title: Application of hybrid Riemann solvers based on HLLC and HLL for simulation of flows with gas-dynamic discontinuities
metadata.name: dc.contributor.author
metadata.value: Shoev, Georgy V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-12-27T13:32:37Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-12-27T13:32:37Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Shoev G.V. Application of hybrid Riemann solvers based on HLLC and HLL for simulation of flows with gas-dynamic discontinuities. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 4, pp. 775–791. https://doi.org/10.21638/spbu01.2023.413 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.413
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44564
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Application of hybrid approximate Riemannian solvers based on standard HLLC and HLL
  solvers is discussed. Three different hybrid solvers are considered. The first hybrid solver
  (rHLLC-HLL) uses a weighted sum of HLLC and HLL so that HLLC is applied in the
  direction normal to the shock wave while HLL is applied in the direction along it. The
  second hybrid solver (HLLC-ADC) uses the weighted sum of HLLC and HLL, applying
  as weights the pressure function at the left and right cell centers. The third hybrid solver
  (HLLC-HLL) computes inviscid fluxes by HLL inside shock waves, and by HLLC in other
  areas of the flow. Facets within shock waves are defined by a shock wave indicator based
  on the reconstructed left and right pressure values of the face. Several tests are performed,
  and it is shown that hybrid solvers prevent the carbuncle and reduce oscillations on shock
  waves.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was carried out within the framework of the state task of Institute of Theoretical and
  Applied Mechanics of the Siberian Branch of the Russian Academy Sciences.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10(68); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: finite volume method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: approximate Riemannian solver
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: carbuncle
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Riemannian solver HLLC
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Riemannian solver HLL
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Application of hybrid Riemann solvers based on HLLC and HLL for simulation of flows with gas-dynamic discontinuities
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 775-791.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44564/1/775-791.pdf
resources.format: Adobe PDF
resources.size: 2,52 MB