FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2019653437> ?p ?o ?g. }

• W2019653437 endingPage "6535" @default.
• W2019653437 startingPage "6514" @default.
• W2019653437 abstract "An innovating approach is proposed to solve vectorial conservation laws on curved manifolds using the discontinuous Galerkin method. This new approach combines the advantages of the usual approaches described in the literature. The vectorial fields are expressed in a unit non-orthogonal local tangent basis derived from the polynomial mapping of curvilinear triangle elements, while the convective flux functions are written is the usual 3D Cartesian coordinate system. The number of vectorial components is therefore minimum and the tangency constraint is naturally ensured, while the method remains robust and general since not relying on a particular parametrization of the manifold. The discontinuous Galerkin method is particularly well suited for this approach since there is no continuity requirement between elements for the tangent basis definition. The possible discontinuities of this basis are then taken into account in the Riemann solver on inter-element interfaces. The approach is validated on the sphere, using the shallow water equations for computing standard atmospheric benchmarks. In particular, the Williamson test cases are used to analyze the impact of the geometry on the convergence rates for discretization error. The propagation of gravity waves is eventually computed on non-conventional irregular curved manifolds to illustrate the robustness and generality of the method." @default.
• W2019653437 created "2016-06-24" @default.
• W2019653437 creator A5008196958 @default.
• W2019653437 creator A5018490078 @default.
• W2019653437 creator A5019486669 @default.
• W2019653437 creator A5032978042 @default.
• W2019653437 creator A5053989644 @default.
• W2019653437 date "2009-09-01" @default.
• W2019653437 modified "2023-10-16" @default.
• W2019653437 title "High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations" @default.
• W2019653437 cites W1971879059 @default.
• W2019653437 cites W1980314418 @default.
• W2019653437 cites W1991440291 @default.
• W2019653437 cites W1991452709 @default.
• W2019653437 cites W1992123918 @default.
• W2019653437 cites W1993184792 @default.
• W2019653437 cites W2002083525 @default.
• W2019653437 cites W2007472958 @default.
• W2019653437 cites W2007567241 @default.
• W2019653437 cites W2009721114 @default.
• W2019653437 cites W2010776282 @default.
• W2019653437 cites W2015354725 @default.
• W2019653437 cites W2016255251 @default.
• W2019653437 cites W2028174880 @default.
• W2019653437 cites W2028928494 @default.
• W2019653437 cites W2031070610 @default.
• W2019653437 cites W2032242810 @default.
• W2019653437 cites W2038107889 @default.
• W2019653437 cites W2039748581 @default.
• W2019653437 cites W2040787464 @default.
• W2019653437 cites W2043742248 @default.
• W2019653437 cites W2045551418 @default.
• W2019653437 cites W2057858153 @default.
• W2019653437 cites W2059017100 @default.
• W2019653437 cites W2062805247 @default.
• W2019653437 cites W2071681524 @default.
• W2019653437 cites W2072531818 @default.
• W2019653437 cites W2075210215 @default.
• W2019653437 cites W2076247888 @default.
• W2019653437 cites W2078679165 @default.
• W2019653437 cites W2080697724 @default.
• W2019653437 cites W2080997524 @default.
• W2019653437 cites W2081211815 @default.
• W2019653437 cites W2083341006 @default.
• W2019653437 cites W2088584348 @default.
• W2019653437 cites W2088718866 @default.
• W2019653437 cites W2091921470 @default.
• W2019653437 cites W2094388431 @default.
• W2019653437 cites W2096488719 @default.
• W2019653437 cites W2105756363 @default.
• W2019653437 cites W2112311198 @default.
• W2019653437 cites W2115018596 @default.
• W2019653437 cites W2116377738 @default.
• W2019653437 cites W2118725377 @default.
• W2019653437 cites W2131843694 @default.
• W2019653437 cites W2142913417 @default.
• W2019653437 cites W2145421992 @default.
• W2019653437 cites W2162359418 @default.
• W2019653437 cites W2162655362 @default.
• W2019653437 cites W2176070563 @default.
• W2019653437 cites W2327777426 @default.
• W2019653437 cites W4214751139 @default.
• W2019653437 cites W4250320447 @default.
• W2019653437 cites W4252060206 @default.
• W2019653437 cites W4317640780 @default.
• W2019653437 doi "https://doi.org/10.1016/j.jcp.2009.05.046" @default.
• W2019653437 hasPublicationYear "2009" @default.
• W2019653437 type Work @default.
• W2019653437 sameAs 2019653437 @default.
• W2019653437 citedByCount "46" @default.
• W2019653437 countsByYear W20196534372012 @default.
• W2019653437 countsByYear W20196534372013 @default.
• W2019653437 countsByYear W20196534372014 @default.
• W2019653437 countsByYear W20196534372015 @default.
• W2019653437 countsByYear W20196534372017 @default.
• W2019653437 countsByYear W20196534372019 @default.
• W2019653437 countsByYear W20196534372020 @default.
• W2019653437 countsByYear W20196534372021 @default.
• W2019653437 countsByYear W20196534372022 @default.
• W2019653437 countsByYear W20196534372023 @default.
• W2019653437 crossrefType "journal-article" @default.
• W2019653437 hasAuthorship W2019653437A5008196958 @default.
• W2019653437 hasAuthorship W2019653437A5018490078 @default.
• W2019653437 hasAuthorship W2019653437A5019486669 @default.
• W2019653437 hasAuthorship W2019653437A5032978042 @default.
• W2019653437 hasAuthorship W2019653437A5053989644 @default.
• W2019653437 hasConcept C120796332 @default.
• W2019653437 hasConcept C121332964 @default.
• W2019653437 hasConcept C134306372 @default.
• W2019653437 hasConcept C135628077 @default.
• W2019653437 hasConcept C140295346 @default.
• W2019653437 hasConcept C186899397 @default.
• W2019653437 hasConcept C2524010 @default.
• W2019653437 hasConcept C28826006 @default.
• W2019653437 hasConcept C33923547 @default.
• W2019653437 hasConcept C50478463 @default.
• W2019653437 hasConcept C57879066 @default.
• W2019653437 hasConcept C5917680 @default.

• next