Matches in SemOpenAlex for { <https://semopenalex.org/work/W2020955865> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2020955865 endingPage "1175" @default.
- W2020955865 startingPage "1159" @default.
- W2020955865 abstract "Various numerical techniques, such as wave‐speed adjustment or interpolation, are generally required in order to apply the fixed‐grid method of characteristics to multipipe systems or to systems with variable wave speed. However, these techniques introduce into the solution unwanted side effects such as numerical attenuation and dispersion. The present paper develops the concept of an equivalent hyperbolic differential equation to study how discretization errors arise in pipeline applications for the most common interpolation techniques. In particular, it is shown that space‐line interpolation and the Holly‐Preissmann scheme are equivalent to a wave‐diffusion model with an adjusted wave speed, but that the latter method has additional source and sink terms. Further, time‐line interpolation is shown to be equivalent to a superposition of two waves with different wave speeds. In general, the equivalent hyperbolic differential equation concept evaluates the consistency of the numerical scheme, provides a mathematical description of the numerical dissipation and dispersion, gives an independent way of determining the Courant condition, allows the comparison of alternative approaches, finds the wave path, and explains why higher‐order methods should usually be avoided." @default.
- W2020955865 created "2016-06-24" @default.
- W2020955865 creator A5018970020 @default.
- W2020955865 creator A5090463400 @default.
- W2020955865 date "1994-10-01" @default.
- W2020955865 modified "2023-10-15" @default.
- W2020955865 title "Equivalent Differential Equations in Fixed‐Grid Characteristics Method" @default.
- W2020955865 cites W1566239443 @default.
- W2020955865 cites W1972331899 @default.
- W2020955865 cites W1981438937 @default.
- W2020955865 cites W1981580206 @default.
- W2020955865 cites W2006288629 @default.
- W2020955865 cites W2015465669 @default.
- W2020955865 cites W2050785853 @default.
- W2020955865 cites W2057273102 @default.
- W2020955865 cites W2080950313 @default.
- W2020955865 cites W2090417075 @default.
- W2020955865 cites W2093144351 @default.
- W2020955865 cites W2099836964 @default.
- W2020955865 cites W2124204233 @default.
- W2020955865 cites W2139227081 @default.
- W2020955865 cites W2293186334 @default.
- W2020955865 doi "https://doi.org/10.1061/(asce)0733-9429(1994)120:10(1159)" @default.
- W2020955865 hasPublicationYear "1994" @default.
- W2020955865 type Work @default.
- W2020955865 sameAs 2020955865 @default.
- W2020955865 citedByCount "64" @default.
- W2020955865 countsByYear W20209558652013 @default.
- W2020955865 countsByYear W20209558652014 @default.
- W2020955865 countsByYear W20209558652015 @default.
- W2020955865 countsByYear W20209558652016 @default.
- W2020955865 countsByYear W20209558652017 @default.
- W2020955865 countsByYear W20209558652018 @default.
- W2020955865 countsByYear W20209558652019 @default.
- W2020955865 countsByYear W20209558652020 @default.
- W2020955865 countsByYear W20209558652021 @default.
- W2020955865 countsByYear W20209558652022 @default.
- W2020955865 countsByYear W20209558652023 @default.
- W2020955865 crossrefType "journal-article" @default.
- W2020955865 hasAuthorship W2020955865A5018970020 @default.
- W2020955865 hasAuthorship W2020955865A5090463400 @default.
- W2020955865 hasConcept C104114177 @default.
- W2020955865 hasConcept C111615704 @default.
- W2020955865 hasConcept C121332964 @default.
- W2020955865 hasConcept C134306372 @default.
- W2020955865 hasConcept C135402231 @default.
- W2020955865 hasConcept C137800194 @default.
- W2020955865 hasConcept C27753989 @default.
- W2020955865 hasConcept C28826006 @default.
- W2020955865 hasConcept C30295242 @default.
- W2020955865 hasConcept C33163149 @default.
- W2020955865 hasConcept C33923547 @default.
- W2020955865 hasConcept C51544822 @default.
- W2020955865 hasConcept C73000952 @default.
- W2020955865 hasConcept C74650414 @default.
- W2020955865 hasConcept C78045399 @default.
- W2020955865 hasConcept C93779851 @default.
- W2020955865 hasConcept C97355855 @default.
- W2020955865 hasConceptScore W2020955865C104114177 @default.
- W2020955865 hasConceptScore W2020955865C111615704 @default.
- W2020955865 hasConceptScore W2020955865C121332964 @default.
- W2020955865 hasConceptScore W2020955865C134306372 @default.
- W2020955865 hasConceptScore W2020955865C135402231 @default.
- W2020955865 hasConceptScore W2020955865C137800194 @default.
- W2020955865 hasConceptScore W2020955865C27753989 @default.
- W2020955865 hasConceptScore W2020955865C28826006 @default.
- W2020955865 hasConceptScore W2020955865C30295242 @default.
- W2020955865 hasConceptScore W2020955865C33163149 @default.
- W2020955865 hasConceptScore W2020955865C33923547 @default.
- W2020955865 hasConceptScore W2020955865C51544822 @default.
- W2020955865 hasConceptScore W2020955865C73000952 @default.
- W2020955865 hasConceptScore W2020955865C74650414 @default.
- W2020955865 hasConceptScore W2020955865C78045399 @default.
- W2020955865 hasConceptScore W2020955865C93779851 @default.
- W2020955865 hasConceptScore W2020955865C97355855 @default.
- W2020955865 hasIssue "10" @default.
- W2020955865 hasLocation W20209558651 @default.
- W2020955865 hasOpenAccess W2020955865 @default.
- W2020955865 hasPrimaryLocation W20209558651 @default.
- W2020955865 hasRelatedWork W2140402431 @default.
- W2020955865 hasRelatedWork W2156090261 @default.
- W2020955865 hasRelatedWork W2351702824 @default.
- W2020955865 hasRelatedWork W2359527681 @default.
- W2020955865 hasRelatedWork W2373567731 @default.
- W2020955865 hasRelatedWork W2377182023 @default.
- W2020955865 hasRelatedWork W2393704039 @default.
- W2020955865 hasRelatedWork W2481131171 @default.
- W2020955865 hasRelatedWork W2990094347 @default.
- W2020955865 hasRelatedWork W845104435 @default.
- W2020955865 hasVolume "120" @default.
- W2020955865 isParatext "false" @default.
- W2020955865 isRetracted "false" @default.
- W2020955865 magId "2020955865" @default.
- W2020955865 workType "article" @default.