“…Other pioneering work includes that of Starius [6][7][8], Kreiss [9], and Steger et al [10] who referred to the approach as Chimera grids. Since this early work, the overlapping grid technique has been used successfully to solve a wide variety of problems in high-speed reactive flow [2,3,11], reactive and non-reactive multi-material flow [12,13], combustion [14], aerodynamics [15][16][17][18][19][20][21], blood flow [22], flows around ships [23], visco-elastic flows [24], and flows with deforming boundaries [25][26][27], among others. The use of AMR in combination with overlapping grids was considered by Brislawn et al [28], Boden and Toro [29], Meakin [21], Henshaw and Schwendeman [2,3], and Banks et al [12,13].…”