Investigation of WENO schemes for 3D unstructured grids
Abstract
This paper paper discusses accuracy of WENO reconstruction used for unstructured grids and applied to two common discretization approaches within Finite Volume Method (FVM). They are Cell Centered and Vertex Centered methods. The numerical results are shown for 3D supersonic flow in a channel and for ONERA M6 wing. The comparison of computational performance of both methods is included.
References
[1] R. Abgrall, T. Sonar, O. Friedrich, G. Billet. High order approximations for compressible fluid dynamics on unstructured and Cartesian meshes. In: T.J. Barth, H. Deconinck, eds, High-Order Methods for Computational Physics. Springer-Verlag', Berlin-Heidelberg, 1999.
[2] Ch. Hu, Ch.-W. Shu. Weighted essentially non-oscillatory schemes on triangular meshes. Journal of Computational Physics, 150: 97-127, 1999.
[3] J . Majewski. An anisotropic adaptation for simulation of compressible flows. Mathematical Modelling and Analysis, 7: 127- 134, 2002.
[4] J. Majewski. Grid Generation for Simulation of Flows in Complex Geometry Areas, Ph.D. thesis. Warsaw, 2002.
[5] K. Sermeus, H. Deconinck. Drag prediction validation of a multi-dimensional upwind solver. CFD Based Aircraft Drag Prediction and Reduction, VKI/ NIA Course, November 3-7 2003, Hampton, Virginia, USA.
[2] Ch. Hu, Ch.-W. Shu. Weighted essentially non-oscillatory schemes on triangular meshes. Journal of Computational Physics, 150: 97-127, 1999.
[3] J . Majewski. An anisotropic adaptation for simulation of compressible flows. Mathematical Modelling and Analysis, 7: 127- 134, 2002.
[4] J. Majewski. Grid Generation for Simulation of Flows in Complex Geometry Areas, Ph.D. thesis. Warsaw, 2002.
[5] K. Sermeus, H. Deconinck. Drag prediction validation of a multi-dimensional upwind solver. CFD Based Aircraft Drag Prediction and Reduction, VKI/ NIA Course, November 3-7 2003, Hampton, Virginia, USA.
Published
2022-08-18
Issue
pp. 457-470
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Wieteska, R., Majewski, J., & Rokicki, J. (2022). Investigation of WENO schemes for 3D unstructured grids. Computer Assisted Methods in Engineering and Science, 14(3), 457-470. https://cames3.ippt.pan.pl/index.php/cames/article/view/816
