Matches in SemOpenAlex for { <https://semopenalex.org/work/W2016234803> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W2016234803 abstract "Recently, Chang 1 reported a new class of high-order CESE methods for solving nonlinear hyperbolic partial differential equations. A series of high-order algorithms have been developed based on a systematic, recursive formulation that achieves fourth-, sixth-, and eighth-order accuracy. The new high-order CESE method shares many favorable attributes of the original second- order CESE method, including: (i) compact mesh stencil involving only the immediate mesh nodes surrounding the node where the solution is sought, (ii) the CFL stability constraint remains to be the same, i.e., ≤ 1, as compared to the original second-order method, and (iii) superb shock capturing capability without using an approximate Riemann solver. The new algorithm has been demonstrated by solving Burger’s equation. In the present paper, we extend Chang’s high-order method for system of linear and nonlinear hyperbolic partial differential equations. A general formulation is presented for solving the coupled equations with arbitrarily high-order accuracy. To demonstrate the formulation, several linear and nonlinear cases are reported. First, we solve a convection equation with source term and the linear acoustics equations. We then solve the Euler equations for acoustic waves, a blast wave, and Shu and Osher’s test case for acoustic waves interacting with a shock. Numerical results show higher-order convergence by continuous mesh refinement." @default.
- W2016234803 created "2016-06-24" @default.
- W2016234803 creator A5083940322 @default.
- W2016234803 date "2011-01-04" @default.
- W2016234803 modified "2023-09-27" @default.
- W2016234803 title "High-Order CESE Methods for the Euler Equations" @default.
- W2016234803 cites W1973481688 @default.
- W2016234803 cites W1999399767 @default.
- W2016234803 cites W2010726731 @default.
- W2016234803 cites W2040371606 @default.
- W2016234803 cites W2109614403 @default.
- W2016234803 cites W2329648280 @default.
- W2016234803 doi "https://doi.org/10.2514/6.2011-298" @default.
- W2016234803 hasPublicationYear "2011" @default.
- W2016234803 type Work @default.
- W2016234803 sameAs 2016234803 @default.
- W2016234803 citedByCount "8" @default.
- W2016234803 countsByYear W20162348032012 @default.
- W2016234803 countsByYear W20162348032013 @default.
- W2016234803 countsByYear W20162348032015 @default.
- W2016234803 countsByYear W20162348032019 @default.
- W2016234803 countsByYear W20162348032020 @default.
- W2016234803 countsByYear W20162348032023 @default.
- W2016234803 crossrefType "proceedings-article" @default.
- W2016234803 hasAuthorship W2016234803A5083940322 @default.
- W2016234803 hasConcept C10138342 @default.
- W2016234803 hasConcept C134306372 @default.
- W2016234803 hasConcept C162324750 @default.
- W2016234803 hasConcept C182306322 @default.
- W2016234803 hasConcept C28826006 @default.
- W2016234803 hasConcept C33923547 @default.
- W2016234803 hasConcept C38409319 @default.
- W2016234803 hasConcept C41008148 @default.
- W2016234803 hasConcept C62884695 @default.
- W2016234803 hasConcept C768646 @default.
- W2016234803 hasConcept C93082080 @default.
- W2016234803 hasConceptScore W2016234803C10138342 @default.
- W2016234803 hasConceptScore W2016234803C134306372 @default.
- W2016234803 hasConceptScore W2016234803C162324750 @default.
- W2016234803 hasConceptScore W2016234803C182306322 @default.
- W2016234803 hasConceptScore W2016234803C28826006 @default.
- W2016234803 hasConceptScore W2016234803C33923547 @default.
- W2016234803 hasConceptScore W2016234803C38409319 @default.
- W2016234803 hasConceptScore W2016234803C41008148 @default.
- W2016234803 hasConceptScore W2016234803C62884695 @default.
- W2016234803 hasConceptScore W2016234803C768646 @default.
- W2016234803 hasConceptScore W2016234803C93082080 @default.
- W2016234803 hasLocation W20162348031 @default.
- W2016234803 hasOpenAccess W2016234803 @default.
- W2016234803 hasPrimaryLocation W20162348031 @default.
- W2016234803 hasRelatedWork W2001126463 @default.
- W2016234803 hasRelatedWork W2039299714 @default.
- W2016234803 hasRelatedWork W2046217704 @default.
- W2016234803 hasRelatedWork W2079547538 @default.
- W2016234803 hasRelatedWork W2211753352 @default.
- W2016234803 hasRelatedWork W2221851535 @default.
- W2016234803 hasRelatedWork W2317963290 @default.
- W2016234803 hasRelatedWork W2357986411 @default.
- W2016234803 hasRelatedWork W2378504881 @default.
- W2016234803 hasRelatedWork W2417495913 @default.
- W2016234803 isParatext "false" @default.
- W2016234803 isRetracted "false" @default.
- W2016234803 magId "2016234803" @default.
- W2016234803 workType "article" @default.