Zhen Gao
Ocean University of China
32 Papers
53 Citations
Zhen Gao is an academic researcher from Ocean University of China. The author has contributed to research in topics: Nonlinear system & Finite difference. The author has an hindex of 12, co-authored 32 publications. Previous affiliations of Zhen Gao include Brown University.
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Papers
An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws
TL;DR: It is demonstrated that the WENO-Z weights should be employed to recover the optimal order of accuracy at the critical points of a smooth function.
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A Characteristic-wise Alternative WENO-Z Finite Difference Scheme for Solving the Compressible Multicomponent Non-reactive Flows in the Overestimated Quasi-conservative Form
TL;DR: Extensive one- and two-dimensional classical benchmark problems, such as the moving material interface problem, multifluid shock-density interaction problem and shock-R22-bubble interaction problem, verify the theoretical results and show that the AWENO schemes demonstrate less dissipation error and higher resolution than the classical WENO-Z scheme in the splitting form.
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Efficient Solution of Ordinary Differential Equations with High-Dimensional Parametrized Uncertainty
Zhen Gao,Jan S. Hesthaven +1 more
TL;DR: This work discusses how the combination of ANOVA expansions, different sparse grid techniques, and the total sensitivity index (TSI) as a pre-selective mechanism enables the modeling of problems with hundred of parameters.
High Order Weighted Essentially Non-Oscillation Schemes For One-Dimensional Detonation Wave Simulations
Zhen Gao,Wai Sun Don,Zhiqiu Li +2 more
TL;DR: The grid convergence study demonstrates that the high order WENO schemes converge faster than other existing lower order schemes such as unsplit scheme, Roe’s solver with minmod limiter and Roe‘s Solver with superbee limiter in reaching the predicted peak pressure.
Well-balanced hybrid compact-WENO scheme for shallow water equations
TL;DR: In this paper, the authors investigated the performance of the high order well-balanced hybrid compact-weighted essentially non-oscillatory (WENO) finite difference scheme (Hybrid) for simulations of shallow water equations with source terms due to a non-flat bottom topography.
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