Matches in SemOpenAlex for { <https://semopenalex.org/work/W2314449622> ?p ?o ?g. }
- W2314449622 endingPage "606" @default.
- W2314449622 startingPage "567" @default.
- W2314449622 abstract "In this paper, we propose a new methodology for numerically solving elliptic and parabolic equations with discontinuous coefficients and singular source terms. This new scheme is obtained by clubbing a recently developed higher-order compact methodology with special interface treatment for the points just next to the points of discontinuity. The overall order of accuracy of the scheme is at least second. We first formulate the scheme for one-dimensional (1D) problems, and then extend it directly to two-dimensional (2D) problems in polar coordinates. In the process, we also perform convergence and related analysis for both the cases. Finally, we show a new direction of implementing the methodology to 2D problems in cartesian coordinates. We then conduct numerous numerical studies on a number of problems, both for 1D and 2D cases, including the flow past circular cylinder governed by the incompressible Navier–Stokes equations. We compare our results with existing numerical and experimental results. In all the cases, our formulation is found to produce better results on coarser grids. For the circular cylinder problem, the scheme used is seen to capture all the flow characteristics including the famous von Kármán vortex street. Copyright © 2016 John Wiley & Sons, Ltd." @default.
- W2314449622 created "2016-06-24" @default.
- W2314449622 creator A5005660921 @default.
- W2314449622 creator A5028762298 @default.
- W2314449622 creator A5078662482 @default.
- W2314449622 date "2016-03-28" @default.
- W2314449622 modified "2023-10-17" @default.
- W2314449622 title "A class of finite difference schemes for interface problems with an HOC approach" @default.
- W2314449622 cites W1967019947 @default.
- W2314449622 cites W1968136731 @default.
- W2314449622 cites W1982396064 @default.
- W2314449622 cites W1988462838 @default.
- W2314449622 cites W1988944051 @default.
- W2314449622 cites W1990305085 @default.
- W2314449622 cites W1996432343 @default.
- W2314449622 cites W1997815093 @default.
- W2314449622 cites W2006309046 @default.
- W2314449622 cites W2012474721 @default.
- W2314449622 cites W2026352675 @default.
- W2314449622 cites W2036955083 @default.
- W2314449622 cites W2040290486 @default.
- W2314449622 cites W2047425707 @default.
- W2314449622 cites W2057352214 @default.
- W2314449622 cites W2063728911 @default.
- W2314449622 cites W2064558227 @default.
- W2314449622 cites W2069267589 @default.
- W2314449622 cites W2071423816 @default.
- W2314449622 cites W2073237947 @default.
- W2314449622 cites W2077622536 @default.
- W2314449622 cites W2083739766 @default.
- W2314449622 cites W2084255831 @default.
- W2314449622 cites W2087219483 @default.
- W2314449622 cites W2087535883 @default.
- W2314449622 cites W2095006601 @default.
- W2314449622 cites W2102754941 @default.
- W2314449622 cites W2119315866 @default.
- W2314449622 cites W2121604987 @default.
- W2314449622 cites W2129531780 @default.
- W2314449622 cites W2130763803 @default.
- W2314449622 cites W2133758418 @default.
- W2314449622 cites W2141442730 @default.
- W2314449622 cites W2141613219 @default.
- W2314449622 cites W2143678861 @default.
- W2314449622 cites W2146913860 @default.
- W2314449622 cites W2170831028 @default.
- W2314449622 cites W2171576824 @default.
- W2314449622 cites W4254163830 @default.
- W2314449622 doi "https://doi.org/10.1002/fld.4231" @default.
- W2314449622 hasPublicationYear "2016" @default.
- W2314449622 type Work @default.
- W2314449622 sameAs 2314449622 @default.
- W2314449622 citedByCount "18" @default.
- W2314449622 countsByYear W23144496222017 @default.
- W2314449622 countsByYear W23144496222018 @default.
- W2314449622 countsByYear W23144496222019 @default.
- W2314449622 countsByYear W23144496222020 @default.
- W2314449622 countsByYear W23144496222021 @default.
- W2314449622 countsByYear W23144496222022 @default.
- W2314449622 countsByYear W23144496222023 @default.
- W2314449622 crossrefType "journal-article" @default.
- W2314449622 hasAuthorship W2314449622A5005660921 @default.
- W2314449622 hasAuthorship W2314449622A5028762298 @default.
- W2314449622 hasAuthorship W2314449622A5078662482 @default.
- W2314449622 hasConcept C121332964 @default.
- W2314449622 hasConcept C126255220 @default.
- W2314449622 hasConcept C134306372 @default.
- W2314449622 hasConcept C140820882 @default.
- W2314449622 hasConcept C16038011 @default.
- W2314449622 hasConcept C162324750 @default.
- W2314449622 hasConcept C203311528 @default.
- W2314449622 hasConcept C2524010 @default.
- W2314449622 hasConcept C2777042112 @default.
- W2314449622 hasConcept C2777303404 @default.
- W2314449622 hasConcept C2781278361 @default.
- W2314449622 hasConcept C28826006 @default.
- W2314449622 hasConcept C33923547 @default.
- W2314449622 hasConcept C38349280 @default.
- W2314449622 hasConcept C40069579 @default.
- W2314449622 hasConcept C50522688 @default.
- W2314449622 hasConcept C57879066 @default.
- W2314449622 hasConcept C84655787 @default.
- W2314449622 hasConceptScore W2314449622C121332964 @default.
- W2314449622 hasConceptScore W2314449622C126255220 @default.
- W2314449622 hasConceptScore W2314449622C134306372 @default.
- W2314449622 hasConceptScore W2314449622C140820882 @default.
- W2314449622 hasConceptScore W2314449622C16038011 @default.
- W2314449622 hasConceptScore W2314449622C162324750 @default.
- W2314449622 hasConceptScore W2314449622C203311528 @default.
- W2314449622 hasConceptScore W2314449622C2524010 @default.
- W2314449622 hasConceptScore W2314449622C2777042112 @default.
- W2314449622 hasConceptScore W2314449622C2777303404 @default.
- W2314449622 hasConceptScore W2314449622C2781278361 @default.
- W2314449622 hasConceptScore W2314449622C28826006 @default.
- W2314449622 hasConceptScore W2314449622C33923547 @default.
- W2314449622 hasConceptScore W2314449622C38349280 @default.
- W2314449622 hasConceptScore W2314449622C40069579 @default.
- W2314449622 hasConceptScore W2314449622C50522688 @default.
- W2314449622 hasConceptScore W2314449622C57879066 @default.