## Abstract It has been shown that both ADI‐FDTD and CN‐FDTD are unconditionally stable. While the ADI is a second‐order approximation, CN is only in the first order. However, analytical expressions reveal that the CN‐FDTD has much smaller truncation errors and is more accurate than the ADI‐FDTD. N
A 3D UNSTRUCTURED MESH ADAPTATION ALGORITHM FOR TIME-DEPENDENT SHOCK-DOMINATED PROBLEMS
✍ Scribed by W. Speares; M. Berzins
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 749 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
In this paper we present a tetrahedron-based, h-re®nement-type algorithm for the solution of problems in 3D gas dynamics using unstructured mesh adaptation. The mesh adaptation algorithm is coupled to a cell-centred, Riemann problem-based, ®nite volume scheme of the MUSCL type, employing an approximate Riemann solver. The adaptive scheme is then used to compute the diffraction of shock waves around a box section corner for subsonic and supersonic post-shock ¯ow. In the subsonic case, preliminary measurements of vortex ®lament speed and vortical Mach number are in broad quantitative agreement with known theoretical results.
📜 SIMILAR VOLUMES
In this paper, the dual boundary element method in time domain is developed for three-dimensional dynamic crack problems. The boundary integral equations for displacement and traction in time domain are presented. By using the displacement equation and traction equation on crack surfaces, the discon