AN IMPROVED SPH APPROACH USING NEW INVERSE KERNEL FUNCTION

The objective of this paper is to derive a new kernel function that gives zero error in second order approximation. The new kernel function is derived using inverse logarithmic function hence the name is given as inverse logarithmic kernel function. The kernel functions are approximated using Moving Least Squares based approximation that are typically different from the traditional SPH method. The graph includes inverse logarithmic kernel function and its derivatives; comparison of inverse logarithmic function with cubic kernel and gauss kernel; Pressure and velocity profiles for 2D shock wave propagatation and the manuscript in word format