Matches in SemOpenAlex for { <https://semopenalex.org/work/W2556291925> ?p ?o ?g. }
- W2556291925 endingPage "178" @default.
- W2556291925 startingPage "155" @default.
- W2556291925 abstract "The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet for fluid problems it only achieves first-order spatial accuracy near embedded boundaries for the velocity field and fails to converge pointwise for elements of the stress tensor. In a previous work we introduced the Immersed Boundary Smooth Extension (IBSE) method, a variation of the IB method that achieves high-order accuracy for elliptic PDE by smoothly extending the unknown solution of the PDE from a given smooth domain to a larger computational domain, enabling the use of simple Cartesian-grid discretizations. In this work, we extend the IBSE method to allow for the imposition of a divergence constraint, and demonstrate high-order convergence for the Stokes and incompressible Navier–Stokes equations: up to third-order pointwise convergence for the velocity field, and second-order pointwise convergence for all elements of the stress tensor. The method is flexible to the underlying discretization: we demonstrate solutions produced using both a Fourier spectral discretization and a standard second-order finite-difference discretization." @default.
- W2556291925 created "2016-11-30" @default.
- W2556291925 creator A5020454362 @default.
- W2556291925 creator A5036083892 @default.
- W2556291925 creator A5072156472 @default.
- W2556291925 date "2017-04-01" @default.
- W2556291925 modified "2023-10-12" @default.
- W2556291925 title "Immersed Boundary Smooth Extension (IBSE): A high-order method for solving incompressible flows in arbitrary smooth domains" @default.
- W2556291925 cites W1490986592 @default.
- W2556291925 cites W1781658615 @default.
- W2556291925 cites W1971181547 @default.
- W2556291925 cites W1971432154 @default.
- W2556291925 cites W1983549191 @default.
- W2556291925 cites W1997909663 @default.
- W2556291925 cites W2010945250 @default.
- W2556291925 cites W2017278112 @default.
- W2556291925 cites W2030435498 @default.
- W2556291925 cites W2032534690 @default.
- W2556291925 cites W2036596089 @default.
- W2556291925 cites W2041410208 @default.
- W2556291925 cites W2045618004 @default.
- W2556291925 cites W2047425707 @default.
- W2556291925 cites W2049856588 @default.
- W2556291925 cites W2057256219 @default.
- W2556291925 cites W2060114697 @default.
- W2556291925 cites W2066313543 @default.
- W2556291925 cites W2071423816 @default.
- W2556291925 cites W2076077791 @default.
- W2556291925 cites W2077852061 @default.
- W2556291925 cites W2084131634 @default.
- W2556291925 cites W2087219483 @default.
- W2556291925 cites W2090022687 @default.
- W2556291925 cites W2092284897 @default.
- W2556291925 cites W2095539128 @default.
- W2556291925 cites W2110329595 @default.
- W2556291925 cites W2113251641 @default.
- W2556291925 cites W2114589706 @default.
- W2556291925 cites W2128618499 @default.
- W2556291925 cites W2145851836 @default.
- W2556291925 cites W2146913860 @default.
- W2556291925 cites W2162950776 @default.
- W2556291925 cites W2187758344 @default.
- W2556291925 cites W3098023526 @default.
- W2556291925 cites W3099334783 @default.
- W2556291925 doi "https://doi.org/10.1016/j.jcp.2017.01.010" @default.
- W2556291925 hasPublicationYear "2017" @default.
- W2556291925 type Work @default.
- W2556291925 sameAs 2556291925 @default.
- W2556291925 citedByCount "44" @default.
- W2556291925 countsByYear W25562919252017 @default.
- W2556291925 countsByYear W25562919252018 @default.
- W2556291925 countsByYear W25562919252019 @default.
- W2556291925 countsByYear W25562919252020 @default.
- W2556291925 countsByYear W25562919252021 @default.
- W2556291925 countsByYear W25562919252022 @default.
- W2556291925 countsByYear W25562919252023 @default.
- W2556291925 crossrefType "journal-article" @default.
- W2556291925 hasAuthorship W2556291925A5020454362 @default.
- W2556291925 hasAuthorship W2556291925A5036083892 @default.
- W2556291925 hasAuthorship W2556291925A5072156472 @default.
- W2556291925 hasBestOaLocation W25562919251 @default.
- W2556291925 hasConcept C134306372 @default.
- W2556291925 hasConcept C155281189 @default.
- W2556291925 hasConcept C162324750 @default.
- W2556291925 hasConcept C171338203 @default.
- W2556291925 hasConcept C2524010 @default.
- W2556291925 hasConcept C2777303404 @default.
- W2556291925 hasConcept C2777984123 @default.
- W2556291925 hasConcept C33923547 @default.
- W2556291925 hasConcept C50522688 @default.
- W2556291925 hasConcept C62354387 @default.
- W2556291925 hasConcept C73000952 @default.
- W2556291925 hasConcept C91188154 @default.
- W2556291925 hasConceptScore W2556291925C134306372 @default.
- W2556291925 hasConceptScore W2556291925C155281189 @default.
- W2556291925 hasConceptScore W2556291925C162324750 @default.
- W2556291925 hasConceptScore W2556291925C171338203 @default.
- W2556291925 hasConceptScore W2556291925C2524010 @default.
- W2556291925 hasConceptScore W2556291925C2777303404 @default.
- W2556291925 hasConceptScore W2556291925C2777984123 @default.
- W2556291925 hasConceptScore W2556291925C33923547 @default.
- W2556291925 hasConceptScore W2556291925C50522688 @default.
- W2556291925 hasConceptScore W2556291925C62354387 @default.
- W2556291925 hasConceptScore W2556291925C73000952 @default.
- W2556291925 hasConceptScore W2556291925C91188154 @default.
- W2556291925 hasFunder F4320306076 @default.
- W2556291925 hasLocation W25562919251 @default.
- W2556291925 hasLocation W25562919252 @default.
- W2556291925 hasOpenAccess W2556291925 @default.
- W2556291925 hasPrimaryLocation W25562919251 @default.
- W2556291925 hasRelatedWork W1994054506 @default.
- W2556291925 hasRelatedWork W2011152111 @default.
- W2556291925 hasRelatedWork W2025089032 @default.
- W2556291925 hasRelatedWork W2274961214 @default.
- W2556291925 hasRelatedWork W3097688215 @default.
- W2556291925 hasRelatedWork W3100890325 @default.
- W2556291925 hasRelatedWork W3182189131 @default.
- W2556291925 hasRelatedWork W4288364108 @default.