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Xin Liu

Researcher at University of Ottawa

Publications -  24
Citations -  187

Xin Liu is an academic researcher from University of Ottawa. The author has contributed to research in topics: Shallow water equations & Discretization. The author has an hindex of 6, co-authored 24 publications receiving 108 citations. Previous affiliations of Xin Liu include University of Science and Technology of China & Southern University of Science and Technology.

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Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system

TL;DR: An improved well-balanced positivity preserving central-upwind scheme for the two-dimensional Saint-Venant system of shallow water equations is constructed based on a continuous piecewise linear discretization of the bottom topography over an unstructured triangular grid.
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Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed

TL;DR: A high-order well-balanced finite-volume method for a new fully coupled two-dimensional hyperbolic system consisting of the shallow water equations with friction terms coupled with the equations modeling the sediment transport and bed evolution and is verified on a number of numerical experiments.
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A coupled numerical model for water flow, sediment transport and bed erosion

TL;DR: In this article, an accurate Riemann-solver free method for a coupled system modeling shallow water flows, sediment transport and rapid bed erosion is proposed, where the hydrodynamic model solving shallow water equations (SWEs) is coupled with the sediment transport equation and the morphodynamic model.
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An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces

TL;DR: Numerical experiments demonstrate that the developed AP scheme achieves the theoretical second-order rate of convergence and the time-step stability restriction is independent of the Froude number, which makes the proposed AP scheme an efficient and robust alternative to fully explicit numerical methods.
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A coupled two-dimensional numerical model for rapidly varying flow, sediment transport and bed morphology

TL;DR: In this article, a coupled two-dimensional model was proposed to produce a more stable numerical simulation of rapid bed evolution than the conventional decoupled model, which can produce more accurate results than the previously reported coupled model.