Abstract
In the above computations, we use the two-dimensional triangular and three-dimensional tetrahedron for the shape of control volumes. Generally speaking, the triangle and tetrahedron are more suitable for generating quasi-isotropic grids.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Tsoutsanis P, Titarev VA, Drikakis D (2011) WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions. J Comput Phys 230:1585–1601
Dumbser M, Käser M, Titarev VA et al (2007) Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. J Comput Phys 226:204–243
Hu C, Shu CW (1999) Weighted essentially non-oscillatory schemes on triangular meshes. J Comput Phys 150:97–127
Ollivier-Gooch C, Altena MV (2002) A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation. J Comput Phys 181:729–752
Lübon C, Wagner S (2007) Three-dimensional discontinuous Galerkin codes to simulate viscous flow by spatial discretization of high order and curved elements on unstructured grids. New Results Numer Exp Fluid Mech 96:145–153
Krivodonova L, Berger M (2006) High-order accurate implementation of solid wall boundary conditions in curved geometries. J Comput Phys 211:492–512
Johnson TA, Patel VC (1999) Flow past a sphere up to a Reynolds number of 300. J Fluid Mech 378:19C70
Gassner G (2009) Discontinuous Galerkin method for the unsteady compressible Navier-Stokes equations. PhD thesis, University Stuttgart, Germany
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Li, W. (2014). Mixed Element and Curved Boundary Treatment. In: Efficient Implementation of High-Order Accurate Numerical Methods on Unstructured Grids. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43432-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-662-43432-1_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-43431-4
Online ISBN: 978-3-662-43432-1
eBook Packages: EngineeringEngineering (R0)