Publicado 4 números por año
ISSN Imprimir: 1065-3090
ISSN En Línea: 1940-4336
Indexed in
AN ADAPTIVE TWO-DIMENSIONAL MESH REFINEMENT METHOD BASED ON THE LAW OF MASS CONSERVATION
SINOPSIS
Mesh generation is one of key issues in Computational Fluid Dynamics. This paper presents an adaptive two-dimensional mesh refinement method based on the law of mass conservation. The method can be applied to a governing system that includes the law of mass conservation (continuity equation) for incompressible or compressible steady flows. Users can choose how many refinements they want to perform on the original mesh. The more the number of refinements, the less the error of calculations is. The refined meshes can identify the accurate locations of asymptotes and singular points and draw accurate closed streamlines if the number of refinements is big enough. We show two examples that demonstrate the claims.
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Lal Rajnesh, Li Zhenquan, Sensitivity analysis of a mesh refinement method using the numerical solutions of 2D lid-driven cavity flow, Journal of Mathematical Chemistry, 53, 3, 2015. Crossref
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Li Zhenquan, Accuracy analysis of a mesh refinement method using benchmarks of 2-D lid-driven cavity flows and finer meshes, Journal of Mathematical Chemistry, 52, 4, 2014. Crossref
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Li Zhenquan, Wood Robert, Accuracy analysis of an adaptive mesh refinement method using benchmarks of 2-D steady incompressible lid-driven cavity flows and coarser meshes, Journal of Computational and Applied Mathematics, 275, 2015. Crossref
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Crowhurst P., Zhenquan Li , Numerical Solutions of One-Dimensional Shallow Water Equations, 2013 UKSim 15th International Conference on Computer Modelling and Simulation, 2013. Crossref
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Li Zhenquan, Lal Rajnesh, An Application of a Mesh Refinement Method Based on the Law of Mass Conservation, 2010 International Conference on Computational and Information Sciences, 2010. Crossref
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Li Zhenquan, Crowhurst Peter, Wood Robert, Error Driven Node Placement as Applied to One Dimensional Shallow Water Equations, 2015 17th UKSim-AMSS International Conference on Modelling and Simulation (UKSim), 2015. Crossref
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Li Zhenquan, Wood Robert, Accuracy verification of a 2D adaptive mesh refinement method for incompressible or steady flow, Journal of Computational and Applied Mathematics, 318, 2017. Crossref
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Li Zhenquan, Wood Robert, Bardis N., CFD Analysis of 2D Unsteady Flow Past a Square Cylinder at Low Reynolds Numbers, ITM Web of Conferences, 16, 2018. Crossref
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Li Zhenquan, Li Miao, Accuracy Verification of a 2D Adaptive Mesh Refinement Method Using Backward-Facing Step Flow of Low Reynolds Numbers, International Journal of Computational Methods, 18, 03, 2021. Crossref