Matches in SemOpenAlex for { <https://semopenalex.org/work/W2894577977> ?p ?o ?g. }
- W2894577977 abstract "In this paper, we study the stability (in terms of the maximum time step) and accuracy (in terms of the wavenumber-diffusion properties) for several popular discontinuous Galerkin (DG) viscous flux formulations. The considered methods include the symmetric interior penalty formulation (SIPG), the first and second approaches of Bassi and Rebay (BR1, BR2), and the local discontinuous Galerkin method (LDG). For the purpose of stability, we consider the von Neumann stability analysis method for uniform grids with a periodic boundary condition. In addition, the combined-mode analysis approach previously introduced for the wave equation is utilized to analyze the dissipative error. This new approach can be used to study the performance of a particular DG and Runge-Kutta DG (RKDG) scheme for the entire extended wavenumber range. Thus, more insights into the robustness as well as accuracy and efficiency can be obtained. For instance, the LDG method provides larger dissipation for high-wavenumber components than the BR1 and BR2 approaches for short time simulations in addition to a lower error bound for long time simulations. The BR1 approach with added dissipation can have desirable properties and stability similar to BR2. For BR2, the penalty parameter can be adjusted to enhance the performance of the scheme. The results are verified through canonical numerical tests." @default.
- W2894577977 created "2018-10-12" @default.
- W2894577977 creator A5042191381 @default.
- W2894577977 creator A5057508300 @default.
- W2894577977 date "2018-10-07" @default.
- W2894577977 modified "2023-09-27" @default.
- W2894577977 title "On the Accuracy and Stability of Various DG Formulations for Diffusion" @default.
- W2894577977 cites W1507767947 @default.
- W2894577977 cites W1528562574 @default.
- W2894577977 cites W1537224157 @default.
- W2894577977 cites W1583515859 @default.
- W2894577977 cites W1585098889 @default.
- W2894577977 cites W1971949097 @default.
- W2894577977 cites W1979189116 @default.
- W2894577977 cites W1981651014 @default.
- W2894577977 cites W1993311738 @default.
- W2894577977 cites W1996858170 @default.
- W2894577977 cites W2005576690 @default.
- W2894577977 cites W2008007187 @default.
- W2894577977 cites W2012833431 @default.
- W2894577977 cites W2012938047 @default.
- W2894577977 cites W2015883934 @default.
- W2894577977 cites W2018711986 @default.
- W2894577977 cites W2024321716 @default.
- W2894577977 cites W2025486945 @default.
- W2894577977 cites W2027460309 @default.
- W2894577977 cites W202835528 @default.
- W2894577977 cites W2054295668 @default.
- W2894577977 cites W2059017100 @default.
- W2894577977 cites W2062004379 @default.
- W2894577977 cites W2068107702 @default.
- W2894577977 cites W2071408075 @default.
- W2894577977 cites W2078229874 @default.
- W2894577977 cites W2079263908 @default.
- W2894577977 cites W2082890708 @default.
- W2894577977 cites W2088266489 @default.
- W2894577977 cites W2100903519 @default.
- W2894577977 cites W2105071041 @default.
- W2894577977 cites W2106476375 @default.
- W2894577977 cites W2108231114 @default.
- W2894577977 cites W2111710420 @default.
- W2894577977 cites W2113827366 @default.
- W2894577977 cites W2116729868 @default.
- W2894577977 cites W2128755307 @default.
- W2894577977 cites W2130350269 @default.
- W2894577977 cites W2159284429 @default.
- W2894577977 cites W2240628747 @default.
- W2894577977 cites W2332227794 @default.
- W2894577977 cites W2334162480 @default.
- W2894577977 cites W2509790526 @default.
- W2894577977 cites W2605493455 @default.
- W2894577977 cites W2756385467 @default.
- W2894577977 cites W2785951528 @default.
- W2894577977 cites W2792818974 @default.
- W2894577977 cites W49087508 @default.
- W2894577977 cites W755493078 @default.
- W2894577977 hasPublicationYear "2018" @default.
- W2894577977 type Work @default.
- W2894577977 sameAs 2894577977 @default.
- W2894577977 citedByCount "0" @default.
- W2894577977 crossrefType "journal-article" @default.
- W2894577977 hasAuthorship W2894577977A5042191381 @default.
- W2894577977 hasAuthorship W2894577977A5057508300 @default.
- W2894577977 hasBestOaLocation W28945779771 @default.
- W2894577977 hasConcept C104317684 @default.
- W2894577977 hasConcept C112972136 @default.
- W2894577977 hasConcept C119857082 @default.
- W2894577977 hasConcept C120665830 @default.
- W2894577977 hasConcept C121130766 @default.
- W2894577977 hasConcept C121332964 @default.
- W2894577977 hasConcept C134306372 @default.
- W2894577977 hasConcept C135402231 @default.
- W2894577977 hasConcept C135628077 @default.
- W2894577977 hasConcept C163681178 @default.
- W2894577977 hasConcept C182310444 @default.
- W2894577977 hasConcept C185592680 @default.
- W2894577977 hasConcept C28826006 @default.
- W2894577977 hasConcept C33923547 @default.
- W2894577977 hasConcept C41008148 @default.
- W2894577977 hasConcept C55493867 @default.
- W2894577977 hasConcept C63479239 @default.
- W2894577977 hasConcept C71477052 @default.
- W2894577977 hasConcept C77553402 @default.
- W2894577977 hasConcept C92244383 @default.
- W2894577977 hasConcept C97355855 @default.
- W2894577977 hasConcept C99692599 @default.
- W2894577977 hasConceptScore W2894577977C104317684 @default.
- W2894577977 hasConceptScore W2894577977C112972136 @default.
- W2894577977 hasConceptScore W2894577977C119857082 @default.
- W2894577977 hasConceptScore W2894577977C120665830 @default.
- W2894577977 hasConceptScore W2894577977C121130766 @default.
- W2894577977 hasConceptScore W2894577977C121332964 @default.
- W2894577977 hasConceptScore W2894577977C134306372 @default.
- W2894577977 hasConceptScore W2894577977C135402231 @default.
- W2894577977 hasConceptScore W2894577977C135628077 @default.
- W2894577977 hasConceptScore W2894577977C163681178 @default.
- W2894577977 hasConceptScore W2894577977C182310444 @default.
- W2894577977 hasConceptScore W2894577977C185592680 @default.
- W2894577977 hasConceptScore W2894577977C28826006 @default.
- W2894577977 hasConceptScore W2894577977C33923547 @default.