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Pregled bibliografske jedinice broj: 963011

Analytical implementation of Roe solver for two-layer shallow water equations with accurate treatment for loss of hyperbolicity


Krvavica, Nino; Tuhtan, Miran; Jelenić, Gordan
Analytical implementation of Roe solver for two-layer shallow water equations with accurate treatment for loss of hyperbolicity // Advances in water resources, 122 (2018), C; 187-205 doi:10.1016/j.advwatres.2018.10.017 (međunarodna recenzija, članak, znanstveni)


Naslov
Analytical implementation of Roe solver for two-layer shallow water equations with accurate treatment for loss of hyperbolicity

Autori
Krvavica, Nino ; Tuhtan, Miran ; Jelenić, Gordan

Izvornik
Advances in water resources (0309-1708) 122 (2018), C; 187-205

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Shallow-water equation ; quartic ; finite-volume method ; Roe solver ; two-layer flow ; hyperbolicity loss

Sažetak
A new implementation of the Roe scheme for solving two-layer shallow-water equations is presented in this paper. The proposed A-Roe scheme is based on the analytical solution to the characteristic quartic of the flux matrix, which is an efficient alternative to a numerical eigensolver. Additionally, an accurate method for maintaining the hyperbolic character of the governing system is proposed. The efficiency of the quartic closed-form solver is examined and compared to numerical eigensolvers. Furthermore, the accuracy and computational speed of the A-Roe scheme is compared to the Roe, Lax-Friedrichs, GFORCE, PVM, and IFCP schemes. Finally, numerical tests are presented to evaluate the efficiency of the iterative treatment for the hyperbolicity loss. The proposed A-Roe scheme is as accurate as the Roe scheme, but much faster, with computational speeds closer to the GFORCE and IFCP scheme.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo



POVEZANOST RADA


Ustanove
Građevinski fakultet, Rijeka

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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