Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid–structure interaction, and free surface flow: Part I

作者: Robert Saye

DOI: 10.1016/J.JCP.2017.04.076

关键词:

摘要: … captured with high-order accuracy. Part one discusses the design of the framework, including: (i) high-order quadrature for implicitly defined elements and faces; (ii) high-order accurate …

参考文章(71)
Paul Castillo, An Optimal Estimate for the Local Discontinuous Galerkin Method Springer, Berlin, Heidelberg. pp. 285- 290 ,(2000) , 10.1007/978-3-642-59721-3_23
William L Briggs, A multigrid tutorial ,(1987)
Erik Burman, Susanne Claus, Peter Hansbo, Mats G. Larson, André Massing, CutFEM: Discretizing geometry and partial differential equations International Journal for Numerical Methods in Engineering. ,vol. 104, pp. 472- 501 ,(2015) , 10.1002/NME.4823
F. Heimann, C. Engwer, O. Ippisch, P. Bastian, An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow International Journal for Numerical Methods in Fluids. ,vol. 71, pp. 269- 293 ,(2013) , 10.1002/FLD.3653
D. T. Graves, H. Johansen, D. Devendran, A higher-order finite-volume discretization method for Poisson's equation in cut cell geometries arXiv: Numerical Analysis. ,(2014)
Adrián J. Lew, Gustavo C. Buscaglia, A discontinuous‐Galerkin‐based immersed boundary method International Journal for Numerical Methods in Engineering. ,vol. 76, pp. 427- 454 ,(2008) , 10.1002/NME.2312