The Ghost Cell Method and Its Applications for Inviscid Compressible Flow on Adaptive Tree Cartesian Grids
Year: 2009
Author: Jianming Liu, Ning Zhao, Ou Hu
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 5 : pp. 664–682
Abstract
In this paper, an immersed boundary algorithm is developed by combining the ghost cell method with adaptive tree Cartesian grid method. Furthermore, the proposed method is successfully used to evaluate various inviscid compressible flow with immersed boundary. The extension to three dimensional cases is also achieved. Numerical examples demonstrate the proposed method is effective.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0912
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 5 : pp. 664–682
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Ghost cell method Cartesian grid adaptive tree method inviscid compressible flow.
Author Details
-
Very high-order Cartesian-grid finite difference method on arbitrary geometries
Clain, S. | Lopes, D. | Pereira, R.M.S.Journal of Computational Physics, Vol. 434 (2021), Iss. P.110217
https://doi.org/10.1016/j.jcp.2021.110217 [Citations: 13] -
A constrained boundary gradient reconstruction method for unstructured finite volume discretization of the Euler equations
Wei, Yan-xin | Zhang, Fan | Liu, Jun | Su, Hong-xing | Xu, Chun-guangComputers & Fluids, Vol. 252 (2023), Iss. P.105774
https://doi.org/10.1016/j.compfluid.2022.105774 [Citations: 0] -
Verification and validation of a finite volume immersed boundary method for the simulation of static and moving geometries
Kettemann, J. | Gatin, I. | Bonten, C.Journal of Non-Newtonian Fluid Mechanics, Vol. 290 (2021), Iss. P.104510
https://doi.org/10.1016/j.jnnfm.2021.104510 [Citations: 9] -
Numerical simulation of supersonic sea-skimming flight based on discontinuous Galerkin method with adaptive mesh refinement framework
Kong, Qi | Liu, Yun-Long | Ma, Shan | Zhang, A-ManPhysics of Fluids, Vol. 35 (2023), Iss. 12
https://doi.org/10.1063/5.0176472 [Citations: 2] -
Adaptive Runge–Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid
Liu, Jianming | Qiu, Jianxian | Hu, Ou | Zhao, Ning | Goman, Mikhail | Li, XinkaiInternational Journal for Numerical Methods in Fluids, Vol. 73 (2013), Iss. 10 P.847
https://doi.org/10.1002/fld.3825 [Citations: 11] -
Development of a Parallel Explicit Finite-Volume Euler Equation Solver using the Immersed Boundary Method with Hybrid MPI-CUDA Paradigm
Kuo, F. A. | Chiang, C. H. | Lo, M. C. | Wu, J. S.Journal of Mechanics, Vol. 36 (2020), Iss. 1 P.87
https://doi.org/10.1017/jmech.2019.9 [Citations: 2] -
A new immersed boundary method for compressible Navier–Stokes equations
Liu, Jianming | Zhao, Ning | Hu, Ou | Goman, Mikhail | Li, Xin KaiInternational Journal of Computational Fluid Dynamics, Vol. 27 (2013), Iss. 3 P.151
https://doi.org/10.1080/10618562.2013.791391 [Citations: 11] -
Positivity-Preserving Runge-Kutta Discontinuous Galerkin Method on Adaptive Cartesian Grid for Strong Moving Shock
Liu, Jianming | Qiu, Jianxian | Goman, Mikhail | Li, Xinkai | Liu, MeilinNumerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 1 P.87
https://doi.org/10.4208/nmtma.2015.m1416 [Citations: 11] -
A Cartesian grid method for compressible flows to compute shock waves
Farooq, M. Asif | Muller, B.Proceedings of 2012 9th International Bhurban Conference on Applied Sciences & Technology (IBCAST), (2012), P.274
https://doi.org/10.1109/IBCAST.2012.6177565 [Citations: 0]