Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288017514> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W4288017514 abstract "We present an adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. The use of quadtree grids results in a robust, efficient and highly accurate numerical method. The quadtree model is developed based on the well-balanced positivity preserving central-upwind scheme proposed in [A. Kurganov and G. Petrova, Commun. Math. Sci., 5 (2007), pp. 133--160]. The designed scheme is well-balanced in the sense that it is capable of exactly preserving lake-at-rest steady states. In order to achieve this as well as to preserve positivity of water depth, a continuous piecewise bilinear interpolation of the bottom topography function is utilized. This makes the proposed scheme capable of modelling flows over discontinuous bottom topography. Local gradients are examined to determine new seeding points in grid refinement for the next timestep. Numerical examples demonstrate the promising performance of the central-upwind quadtree scheme." @default.
- W4288017514 created "2022-07-26" @default.
- W4288017514 creator A5018985640 @default.
- W4288017514 creator A5024233682 @default.
- W4288017514 creator A5051345592 @default.
- W4288017514 date "2019-11-27" @default.
- W4288017514 modified "2023-09-26" @default.
- W4288017514 title "An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations" @default.
- W4288017514 doi "https://doi.org/10.48550/arxiv.1911.12002" @default.
- W4288017514 hasPublicationYear "2019" @default.
- W4288017514 type Work @default.
- W4288017514 citedByCount "0" @default.
- W4288017514 crossrefType "posted-content" @default.
- W4288017514 hasAuthorship W4288017514A5018985640 @default.
- W4288017514 hasAuthorship W4288017514A5024233682 @default.
- W4288017514 hasAuthorship W4288017514A5051345592 @default.
- W4288017514 hasBestOaLocation W42880175141 @default.
- W4288017514 hasConcept C104114177 @default.
- W4288017514 hasConcept C105795698 @default.
- W4288017514 hasConcept C11413529 @default.
- W4288017514 hasConcept C134306372 @default.
- W4288017514 hasConcept C137800194 @default.
- W4288017514 hasConcept C140295346 @default.
- W4288017514 hasConcept C151416825 @default.
- W4288017514 hasConcept C154945302 @default.
- W4288017514 hasConcept C164660894 @default.
- W4288017514 hasConcept C187691185 @default.
- W4288017514 hasConcept C205203396 @default.
- W4288017514 hasConcept C2524010 @default.
- W4288017514 hasConcept C28826006 @default.
- W4288017514 hasConcept C33923547 @default.
- W4288017514 hasConcept C41008148 @default.
- W4288017514 hasConcept C73000952 @default.
- W4288017514 hasConcept C77618280 @default.
- W4288017514 hasConcept C94025248 @default.
- W4288017514 hasConceptScore W4288017514C104114177 @default.
- W4288017514 hasConceptScore W4288017514C105795698 @default.
- W4288017514 hasConceptScore W4288017514C11413529 @default.
- W4288017514 hasConceptScore W4288017514C134306372 @default.
- W4288017514 hasConceptScore W4288017514C137800194 @default.
- W4288017514 hasConceptScore W4288017514C140295346 @default.
- W4288017514 hasConceptScore W4288017514C151416825 @default.
- W4288017514 hasConceptScore W4288017514C154945302 @default.
- W4288017514 hasConceptScore W4288017514C164660894 @default.
- W4288017514 hasConceptScore W4288017514C187691185 @default.
- W4288017514 hasConceptScore W4288017514C205203396 @default.
- W4288017514 hasConceptScore W4288017514C2524010 @default.
- W4288017514 hasConceptScore W4288017514C28826006 @default.
- W4288017514 hasConceptScore W4288017514C33923547 @default.
- W4288017514 hasConceptScore W4288017514C41008148 @default.
- W4288017514 hasConceptScore W4288017514C73000952 @default.
- W4288017514 hasConceptScore W4288017514C77618280 @default.
- W4288017514 hasConceptScore W4288017514C94025248 @default.
- W4288017514 hasLocation W42880175141 @default.
- W4288017514 hasLocation W42880175142 @default.
- W4288017514 hasOpenAccess W4288017514 @default.
- W4288017514 hasPrimaryLocation W42880175141 @default.
- W4288017514 hasRelatedWork W1998747600 @default.
- W4288017514 hasRelatedWork W2005605869 @default.
- W4288017514 hasRelatedWork W2049181226 @default.
- W4288017514 hasRelatedWork W2387989637 @default.
- W4288017514 hasRelatedWork W2783006705 @default.
- W4288017514 hasRelatedWork W3006455797 @default.
- W4288017514 hasRelatedWork W3017264855 @default.
- W4288017514 hasRelatedWork W3036927019 @default.
- W4288017514 hasRelatedWork W311619709 @default.
- W4288017514 hasRelatedWork W4288017514 @default.
- W4288017514 isParatext "false" @default.
- W4288017514 isRetracted "false" @default.
- W4288017514 workType "article" @default.