A 2-DIMENSIONAL CURVILINEAR WAVEGRID FOR INTEGRATION ALONG TRAVELING WAVES

A curvilinear grid is constructed for the numerical integration of a wave characteristics formulation, where the independent variables are the two-spatial polar coordinates and the time dimension. The grid is formed by the bicharacteristic curves which represent the spacetime location of the wave surfaces. This scheme of integration paths allows the solution to propagate along all existing waves that traverse the solution domain. Without detriment to generality, the wavegrid construction method is developed by considering longitudinal and shear waves with constant speeds of which the speed of the shear waves is the smallest.