Matches in SemOpenAlex for { <https://semopenalex.org/work/W2046900856> ?p ?o ?g. }
- W2046900856 endingPage "360" @default.
- W2046900856 startingPage "331" @default.
- W2046900856 abstract "The numerical approximation of shallow‐water models is a delicate problem. For most of the discretization schemes, the coupling between the momentum and the continuity equations usually leads to anomalous dispersion in the representation of fast waves. A dispersion relation analysis is employed here to ascertain the presence and determine the form of spurious modes as well as the dispersive nature of the finite‐element Galerkin mixed formulation of the two‐dimensional linearized shallow‐water equations. Nine popular finite‐element pairs are considered using a variety of mixed interpolation schemes. For each pair the frequency or dispersion relation is obtained and analyzed, and the dispersion properties are compared analytically and graphically with the continuous case. It is shown that certain choices of mixed interpolation schemes may lead to significant phase and group velocity errors and spurious solutions in the calculation of fast waves. The $P^{NC}_{1} - P^{}_{1}$ and RT0 pairs are identified as a promising compromise, provided the grid resolution is high relative to the Rossby radius of deformation for the RT0 element. The numerical solutions of two test problems to simulate fast waves are in good agreement with the analytical results." @default.
- W2046900856 created "2016-06-24" @default.
- W2046900856 creator A5000654955 @default.
- W2046900856 creator A5028100534 @default.
- W2046900856 creator A5046810181 @default.
- W2046900856 date "2007-01-01" @default.
- W2046900856 modified "2023-09-27" @default.
- W2046900856 title "Analysis of Numerically Induced Oscillations in 2D Finite‐Element Shallow‐Water Models Part I: Inertia‐Gravity Waves" @default.
- W2046900856 cites W1570976541 @default.
- W2046900856 cites W1964610757 @default.
- W2046900856 cites W1966473389 @default.
- W2046900856 cites W1974382760 @default.
- W2046900856 cites W1980142860 @default.
- W2046900856 cites W1984596684 @default.
- W2046900856 cites W1985469018 @default.
- W2046900856 cites W1992966148 @default.
- W2046900856 cites W2002686228 @default.
- W2046900856 cites W2005566627 @default.
- W2046900856 cites W2006969537 @default.
- W2046900856 cites W2014688297 @default.
- W2046900856 cites W2031070610 @default.
- W2046900856 cites W2049914863 @default.
- W2046900856 cites W2055883962 @default.
- W2046900856 cites W2064219358 @default.
- W2046900856 cites W2067392615 @default.
- W2046900856 cites W2073209956 @default.
- W2046900856 cites W2079497053 @default.
- W2046900856 cites W2080697724 @default.
- W2046900856 cites W2084131955 @default.
- W2046900856 cites W2086823102 @default.
- W2046900856 cites W2093033880 @default.
- W2046900856 cites W2094388431 @default.
- W2046900856 cites W2121361653 @default.
- W2046900856 cites W2126823128 @default.
- W2046900856 cites W2130350269 @default.
- W2046900856 cites W2138252088 @default.
- W2046900856 cites W2139013563 @default.
- W2046900856 cites W2147362949 @default.
- W2046900856 cites W2159752176 @default.
- W2046900856 cites W2159752342 @default.
- W2046900856 cites W2166037769 @default.
- W2046900856 cites W2176229542 @default.
- W2046900856 cites W2177646996 @default.
- W2046900856 cites W4231394311 @default.
- W2046900856 doi "https://doi.org/10.1137/060650106" @default.
- W2046900856 hasPublicationYear "2007" @default.
- W2046900856 type Work @default.
- W2046900856 sameAs 2046900856 @default.
- W2046900856 citedByCount "66" @default.
- W2046900856 countsByYear W20469008562012 @default.
- W2046900856 countsByYear W20469008562013 @default.
- W2046900856 countsByYear W20469008562014 @default.
- W2046900856 countsByYear W20469008562015 @default.
- W2046900856 countsByYear W20469008562016 @default.
- W2046900856 countsByYear W20469008562017 @default.
- W2046900856 countsByYear W20469008562018 @default.
- W2046900856 countsByYear W20469008562019 @default.
- W2046900856 countsByYear W20469008562020 @default.
- W2046900856 countsByYear W20469008562021 @default.
- W2046900856 countsByYear W20469008562023 @default.
- W2046900856 crossrefType "journal-article" @default.
- W2046900856 hasAuthorship W2046900856A5000654955 @default.
- W2046900856 hasAuthorship W2046900856A5028100534 @default.
- W2046900856 hasAuthorship W2046900856A5046810181 @default.
- W2046900856 hasConcept C104114177 @default.
- W2046900856 hasConcept C105795698 @default.
- W2046900856 hasConcept C120665830 @default.
- W2046900856 hasConcept C121332964 @default.
- W2046900856 hasConcept C134306372 @default.
- W2046900856 hasConcept C135628077 @default.
- W2046900856 hasConcept C137800194 @default.
- W2046900856 hasConcept C140295346 @default.
- W2046900856 hasConcept C177562468 @default.
- W2046900856 hasConcept C186899397 @default.
- W2046900856 hasConcept C202579712 @default.
- W2046900856 hasConcept C33923547 @default.
- W2046900856 hasConcept C57879066 @default.
- W2046900856 hasConcept C62520636 @default.
- W2046900856 hasConcept C73000952 @default.
- W2046900856 hasConcept C74650414 @default.
- W2046900856 hasConcept C97256817 @default.
- W2046900856 hasConcept C97355855 @default.
- W2046900856 hasConceptScore W2046900856C104114177 @default.
- W2046900856 hasConceptScore W2046900856C105795698 @default.
- W2046900856 hasConceptScore W2046900856C120665830 @default.
- W2046900856 hasConceptScore W2046900856C121332964 @default.
- W2046900856 hasConceptScore W2046900856C134306372 @default.
- W2046900856 hasConceptScore W2046900856C135628077 @default.
- W2046900856 hasConceptScore W2046900856C137800194 @default.
- W2046900856 hasConceptScore W2046900856C140295346 @default.
- W2046900856 hasConceptScore W2046900856C177562468 @default.
- W2046900856 hasConceptScore W2046900856C186899397 @default.
- W2046900856 hasConceptScore W2046900856C202579712 @default.
- W2046900856 hasConceptScore W2046900856C33923547 @default.
- W2046900856 hasConceptScore W2046900856C57879066 @default.
- W2046900856 hasConceptScore W2046900856C62520636 @default.
- W2046900856 hasConceptScore W2046900856C73000952 @default.
- W2046900856 hasConceptScore W2046900856C74650414 @default.