A5100703417- Computational Fluid Dynamics and Aerodynamics
- Advanced Numerical Methods in Computational Mathematics
- Numerical methods for differential equations
- Fluid Dynamics and Turbulent Flows
- Differential Equations and Numerical Methods
- Meteorological Phenomena and Simulations
- Gas Dynamics and Kinetic Theory
- Model Reduction and Neural Networks
- Cellular Mechanics and Interactions
- Mathematical Biology Tumor Growth
- Developmental Biology and Gene Regulation
- Matrix Theory and Algorithms
- Extraction and Separation Processes
- Metal Extraction and Bioleaching
- Human Mobility and Location-Based Analysis
- COVID-19 epidemiological studies
- Advanced Mathematical Modeling in Engineering
- Aerodynamics and Acoustics in Jet Flows
- Data-Driven Disease Surveillance
- Hydraulic and Pneumatic Systems
- Oil and Gas Production Techniques
- Geotechnical Engineering and Soil Stabilization
- Minerals Flotation and Separation Techniques
- Iterative Learning Control Systems
- Congenital heart defects research
University of Notre Dame
2015-2024
China National Petroleum Corporation (China)
2024
Qingdao University of Science and Technology
2017-2023
Zhejiang University
2007-2023
CCCC Wuhan Harbour Engineering Design and Research (China)
2019
Yan'an University
2018
Southeast University
2018
Shanghai Dianji University
2018
Chinese Research Academy of Environmental Sciences
2014-2017
Beijing Institute of Technology
2014-2017
The original fast sweeping method, which is an efficient iterative method for stationary Hamilton–Jacobi equations, relies on natural ordering provided by a rectangular mesh. We propose novel strategies so that the can be extended efficiently and easily to any unstructured To end we introduce multiple reference points order all nodes according their $l^p$‐metrics those points. show these orderings satisfy two most important properties underlying method: (1) cover directions of information...
In this paper we construct high-order weighted essentially nonoscillatory (WENO) schemes for solving the nonlinear Hamilton--Jacobi equations on two-dimensional unstructured meshes. The main ideas are nodal based approximations, usage of monotone Hamiltonians as building blocks meshes, weights using smooth indicators second and higher derivatives, a strategy to choose diversified smaller stencils make up bigger stencil in WENO procedure. Both third-order fourth-order combinations...
Abstract In this paper, an enclosed membrane‐photobioreactor was designed to remove CO 2 using Chlorella vulgaris . The performances of four reactors, which included the presented novel bioreactor, a draft tube airlift photobioreactor, bubble column and membrane contactor, were compared. effects gas flow rate, light intensity, quality inner source, characteristics module on fixation investigated. results showed that rate in 0.95–5.40 times higher than other three conventional reactors under...
Background Major unresolved questions regarding vertebrate limb development concern how the numbers of skeletal elements along proximodistal (P-D) and anteroposterior (A-P) axes are determined shape a growing affects element formation. There is currently no generally accepted model for these patterning processes, but recent work on cartilage (chondrogenesis) indicates that precartilage tissue self-organizes into nodular patterns by cell-molecular circuitry with local auto-activating lateral...
A quantitative study is carried out in this paper to investigate the size of numerical viscosities and resolution power high-order weighted essentially nonoscillatory (WENO) schemes for solving one- two-dimensional Navier-Stokes equations compressible gas dynamics with high Reynolds numbers. one-dimensional shock tube problem, a example parameters motivated by supernova laser experiments, Rayleigh-Taylor instability problem are used as test problems. For or similar problems small-scale...
The interaction between a shock wave and strong vortex is simulated systematically through solving the two-dimensional, unsteady compressible Navier–Stokes equations using fifth-order weighted essentially nonoscillatory finite difference scheme. Our main purpose in this study to characterize flow structure generation of sound waves shock–strong interaction. simulations show that has multistage feature. It contains initial vortex, reflected deformed shocklets vortex. are generated by...
In [F. Li, C.-W. Shu, Y.-T. Zhang, H. Zhao, J. Comput. Phys., 227 (2008) pp. 8191–8208], we developed a fast sweeping method based on hybrid local solver which is combination of discontinuous Galerkin (DG) finite element and first order difference for Eikonal equations. The has second accuracy in the $L^1$ norm very convergence speed, but only $L^\infty$ general cases. This an obstacle to design higher DG methods. this paper, overcome problem by developing uniformly accurate methods solving...
Abstract Fixed-point iterative sweeping methods were developed in the literature to efficiently solve static Hamilton-Jacobi equations. This class of utilizes Gauss-Seidel iterations and alternating strategy achieve fast convergence rate. They take advantage properties hyperbolic partial differential equations (PDEs) try cover a family characteristics corresponding equation certain direction simultaneously each order. Different from other methods, fixed-point have advantages such as that...