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Author Díaz, M. J. Castro ♦ Rebollo, T. Chacón ♦ Fernández-Nieto, E. D.
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Smooth Stationary Solution ♦ Nonconservative Term ♦ Finite Volume Method ♦ Meaningful Geometry ♦ Arbitrary Cross-section ♦ Bilayer Shallow-water Equation ♦ Approximated Asymptotic Analytical Solution ♦ Nonhomoge-neous Hyperbolic System ♦ General Family ♦ Numerical Test ♦ Computed Solution
Abstract Abstract. In this work we introduce a general family of finite volume methods for nonhomoge-neous hyperbolic systems with nonconservative terms. We prove that all of them are “asymptotically well-balanced”: they preserve all smooth stationary solutions in all the domain except for a set whose measure tends to zero as Δx tends to zero. This theory is applied to solve the bilayer shallow-water equations with arbitrary cross-section. Finally, some numerical tests are presented for simplified but meaningful geometries, comparing the computed solution with approximated asymptotic analytical solutions.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article