step, forward‐in‐time update of the cell‐average variable, without restrictions on the size of the time‐step. There are similarities with semi‐Lagrangian schemes; a major difference is the introduction of a discrete integral variable, guaranteeing conservation. The crucial step is the interpolation of this variable, which is used in the calculation of the fluxes; the (analytic) derivative of the interpolant then gives sub‐cell behaviour of the advected variable. In this paper, basic principles are described, using the simplest possible conditions: pure one‐dimensional advection at constant velocity on a uniform grid. Piecewise N th‐degree polynomial interpolation of the discrete integral variable leads to an N th‐order advection scheme, in both space and time. Nonoscillatory results correspond to convexity preservation in the integrated variable, leading naturally to a large‐Δ t generalisation of the universal limited. More restrictive TVD constraints are also extended to large Δ t . Automatic compressive enhancement of step‐like profiles can be achieved without exciting “stair‐casing”. One‐dimensional simulations are shown for a number of different interpolations. In particular, convexity‐limited cubic‐spline and higher‐order polynomial schemes give very sharp, nonoscillatory results at any Courant number, without clipping of extrema. Some practical generalisations are briefly discussed." @default.
• W1971386105 created "2016-06-24" @default.
• W1971386105 creator A5042135099 @default.
• W1971386105 creator A5064333149 @default.
• W1971386105 creator A5081083973 @default.
• W1971386105 date "1995-04-01" @default.
• W1971386105 modified "2023-09-23" @default.
• W1971386105 title "The nirvana scheme applied to one‐dimensional advection" @default.
• W1971386105 cites W1975706278 @default.
• W1971386105 cites W1978509080 @default.
• W1971386105 cites W2020168202 @default.
• W1971386105 cites W2034976587 @default.
• W1971386105 cites W2048781240 @default.
• W1971386105 cites W2063217111 @default.
• W1971386105 cites W2073945818 @default.
• W1971386105 cites W2098920641 @default.
• W1971386105 cites W2112548197 @default.
• W1971386105 cites W2174290698 @default.
• W1971386105 cites W2175611269 @default.
• W1971386105 doi "https://doi.org/10.1108/eum0000000004120" @default.
• W1971386105 hasPublicationYear "1995" @default.
• W1971386105 type Work @default.
• W1971386105 sameAs 1971386105 @default.
• W1971386105 citedByCount "73" @default.
• W1971386105 countsByYear W19713861052012 @default.
• W1971386105 countsByYear W19713861052013 @default.
• W1971386105 countsByYear W19713861052014 @default.
• W1971386105 countsByYear W19713861052017 @default.
• W1971386105 countsByYear W19713861052021 @default.
• W1971386105 countsByYear W19713861052023 @default.
• W1971386105 crossrefType "journal-article" @default.
• W1971386105 hasAuthorship W1971386105A5042135099 @default.
• W1971386105 hasAuthorship W1971386105A5064333149 @default.
• W1971386105 hasAuthorship W1971386105A5081083973 @default.
• W1971386105 hasConcept C105795698 @default.
• W1971386105 hasConcept C106159729 @default.
• W1971386105 hasConcept C121332964 @default.
• W1971386105 hasConcept C121684516 @default.
• W1971386105 hasConcept C134306372 @default.
• W1971386105 hasConcept C137800194 @default.
• W1971386105 hasConcept C162324750 @default.
• W1971386105 hasConcept C164660894 @default.
• W1971386105 hasConcept C171836373 @default.
• W1971386105 hasConcept C17685861 @default.
• W1971386105 hasConcept C182365436 @default.
• W1971386105 hasConcept C205203396 @default.
• W1971386105 hasConcept C28826006 @default.
• W1971386105 hasConcept C30295242 @default.
• W1971386105 hasConcept C31447003 @default.
• W1971386105 hasConcept C33923547 @default.
• W1971386105 hasConcept C41008148 @default.
• W1971386105 hasConcept C502989409 @default.
• W1971386105 hasConcept C5072599 @default.
• W1971386105 hasConcept C72134830 @default.
• W1971386105 hasConcept C73000952 @default.
• W1971386105 hasConcept C88080468 @default.
• W1971386105 hasConcept C90119067 @default.
• W1971386105 hasConcept C97355855 @default.
• W1971386105 hasConceptScore W1971386105C105795698 @default.
• W1971386105 hasConceptScore W1971386105C106159729 @default.
• W1971386105 hasConceptScore W1971386105C121332964 @default.
• W1971386105 hasConceptScore W1971386105C121684516 @default.
• W1971386105 hasConceptScore W1971386105C134306372 @default.
• W1971386105 hasConceptScore W1971386105C137800194 @default.
• W1971386105 hasConceptScore W1971386105C162324750 @default.
• W1971386105 hasConceptScore W1971386105C164660894 @default.
• W1971386105 hasConceptScore W1971386105C171836373 @default.
• W1971386105 hasConceptScore W1971386105C17685861 @default.
• W1971386105 hasConceptScore W1971386105C182365436 @default.
• W1971386105 hasConceptScore W1971386105C205203396 @default.
• W1971386105 hasConceptScore W1971386105C28826006 @default.
• W1971386105 hasConceptScore W1971386105C30295242 @default.
• W1971386105 hasConceptScore W1971386105C31447003 @default.
• W1971386105 hasConceptScore W1971386105C33923547 @default.
• W1971386105 hasConceptScore W1971386105C41008148 @default.
• W1971386105 hasConceptScore W1971386105C502989409 @default.
• W1971386105 hasConceptScore W1971386105C5072599 @default.
• W1971386105 hasConceptScore W1971386105C72134830 @default.
• W1971386105 hasConceptScore W1971386105C73000952 @default.
• W1971386105 hasConceptScore W1971386105C88080468 @default.
• W1971386105 hasConceptScore W1971386105C90119067 @default.
• W1971386105 hasConceptScore W1971386105C97355855 @default.
• W1971386105 hasIssue "4" @default.
• W1971386105 hasLocation W19713861051 @default.
• W1971386105 hasOpenAccess W1971386105 @default.
• W1971386105 hasPrimaryLocation W19713861051 @default.
• W1971386105 hasRelatedWork W114315621 @default.
• W1971386105 hasRelatedWork W170899655 @default.
• W1971386105 hasRelatedWork W1984343351 @default.
• W1971386105 hasRelatedWork W2050334372 @default.
• W1971386105 hasRelatedWork W2137214434 @default.
• W1971386105 hasRelatedWork W2351816170 @default.
• W1971386105 hasRelatedWork W2381350116 @default.
• W1971386105 hasRelatedWork W2393417739 @default.
• W1971386105 hasRelatedWork W4249402202 @default.
• W1971386105 hasRelatedWork W4287646779 @default.
• W1971386105 hasVolume "5" @default.
• W1971386105 isParatext "false" @default.

• next