Matches in SemOpenAlex for { <https://semopenalex.org/work/W3167491091> ?p ?o ?g. }
- W3167491091 abstract "A class of high-order shock-capturing schemes, P$_n$T$_m$-BVD (Deng et al., J. Comp. Phys., 386:323-349, 2019; Comput. & Fluids, 200:104433, 2020.) schemes, have been devised to solve the Euler equations with substantially reduced numerical dissipation, which enable high-resolution simulations to resolve flow structures of wider range scales. In such simulations with low dissipation, errors of round-off level might grow and contaminate the numerical solutions. A typical example of such problems is the loss of symmetry in the numerical solutions for physical problems of symmetric configurations even if the schemes are mathematically in line with the symmetry rules. In this study, the mechanisms of symmetry-breaking in a finite volume framework with the P$_4$T$_2$-BVD reconstruction scheme are thoroughly examined. Particular attention has been paid to remove the possible causes due to the lack of associativity in floating-point arithmetic which is associated with round-off errors. Modifications and new techniques are proposed to completely remove the possible causes for symmetry breaking in different components of the P$_4$T$_2$-BVD finite volume solver. Benchmark tests that have symmetric solution structures are used to verify the proposed methods. The numerical results demonstrate the perfect symmetric solution structures." @default.
- W3167491091 created "2021-06-22" @default.
- W3167491091 creator A5047821481 @default.
- W3167491091 creator A5070164521 @default.
- W3167491091 creator A5086938169 @default.
- W3167491091 date "2021-06-03" @default.
- W3167491091 modified "2023-10-16" @default.
- W3167491091 title "Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle" @default.
- W3167491091 cites W1075074235 @default.
- W3167491091 cites W1537224157 @default.
- W3167491091 cites W1757663131 @default.
- W3167491091 cites W1902857097 @default.
- W3167491091 cites W1969136647 @default.
- W3167491091 cites W1969760987 @default.
- W3167491091 cites W1970906114 @default.
- W3167491091 cites W1973481688 @default.
- W3167491091 cites W1988030331 @default.
- W3167491091 cites W1995925861 @default.
- W3167491091 cites W2020679137 @default.
- W3167491091 cites W2039150507 @default.
- W3167491091 cites W2043057066 @default.
- W3167491091 cites W2045849310 @default.
- W3167491091 cites W2050409223 @default.
- W3167491091 cites W2056554402 @default.
- W3167491091 cites W2057858153 @default.
- W3167491091 cites W2058439198 @default.
- W3167491091 cites W2067113234 @default.
- W3167491091 cites W2083367386 @default.
- W3167491091 cites W2083659289 @default.
- W3167491091 cites W2092134511 @default.
- W3167491091 cites W2095670937 @default.
- W3167491091 cites W2102179892 @default.
- W3167491091 cites W2109801076 @default.
- W3167491091 cites W2112548197 @default.
- W3167491091 cites W2145594092 @default.
- W3167491091 cites W2255943747 @default.
- W3167491091 cites W2258703144 @default.
- W3167491091 cites W2581666934 @default.
- W3167491091 cites W2615570111 @default.
- W3167491091 cites W2744484454 @default.
- W3167491091 cites W2748247411 @default.
- W3167491091 cites W2791346819 @default.
- W3167491091 cites W2795012259 @default.
- W3167491091 cites W2804963543 @default.
- W3167491091 cites W2886335158 @default.
- W3167491091 cites W2915247599 @default.
- W3167491091 cites W2920254734 @default.
- W3167491091 cites W2999547502 @default.
- W3167491091 cites W3003109842 @default.
- W3167491091 cites W3004662694 @default.
- W3167491091 cites W3012641474 @default.
- W3167491091 cites W3028773760 @default.
- W3167491091 cites W3089160266 @default.
- W3167491091 cites W3089289563 @default.
- W3167491091 cites W3094173647 @default.
- W3167491091 cites W3112375379 @default.
- W3167491091 cites W3112660770 @default.
- W3167491091 cites W3114236129 @default.
- W3167491091 cites W3157842883 @default.
- W3167491091 doi "https://doi.org/10.48550/arxiv.2106.01872" @default.
- W3167491091 hasPublicationYear "2021" @default.
- W3167491091 type Work @default.
- W3167491091 sameAs 3167491091 @default.
- W3167491091 citedByCount "0" @default.
- W3167491091 crossrefType "posted-content" @default.
- W3167491091 hasAuthorship W3167491091A5047821481 @default.
- W3167491091 hasAuthorship W3167491091A5070164521 @default.
- W3167491091 hasAuthorship W3167491091A5086938169 @default.
- W3167491091 hasBestOaLocation W31674910911 @default.
- W3167491091 hasConcept C121332964 @default.
- W3167491091 hasConcept C126255220 @default.
- W3167491091 hasConcept C13280743 @default.
- W3167491091 hasConcept C134306372 @default.
- W3167491091 hasConcept C135402231 @default.
- W3167491091 hasConcept C173801870 @default.
- W3167491091 hasConcept C182310444 @default.
- W3167491091 hasConcept C185798385 @default.
- W3167491091 hasConcept C204795200 @default.
- W3167491091 hasConcept C205649164 @default.
- W3167491091 hasConcept C2524010 @default.
- W3167491091 hasConcept C2778770139 @default.
- W3167491091 hasConcept C2779886137 @default.
- W3167491091 hasConcept C28826006 @default.
- W3167491091 hasConcept C33923547 @default.
- W3167491091 hasConcept C38349280 @default.
- W3167491091 hasConcept C38409319 @default.
- W3167491091 hasConcept C50478463 @default.
- W3167491091 hasConcept C57879066 @default.
- W3167491091 hasConcept C62354387 @default.
- W3167491091 hasConcept C62520636 @default.
- W3167491091 hasConceptScore W3167491091C121332964 @default.
- W3167491091 hasConceptScore W3167491091C126255220 @default.
- W3167491091 hasConceptScore W3167491091C13280743 @default.
- W3167491091 hasConceptScore W3167491091C134306372 @default.
- W3167491091 hasConceptScore W3167491091C135402231 @default.
- W3167491091 hasConceptScore W3167491091C173801870 @default.
- W3167491091 hasConceptScore W3167491091C182310444 @default.
- W3167491091 hasConceptScore W3167491091C185798385 @default.
- W3167491091 hasConceptScore W3167491091C204795200 @default.
- W3167491091 hasConceptScore W3167491091C205649164 @default.