Matches in SemOpenAlex for { <https://semopenalex.org/work/W2031208469> ?p ?o ?g. }
- W2031208469 endingPage "673" @default.
- W2031208469 startingPage "645" @default.
- W2031208469 abstract "In simulations of magnetohydrodynamic (MHD) processes the violation of the divergence constraint causes severe stability problems. In this paper we develop and test a new approach to the stabilization of numerical schemes. Our technique can be easily implemented in any existing code since there is no need to modify the solver for the MHD equations. It is based on a modified system in which the divergence constraint is coupled with the conservation laws by introducing a generalized Lagrange multiplier. We suggest a formulation in which the divergence errors are transported to the domain boundaries with the maximal admissible speed and are damped at the same time. This corrected system is hyperbolic and the density, momentum, magnetic induction, and total energy density are still conserved. In comparison to results obtained without correction or with the standard “divergence source terms,” our approach seems to yield more robust schemes with significantly smaller divergence errors." @default.
- W2031208469 created "2016-06-24" @default.
- W2031208469 creator A5007929651 @default.
- W2031208469 creator A5018746315 @default.
- W2031208469 creator A5035392321 @default.
- W2031208469 creator A5060184913 @default.
- W2031208469 creator A5076138160 @default.
- W2031208469 creator A5078068613 @default.
- W2031208469 date "2002-01-01" @default.
- W2031208469 modified "2023-10-18" @default.
- W2031208469 title "Hyperbolic Divergence Cleaning for the MHD Equations" @default.
- W2031208469 cites W1963572177 @default.
- W2031208469 cites W1965534279 @default.
- W2031208469 cites W1974245956 @default.
- W2031208469 cites W1974526709 @default.
- W2031208469 cites W1979964674 @default.
- W2031208469 cites W1980507580 @default.
- W2031208469 cites W1984356688 @default.
- W2031208469 cites W1986773674 @default.
- W2031208469 cites W1992057274 @default.
- W2031208469 cites W1997144928 @default.
- W2031208469 cites W1997690237 @default.
- W2031208469 cites W1999105805 @default.
- W2031208469 cites W2015650220 @default.
- W2031208469 cites W2022749544 @default.
- W2031208469 cites W2026700540 @default.
- W2031208469 cites W2032430287 @default.
- W2031208469 cites W2034154296 @default.
- W2031208469 cites W2037812841 @default.
- W2031208469 cites W2038340489 @default.
- W2031208469 cites W2040870303 @default.
- W2031208469 cites W2052873614 @default.
- W2031208469 cites W2056665075 @default.
- W2031208469 cites W2057583810 @default.
- W2031208469 cites W2063900474 @default.
- W2031208469 cites W2072712519 @default.
- W2031208469 cites W2082755967 @default.
- W2031208469 cites W2082783093 @default.
- W2031208469 cites W2088432916 @default.
- W2031208469 cites W2094818681 @default.
- W2031208469 cites W2102337582 @default.
- W2031208469 cites W2142063750 @default.
- W2031208469 cites W2158427036 @default.
- W2031208469 cites W2320796858 @default.
- W2031208469 cites W2326756382 @default.
- W2031208469 cites W3103839558 @default.
- W2031208469 cites W3106200540 @default.
- W2031208469 cites W4251809380 @default.
- W2031208469 doi "https://doi.org/10.1006/jcph.2001.6961" @default.
- W2031208469 hasPublicationYear "2002" @default.
- W2031208469 type Work @default.
- W2031208469 sameAs 2031208469 @default.
- W2031208469 citedByCount "995" @default.
- W2031208469 countsByYear W20312084692012 @default.
- W2031208469 countsByYear W20312084692013 @default.
- W2031208469 countsByYear W20312084692014 @default.
- W2031208469 countsByYear W20312084692015 @default.
- W2031208469 countsByYear W20312084692016 @default.
- W2031208469 countsByYear W20312084692017 @default.
- W2031208469 countsByYear W20312084692018 @default.
- W2031208469 countsByYear W20312084692019 @default.
- W2031208469 countsByYear W20312084692020 @default.
- W2031208469 countsByYear W20312084692021 @default.
- W2031208469 countsByYear W20312084692022 @default.
- W2031208469 countsByYear W20312084692023 @default.
- W2031208469 crossrefType "journal-article" @default.
- W2031208469 hasAuthorship W2031208469A5007929651 @default.
- W2031208469 hasAuthorship W2031208469A5018746315 @default.
- W2031208469 hasAuthorship W2031208469A5035392321 @default.
- W2031208469 hasAuthorship W2031208469A5060184913 @default.
- W2031208469 hasAuthorship W2031208469A5076138160 @default.
- W2031208469 hasAuthorship W2031208469A5078068613 @default.
- W2031208469 hasConcept C10138342 @default.
- W2031208469 hasConcept C115260700 @default.
- W2031208469 hasConcept C121332964 @default.
- W2031208469 hasConcept C126255220 @default.
- W2031208469 hasConcept C134306372 @default.
- W2031208469 hasConcept C138885662 @default.
- W2031208469 hasConcept C162324750 @default.
- W2031208469 hasConcept C207390915 @default.
- W2031208469 hasConcept C2524010 @default.
- W2031208469 hasConcept C2776036281 @default.
- W2031208469 hasConcept C2778770139 @default.
- W2031208469 hasConcept C28826006 @default.
- W2031208469 hasConcept C31532427 @default.
- W2031208469 hasConcept C33923547 @default.
- W2031208469 hasConcept C3445786 @default.
- W2031208469 hasConcept C41895202 @default.
- W2031208469 hasConcept C42471609 @default.
- W2031208469 hasConcept C60718061 @default.
- W2031208469 hasConcept C62520636 @default.
- W2031208469 hasConcept C73684929 @default.
- W2031208469 hasConceptScore W2031208469C10138342 @default.
- W2031208469 hasConceptScore W2031208469C115260700 @default.
- W2031208469 hasConceptScore W2031208469C121332964 @default.
- W2031208469 hasConceptScore W2031208469C126255220 @default.
- W2031208469 hasConceptScore W2031208469C134306372 @default.
- W2031208469 hasConceptScore W2031208469C138885662 @default.