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.

Provedeno je eksperimentalno ispitivanje dinamičkog odziva modela slobodno oslonjene grede s dodatnim koncentriranim masama. Određene su amplitude pobude unutar kojih je odgovor grede linearan. Prikazani su eksperimentalno dobiveni rezultati za pomake grede prilikom harmonijske jednolike i nejednolike pobude te prilikom simulacije Northridge potresnog zapisa, koji se mogu koristiti kao eksperimentalni benchmark primjerci za nejednoliku pobudu oslonaca.