Giovanna Grosso | Graz University of Technology (original) (raw)

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Papers by Giovanna Grosso

Research paper thumbnail of Dispersive nonlinear shallow-water equations: some preliminary numerical results

Journal of Engineering Mathematics, 2010

A set of dispersive and hyperbolic depth-averaged equations is obtained using a hyperbolic approx... more A set of dispersive and hyperbolic depth-averaged equations is obtained using a hyperbolic approximation of a chosen set of fully nonlinear and weakly dispersive Boussinesq-type equations. These equations provide, at a reasonably reduced cost, both a physically sound description of the nearshore dynamics and a complete representation of dispersive and nonlinear wave phenomena. A detailed description of the conditioning of the dispersive terms and a physical interpretation of the hyperbolic approximation is provided. The dispersive and hyperbolic structure of the new set of equations is analyzed in depth and an analytical solitary-wave solution is found.

Research paper thumbnail of The Riemann Problem for the Dispersive Nonlinear Shallow Water Equations

Communications in Computational Physics, 2009

Research paper thumbnail of Dispersive nonlinear shallow-water equations: some preliminary numerical results

Journal of Engineering Mathematics, 2010

The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1–28, 2008... more The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1–28, 2008) are solved by means of an explicit arbitrary high-order accurate finite-volume scheme for nonlinear hyperbolic systems with stiff source terms. Tests against typical benchmark solutions are used to illustrate the robustness and accuracy of the solver while typical solutions for the propagation of solitary waves on a slope highlight the solution value in reproducing nearshore flows.

Research paper thumbnail of Dispersive nonlinear shallow-water equations: some preliminary numerical results

Journal of Engineering Mathematics, 2010

A set of dispersive and hyperbolic depth-averaged equations is obtained using a hyperbolic approx... more A set of dispersive and hyperbolic depth-averaged equations is obtained using a hyperbolic approximation of a chosen set of fully nonlinear and weakly dispersive Boussinesq-type equations. These equations provide, at a reasonably reduced cost, both a physically sound description of the nearshore dynamics and a complete representation of dispersive and nonlinear wave phenomena. A detailed description of the conditioning of the dispersive terms and a physical interpretation of the hyperbolic approximation is provided. The dispersive and hyperbolic structure of the new set of equations is analyzed in depth and an analytical solitary-wave solution is found.

Research paper thumbnail of The Riemann Problem for the Dispersive Nonlinear Shallow Water Equations

Communications in Computational Physics, 2009

Research paper thumbnail of Dispersive nonlinear shallow-water equations: some preliminary numerical results

Journal of Engineering Mathematics, 2010

The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1–28, 2008... more The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1–28, 2008) are solved by means of an explicit arbitrary high-order accurate finite-volume scheme for nonlinear hyperbolic systems with stiff source terms. Tests against typical benchmark solutions are used to illustrate the robustness and accuracy of the solver while typical solutions for the propagation of solitary waves on a slope highlight the solution value in reproducing nearshore flows.

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