2011 |
Florian Hindenlang, Jonathan Neudorfer, Gregor Gassner, Claus-Dieter Munz Unstructured three-dimensional High Order Grids for Discontinuous Galerkin Schemes (Inproceeding) 20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011 , 2011. (Abstract | Links | BibTeX | Tags: Curved Elements, Discontinuous Galerkin, Maxwell) @inproceedings{aiaa_curved, title = {Unstructured three-dimensional High Order Grids for Discontinuous Galerkin Schemes}, author = {Florian Hindenlang and Jonathan Neudorfer and Gregor Gassner and Claus-Dieter Munz}, url = {http://pdf.aiaa.org/preview/2011/CDReadymfd11_2221/PV2011_3853.pdf}, year = {2011}, date = {2011-06-27}, booktitle = {20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011 }, journal = {20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011 }, number = {AIAA-2011-3853 }, abstract = {Discontinuous Galerkin (DG) methods are a prominent candidate for high order accurate schemes for advection dominated problems in three- dimensional complex geometries, since they sustain high order spatial ac- curacy even on general unstructured grids. To maintain the high order accuracy at curved wall boundaries, a high order representation of the el- ements near the wall surface is required, i.e. high order grids. Regarding three-dimensional curved geometries, the construction of such unstructured curved grids is a subtle task. The implementation of the DG scheme will be discussed, focusing on curved element mappings. The mappings of curved element sides as well as the curved element volume are described. We present our approach of the high order grid generation process in detail. The main idea is to rely on established unstructured grid generators for a basic volume grid consisting of straight sided elements and provide addi- tionally high order information for the curved boundaries. We analyze the properties of the geometry approximation with a simple test case using the Maxwell equations. Finally, we present an unstructured curved mesh of a fairly complex aircraft, showing the applicability of the approach.}, keywords = {Curved Elements, Discontinuous Galerkin, Maxwell} } Discontinuous Galerkin (DG) methods are a prominent candidate for high order accurate schemes for advection dominated problems in three- dimensional complex geometries, since they sustain high order spatial ac- curacy even on general unstructured grids. To maintain the high order accuracy at curved wall boundaries, a high order representation of the el- ements near the wall surface is required, i.e. high order grids. Regarding three-dimensional curved geometries, the construction of such unstructured curved grids is a subtle task. The implementation of the DG scheme will be discussed, focusing on curved element mappings. The mappings of curved element sides as well as the curved element volume are described. We present our approach of the high order grid generation process in detail. The main idea is to rely on established unstructured grid generators for a basic volume grid consisting of straight sided elements and provide addi- tionally high order information for the curved boundaries. We analyze the properties of the geometry approximation with a simple test case using the Maxwell equations. Finally, we present an unstructured curved mesh of a fairly complex aircraft, showing the applicability of the approach. |
J. Neudorfer, A. Stock, F. Hindenlang, G. Gassner, C.-D. Munz, R. Schneider, S. Roller Numerical Investigation of High-Order Gyrotron Mode Propagation in Launchers at 170 GHz (Unpublished) 2011, (in preperation). (BibTeX | Tags: Discontinuous Galerkin, Maxwell) @unpublished{NeudorferMaxwell, title = {Numerical Investigation of High-Order Gyrotron Mode Propagation in Launchers at 170 GHz}, author = {J. Neudorfer and A. Stock and F. Hindenlang and G. Gassner and C.-D. Munz and R. Schneider and S. Roller}, year = {2011}, date = {2011-01-01}, note = {in preperation}, keywords = {Discontinuous Galerkin, Maxwell} } |
Unpublished
2011 |
Unstructured three-dimensional High Order Grids for Discontinuous Galerkin Schemes (Inproceeding) 20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011 , 2011. |
Numerical Investigation of High-Order Gyrotron Mode Propagation in Launchers at 170 GHz (Unpublished) 2011, (in preperation). |