The application of adaptive wavelet method to multi-dimensional limiting process for enhancement of computational efficiency

ASME-JSME-KSME 2011 Joint Fluids Engineering Conference, AJK 2011

Volumn 1, Issue PARTS A, B, C, D, 2011, Pages 1089-1094

  Kang, Hyungmin ^a   Park, Kyunghyun ^b   Lee, Dongho ^b   Kim, Kyuhong ^b   Park, Seunghwan ^c   Lee, Dohyung ^c  

^a Korea Aerospace Research Institute (KARI)   (South Korea)

^b Seoul National University   (South Korea)

^c Hanyang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE WAVELETS; COMPUTATIONAL TIME; INTERPOLATION METHOD; LIMITING PROCESS; NUMERICAL ACCURACY; SHOCK-VORTEX INTERACTION; SPATIAL INTERPOLATION; WAVELET TRANSFORMATIONS;

COMPUTATIONAL EFFICIENCY; COMPUTATIONAL FLUID DYNAMICS; INTERPOLATION; VORTEX FLOW; WAVELET DECOMPOSITION;

NUMERICAL METHODS;

EID: 84881452802     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/AJK2011-01009     Document Type: Conference Paper

References (10)

1. Harten, A., 1983. "High resolution schemes for hyperbolic conservation laws." J. Comput. Phys., 49, pp. 357-393.
2. Harten, A., Enquist, B., Osher, S. and Chakravarthy, S.R., 1987. "Uniformly high order accurate essentially non-oscillatory schemes, III." J. Comput. Phys., 71, pp. 231-303.
3. Kim, K. and Kim, C, 2005. "Efficient and monotonic numerical methods for multi-dimensional compressible flows Part II: Multi-dimensional limiting process." J. Comput. Phys., 208, pp. 570-615.
4. Kang, H., Kim, K. and Lee, D., 2010. "A new approach of a limiting process for multi-dimensional flows." J. Comput. Phys., 229, pp. 7102-7128.
5. Sjögreen, B., 1995. "Numerical experiments with the multi-resolution scheme for the compressible Euler equations," J. Comput. Phys., 117, pp. 251-261.
6. Kang, H., Kim, K, Lee, D. and Lee, D., 2008. "Improvement in computational efficiency of Euler equations via a modified Sparse Point Representation method". Compu. and Fluids, 37, pp. 265-280.
7. Kang, H., Kim, K, Lee, D. and Lee, D., 2008. "Improved computational efficiency of unsteady flow problems via the modified wavelet method", AIAA J. 46, pp. 1191-1203.
8. Kim, K, Kim, C. and Rho, O., 2001. "Methods for the accurate computations of hypersonic flows: I. AUSMPW+ scheme". J. Comput. Phys., 174, pp. 38-80.
9. Kim, K. and Kim, C, 2005. "Accurate, efficient and mono-tonic numerical methods for multi-dimensional compressible flows Part I: Spatial discretization". J. Comput. Phys., 208, pp. 527-569.
10. Inoue, O. and Hattori, Y., 1999. "Sound generation by shock-vortex interactions". J. Fluid Mech. 380, pp 81-116.