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A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on cartesian grids

Communications in Computational Physics 2023年第5期33卷 1270-1331页

作者： Yifei Wan Yinhua Xia School of Mathematical Sciences University of Science and Technology of ChinaHefeiAnhui 230026P.R.China

For steady Euler equations in complex boundary domains,high-order shockcapturing schemes usually suffer not only from the difficulty of steady-state convergence but also from the problem of dealing with physical boundaries on cartesian grids to achieve uniform high-order *** this paper,we utilize a fifth-order finite difference hybrid WENO scheme to simulate steady Euler equations,and the same fifth-order WENO extrapolation methods are developed to handle the curved *** values of the ghost points outside the physical boundary can be obtained by applying WENO extrapolation near the boundary,involving normal derivatives acquired by the simplified inverse Lax-Wendroff *** equivalent expressions involving curvature and numerical differentiation are utilized to transform the tangential derivatives along the curved solid wall *** hybrid WENO scheme is robust for steady-state convergence and maintains high-order accuracy in the smooth region even with the solid wall boundary ***,the essentially non-oscillation property is *** numerical spectral analysis also shows that this hybrid WENO scheme has low dispersion and dissipation *** examples are presented to validate the high-order accuracy and robust performance of the hybrid scheme for steady Euler equations in curved domains with cartesian grids.

关键词： Euler equations steady-state convergence curved boundary cartesian grids WENO extrapolation hybrid scheme

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cartesian Grid Method with Cut Cell in the Mold Filling Simulation

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Journal of Materials Science & Technology 2008年第3期24卷 379-382页

作者： Youngsim Choi Junho Hong Hoyoung Hwang Jeongkil Choi Center-for e-Design KITECH7-47-Songdo-DongYeonsu-Ku

In this paper, a cartesian grid method with cut cell has been developed to simulate mold filling of casting process. Cut cells at the cast-mold interface are generated on the cartesian grid. With the boundary cut cells, a special treatment is necessary. That is cartesian grid method with cut cell. A simple shape was tested and the cut cell method was compared with the traditional one on cartesian grids. And, a developed method was applied to the real casting product simulation. cartesian grid system causes momentum loss and unsound fluid flow patterns because of inaccurate generation of meshes. These problems have been improved by using cut cell method.

关键词： cartesian grids Cut cell Momentum loss

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A parallel methodology of adaptive cartesian grid for compressible flow simulations

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Advances in Aerodynamics 2022年第1期4卷 449-478页

作者： Xinyu Qi Yuchen Yang Linlin Tian Zhenming Wang Ning Zhao College of Aerospace Engineering Nanjing University of Aeronautics and AstronauticsNanjing210016China State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and AstronauticsNanjing210016China

The combination of cartesian grid and the adaptive mesh refinement(AMR)technology is an effective way to handle complex geometry and solve complex flow *** high-efficiency cartesian-based AMR libraries have been developed to handle dynamic changes of the grid in parallel but still can not meet the unique requirements of simulating flow around *** this paper,we propose an efficient cartesian grid generation method and an information transmission approach for the wall boundary to parallelize the implementation of ghost-cell method(GCM).Also,the multi-valued ghost-cell method to handle multi-value points is improved to adapt to the parallel *** the mentioned methodologies with the open-source library p4est,an automatic and efficient simulation of compressible flow is *** overall performance of the methodology is tested through a wide range of inviscid/viscous flow *** results indicate that the capability and parallel scalability of the present numerical methodology for solving multiple types of flows,involving shock and vortices,multi-body flow and unsteady flows are agreeable as compared with related reference data.

关键词： cartesian grids AMR Parallel computing Compressible flow Immersed boundary method

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