High-Accuracy Methods for Numerical Flow Analysis Using Adaptive Non-Linear Wavelets
Final rept. 6 May 2010-5 May 2012
HANYANG UNIV AT ANSAN (KOREA)
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Nonlinear adaptive wavelets are developed for compact data representation and efficient flow solution algorithms. To flow solution algorithms, proposed new adaptive wavelets enhance the computational efficiency as well as preserve the numerical accuracy in steady and unsteady flow computations. These advantageous features of the wavelet are confirmed by the numerical tests of two-dimensional airfoil problem and unsteady shock-vortex interaction problem. An adaptive wavelet method with higher order of accuracy is also proposed to allow more accurate flow computation. For the high order accuracy of a solution, higher order of interpolating polynomial is utilized in wavelet decomposition process. This high order adaptive wavelet method was successfully applied to one-dimensional shock-sine interaction, two-dimensional shock-vortex interaction, isentropic vortex, and viscous shock tube problems. Through these applications, computational efficiency is substantially enhanced while higher order numerical accuracy of a CFD solver is successfully preserved.
- Operations Research
- Fluid Mechanics