점성유동 계산을 위한 Sparse Point Representation

Abstract

The blue ribbon intentions of the Sparse Point Representation are to represent the function through point values, prescribed by wavelets coefficient based on interpolation wavelet transform. In fluid dynamics there are three formidable impediments shock, boundary layer and turbulence. Few studies, however, have examined the effects of shock phenomenon by using adaptive wavelets method and none to our knowledge have applied this to viscous flow assessment. In order to control the flag values of the grid points for SPR dataset and thresholding a data set, the viscous effects have been invoked in this research for the first time to modify the threshold function. The viscous sparse point representation method with modified threshold function is successfully applied to two-dimensional steady Navier-stokes equation. Thus it may be inferred from the numerical test implemented in this research that viscous SPR method with modified threshold function not only preserves the accuracy of previous method but also enhances the convergence acceleration and data compression.